Publications on the XFEM

We have gathered some of the most important publications on the XFEM and related methods. For easier access we have sorted them into the following categories:

Complete list of references on the XFEM and related methods

1 Y. Abdelaziz, A. Hamouine: A survey of the extended finite element, Computers & Structures, 86, 1141–1151, 2008.
2 M. Anahid, A.R. Khoei: New development in extended finite element modeling of large elasto-plastic deformations, Internat. J. Numer. Methods Engrg., 75, 1133–1171, 2008.
3 G. Anciaux, J.F. Molinari: Contact mechanics at the nanoscale, a 3D multiscale approach, Internat. J. Numer. Methods Engrg., DOI: 10.1002/nme.2590, 2009.
4 D.M. Anderson, G.B. McFadden, A.A. Wheeler: Diffuse-interface methods in fluid mechanics, Annu. Rev. Fluid Mech, 30, 139–165, 1998.
5 P.M.A. Areias, T. Belytschko: Analysis of three-dimensional crack initiation and propagation using the extended finite element method, Internat. J. Numer. Methods Engrg., 63, 760–788, 2005.
6 P.M.A. Areias, T. Belytschko: Non-linear analysis of shells with arbitrary evolving cracks using XFEM, Internat. J. Numer. Methods Engrg., 62, 384–415, 2005.
7 P.M.A. Areias, T. Belytschko: Two-scale shear band evolution by local partition of unity, Internat. J. Numer. Methods Engrg., 66, 878–910, 2006.
8 P.M.A. Areias, T. Belytschko: A comment on the article “A finite element method for simulation of strong and weak discontinuities in solid mechanics” by A. Hansbo and P. Hansbo [Comput.Methods Appl. Mech. Engrg. 193 (2004) 3523-3540], Comp. Methods Appl. Mech. Engrg., 195, 1275–1276, 2006.
9 P.M.A. Areias, T. Belytschko: Two-scale method for shear bands: thermal effects and variable bandwidth, Internat. J. Numer. Methods Engrg., 72, 658–696, 2007.
10 P.M.A. Areias, J.H. Song, T. Belytschko: A finite-strain quadrilateral shell element based on discrete Kirchhoff-Love constraints, Internat. J. Numer. Methods Engrg., 64, 1166–1206, 2005.
11 P.M.A. Areias, J.H. Song, T. Belytschko: Analysis of fracture in thin shells by overlapping paired elements, Comp. Methods Appl. Mech. Engrg., 195, 5343–5360, 2006.
12 I. Arias, J. Knap, V.B. Chalivendra, S. Hong, M. Ortiz, A.J. Rosakis: Numerical modelling and experimental validation of dynamic fracture events along weak planes, Comp. Methods Appl. Mech. Engrg., 196, 3833–3840, 2007.
13 A. Asadpoure, S. Mohammadi: Developing new enrichment functions for crack simulation in orthotropic media by the extended finite element method, Internat. J. Numer. Methods Engrg., 69, 2150–2172, 2007.
14 J.L. Asferg, P.N. Poulsen, L.O. Nielsen: A consistent partly cracked XFEM element for cohesive crack growth, Internat. J. Numer. Methods Engrg., 72, 464–485, 2007.
15 A.O. Ayhan, H.F. Nied: Stress intensity factors for three-dimensional surface cracks using enriched finite elements, Internat. J. Numer. Methods Engrg., 54, 899–921, 2002.
16 I. Babuška, J.M. Melenk: The partition of unity method, Internat. J. Numer. Methods Engrg., 40, 727–758, 1997.
17 I. Babuška, F. Ihlenburg, E.T. Paik, S.A. Sauter: A Generalized Finite Element Method for solving the Helmholtz equation in two dimensions with minimal pollution, Comp. Methods Appl. Mech. Engrg., 128, 325–359, 1995.
18 I. Babuška, G. Caloz, J.E. Osborn: Special finite element methods for a class of second order elliptic problems with rough coefficients, SIAM J Numerical Analysis, 31, 945–981, 1994.
19 F.B. Barros, S.P.B. Proença, C.S. de Barcellos: On error estimator and p-adaptivity in the generalized finite element method, Internat. J. Numer. Methods Engrg., 60, 2373–2398, 2004.
20 F.B. Barros, S.P.B. Proença, C.S. de Barcellos: Generalized finite element method in structural nonlinear analysis-a p-adaptive strategy, Comput. Mech., 33, 95–107, 2004.
21 E. Béchet, H. Minnebo, N. Moës, B. Burgardt: Improved implementation and robustness study of the X-FEM for stress analysis around cracks, Internat. J. Numer. Methods Engrg., 64, 1033–1056, 2005.
22 T. Belytschko, T. Black: Elastic crack growth in finite elements with minimal remeshing, Internat. J. Numer. Methods Engrg., 45, 601–620, 1999.
23 T. Belytschko, N. Moës, S. Usui, C. Parimi: Arbitrary discontinuities in finite elements, Internat. J. Numer. Methods Engrg., 50, 993–1013, 2001.
24 T. Belytschko, H. Chen, J. Xu, G. Zi: Dynamic crack propagation based on loss of hyperbolicity and a new discontinuous enrichment, Internat. J. Numer. Methods Engrg., 58, 1873–1905, 2003.
25 T. Belytschko, C. Parimi, N. Moës, N. Sukumar, S. Usui: Structured extended finite element methods for solids defined by implicit surfaces, Internat. J. Numer. Methods Engrg., 56, 609–635, 2003.
26 T. Belytschko, R. Gracie: On XFEM applications to dislocations and interfaces, Int. J. Plast., 23, 1721–1738, 2007.
27 T. Belytschko, S. Loehnert, J.H. Song: Multiscale aggregating discontinuities: A method for circumventing loss of material stability, Internat. J. Numer. Methods Engrg., 73, 869–894, 2008.
28 D.J. Benson, S. Okazawa: Contact in a multi-material Eulerian finite element formulation, Comp. Methods Appl. Mech. Engrg., 193, 4277–4298, 2004.
29 E. Benvenuti, A. Tralli, G. Ventura: A regularized XFEM model for the transition from continuous to discontinuous displacements, Internat. J. Numer. Methods Engrg., 74, 911–944, 2008.
30 E. Benvenuti: A regularized XFEM framework for embedded cohesive interfaces, Comp. Methods Appl. Mech. Engrg., 197, 4367–4378, 2008.
31 D. Bielser, P. Glardon, M. Teschner, M. Gross: A state machine for real-time cutting of tetrahedral meshes, Graphical Models, 66, 398–417, 2004.
32 S. Bordas, B. Moran: Enriched finite elements and level sets for damage tolerance assessment of complex structures, Eng. Fract. Mech., 73, 1176–1201, 2006.
33 S.P.A. Bordas, J.G. Conley, B. Moran, J. Gray, E. Nichols: A simulation-based design paradigm for complex cast components, Eng. with Comp., 23, 25–37, 2007.
34 S. Bordas, P.V. Nguyen, C. Dunant, A. Guidoum, H. Nguyen-Dang: An extended finite element library, Internat. J. Numer. Methods Engrg., 71, 703–732, 2007.
35 S. Bordas, M. Duflot, P. Le: A simple error estimator for extended finite elements, Commun. Numer. Meth. Engrg., 24, 961–971, 2007.
36 S. Bordas, M. Duflot: Derivative recovery and a posteriori error estimate for extended finite elements, Comp. Methods Appl. Mech. Engrg., 196, 3381–3399, 2007.
37 R.I. Borja: Assumed enhanced strain and the extended finite element methods: a unification of concepts, Comp. Methods Appl. Mech. Engrg., 197, 2789–2803, 2008.
38 R. de Borst, M.A. Gutiérrez, G.N. Wells, J.J.C. Remmers, H. Askes: Cohesive-zone models, higher-order continuum theories and reliability methods for computational failure analysis, Internat. J. Numer. Methods Engrg., 60, 289–315, 2004.
39 P.O. Bouchard, F. Bay, Y. Chastel: Numerical modelling of crack propagation: automatic remeshing and comparison of different criteria, Comp. Methods Appl. Mech. Engrg., 192, 3887–3908, 2003.
40 C.D. Bruyns, S. Senger, A. Menon, K. Montgomery, S. Wildermuth, R. Boyle: A survey of interactive mesh-cutting techniques and a new method for implementing generalized interactive mesh cutting using virtual tools, J. Visual. Comput. Animat, 13, 21–42, 2002.
41 É. Budyn, G. Zi, N. Moës, T. Belytschko: A method for multiple crack growth in brittle materials without remeshing, Internat. J. Numer. Methods Engrg., 61, 1741–1770, 2004.
42 E. Chahine, P. Laborde, Y. Renard: Crack tip enrichment in the XFEM using a cutoff function, Internat. J. Numer. Methods Engrg., 75, 629–646, 2008.
43 J. Chessa, P. Smolinski, T. Belytschko: The extended finite element method (XFEM) for solidification problems, Internat. J. Numer. Methods Engrg., 53, 1959–1977, 2002.
44 J. Chessa, H. Wang, T. Belytschko: On the construction of blending elements for local partition of unity enriched finite elements, Internat. J. Numer. Methods Engrg., 57, 1015–1038, 2003.
45 J. Chessa, T. Belytschko: An extended finite element method for two-phase fluids, ASME J. Appl. Mech., 70, 10–17, 2003.
46 J. Chessa, T. Belytschko: An enriched finite element method and level sets for axisymmetric two-phase flow with surface tension, Internat. J. Numer. Methods Engrg., 58, 2041–2064, 2003.
47 J. Chessa, T. Belytschko: Arbitrary discontinuities in space-time finite elements by level-sets and X-FEM, Internat. J. Numer. Methods Engrg., 61, 2595–2614, 2004.
48 J. Chessa, T. Belytschko: A local space-time discontinuous finite element method, Comp. Methods Appl. Mech. Engrg., 195, 1325–1343, 2006.
49 Y.S. Cho, S. Jun, S. Im, H.G. Kim: An improved interface element with variable nodes for non-matching finite element meshes, Comp. Methods Appl. Mech. Engrg., 194, 3022–3046, 2005.
50 Y.S. Cho, S. Im: MLS-based variable-node elements compatible with quadratic interpolation. Part I: Formulation and application for non-matching meshes, Internat. J. Numer. Methods Engrg., 65, 494–516, 2006.
51 Y.S. Cho, S. Im: MLS-based variable-node elements compatible with quadratic interpolation. Part II: Application for finite crack element, Internat. J. Numer. Methods Engrg., 65, 517–547, 2006.
52 D.L. Chopp: Some improvements of the fast marching method, SIAM J. Sci. Comput., 23, 230–244, 2001.
53 D.L. Chopp, N. Sukumar: Fatigue crack propagation of multiple coplanar cracks with the coupled extended finite element/fast marching method, Int. J. Engrg. Sci., 41, 845–869, 2003.
54 F. Cirak, R. Deiterding, S.P. Mauch: Large-scale fluid-structure interaction simulation of viscoplastic and fracturing thin-shells subjected to shocks and detonations, Computers & Structures, 85, 1049–1065, 2007.
55 C. Comi, S. Mariani: Extended finite element simulation of quasi-brittle fracture in functionally graded materials, Comp. Methods Appl. Mech. Engrg., 196, 4013–4026, 2007.
56 S. Cotin, H. Delingette, N. Ayache: A hybrid elastic model allowing real-time cutting, deformations and force-feedback for surgery training and simulation, The Visual Computer, 16, 437–452, 2000.
57 J.V. Cox: An extended finite element method with analytical enrichment for cohesive crack modeling, Internat. J. Numer. Methods Engrg., DOI: 10.1002/nme.2475, 2009.
58 C. Daux, N. Moës, J. Dolbow, N. Sukumar, T. Belytschko: Arbitrary branched and intersecting cracks with the extended finite element method, Internat. J. Numer. Methods Engrg., 48, 1741–1760, 2000.
59 J. Dolbow, N. Moës, T. Belytschko: Modeling fracture in Mindlin-Reissner plates with the extended finite element method, J. Solids Struct., 37, 7161–7183, 2000.
60 J. Dolbow, N. Moës, T. Belytschko: Discontinuous enrichment in finite elements with a partition of unity method, Finite Elem. Anal. Des., 36, 235–260, 2000.
61 J. Dolbow, N. Moës, T. Belytschko: An extended finite element method for modeling crack growth with frictional contact, Comp. Methods Appl. Mech. Engrg., 190, 6825–6846, 2001.
62 J.E. Dolbow, A. Devan: Enrichment of enhanced assumed strain approximations for representing strong discontinuities: addressing volumetric incompressibility and the discontinuous patch test, Internat. J. Numer. Methods Engrg., 59, 47–67, 2004.
63 J. Dolbow, S. Mosso, J. Robbins, T. Voth: Coupling volume-of-fluid based interface reconstructions with the extended finite element method, Comp. Methods Appl. Mech. Engrg., 197, 439–447, 2008.
64 J. Dolbow, I. Harari: An efficient finite element method for embedded interface problems, Internat. J. Numer. Methods Engrg., DOI: 10.1002/nme.2486, 2009.
65 J.E. Dolbow, L.P. Franca: Residual-free bubbles for embedded Dirichlet problems, Comp. Methods Appl. Mech. Engrg., 197, 3751–3759, 2008.
66 C.A. Duarte, O.N. Hamzeh, T.J. Liszka, W.W. Tworzydlo: A generalized finite element method for the simulation of three-dimensional dynamic crack propagation, Comp. Methods Appl. Mech. Engrg., 190, 2227–2262, 2001.
67 C.A. Duarte, D.J. Kim: Analysis and applications of a generalized finite element method with global-local enrichment functions, Comp. Methods Appl. Mech. Engrg., 197, 487–504, 2008.
68 C.A. Duarte, L.G. Reno, A. Simone: A high-order generalized FEM for through-the-thickness branched cracks, Internat. J. Numer. Methods Engrg., 72, 325–351, 2007.
69 C.A. Duarte, I. Babuška, J.T. Oden: Generalized finite element methods for three-dimensional structural mechanics problems, Computers & Structures, 77, 215–232, 2000.
70 C.A. Duarte, T.J. Liszka, W.W. Tworzydlo: Clustered generalized finite element methods for mesh unrefinement, non-matching and invalid meshes, Internat. J. Numer. Methods Engrg., 69, 2409–2440, 2007.
71 C. A. Duarte, I. Babuška: Mesh-independent p-orthotropic enrichment using the generalized finite element method, Internat. J. Numer. Methods Engrg., 55, 1477–1492, 2002.
72 C.A. Duarte, D.J. Kim, D.M. Quaresma: Arbitrarily smooth generalized finite element approximations, Comp. Methods Appl. Mech. Engrg., 196, 33–56, 2006.
73 C.A.M. Duarte, J.T. Oden: H-p clouds -- an h-p meshless method, Numer. Methods Partial Differential Equations, 12, 673–705, 1996.
74 C.A. Duarte, J.T. Oden: An h-p adaptive method using clouds, Comp. Methods Appl. Mech. Engrg., 139, 237–262, 1996.
75 R. Duddu, S. Bordas, D. Chopp, B. Moran: A combined extended finite element and level set method for biofilm growth, Internat. J. Numer. Methods Engrg., 74, 848–870, 2008.
76 M. Duflot: The extended finite element method in thermoelastic fracture mechanics, Internat. J. Numer. Methods Engrg., 74, 827–847, 2008.
77 M. Duflot: A study of the representation of cracks with level-sets, Internat. J. Numer. Methods Engrg., 70, 1261–1302, 2007.
78 M. Duflot, S. Bordas: A posteriori error estimation for extended finite elements by an extended global recovery, Internat. J. Numer. Methods Engrg., 76, 1123–1138, 2008.
79 T. Elguedj, A. Gravouil, A. Combescure: Appropriate extended functions for X-FEM simulation of plastic fracture mechanics, Comp. Methods Appl. Mech. Engrg., 195, 501–515, 2006.
80 M. Fagerström, R. Larsson: Theory and numerics for finite deformation fracture modelling using strong discontinuities, Internat. J. Numer. Methods Engrg., 66, 911–948, 2006.
81 C. Farhat, I. Harari, U. Hetmaniuk: The discontinuous enrichment method for multiscale analysis, Comp. Methods Appl. Mech. Engrg., 192, 3195–3209, 2003.
82 M. Fleming, Y.A. Chu, B. Moran, T. Belytschko: Enriched element-free Galerkin methods for crack tip fields, Internat. J. Numer. Methods Engrg., 40, 1483–1504, 1997.
83 T.P. Fries, T. Belytschko: The Intrinsic XFEM: A Method for Arbitrary Discontinuities without Additional Unknowns, Internat. J. Numer. Methods Engrg., 68, 1358–1385, 2006.
84 T.P. Fries, T. Belytschko: The intrinsic partition of unity method, Comput. Mech., 40, 803–814, 2007.
85 T.P. Fries: A corrected XFEM approximation without problems in blending elements, Internat. J. Numer. Methods Engrg., 75, 503–532, 2008.
86 T.P. Fries: The intrinsic XFEM for two-fluid flows, Int. J. Numer. Methods Fluids, DOI: 10.1002/fld.1901, 2008.
87 T.P. Fries, A. Zilian: On time integration in the XFEM, Internat. J. Numer. Methods Engrg., DOI: 10.1002/nme.2558, 2009.
88 O. Garcia, E.A. Fancello, C.S. de Barcellos, C.A. Duarte: hp-Clouds in Mindlin’s Thick Plate Model, Internat. J. Numer. Methods Engrg., 47, 1381–1400, 2000.
89 A. Gerstenberger, W.A. Wall: An eXtended finite element method/Lagrange multiplier based approach for fluid-structure interaction, Comp. Methods Appl. Mech. Engrg., 197, 1699–1714, 2008.
90 A. Gerstenberger, W.A. Wall: Enhancement of fixed-grid methods towards complex fluid-structure interaction applications, Int. J. Numer. Methods Fluids, 57, 1227–1248, 2008.
91 R. Gracie, H. Wang, T. Belytschko: Blending in the extended finite element method by discontinuous Galerkin and assumed strain methods, Internat. J. Numer. Methods Engrg., 74, 1645–1669, 2008.
92 R. Gracie, T. Belytschko: Concurrently coupled atomistic and XFEM models for dislocations and cracks, Internat. J. Numer. Methods Engrg., 78, 354–378, 2009.
93 R. Gracie, G. Ventura, T. Belytschko: A new fast finite element method for dislocations based on interior discontinuities, Internat. J. Numer. Methods Engrg., 69, 423–441, 2007.
94 A. Gravouil, N. Moës, T. Belytschko : Non-planar 3D crack growth by the extended finite element and level sets, part II: level set update, Internat. J. Numer. Methods Engrg., 53, 2569–2586, 2002.
95 S. Groß, A. Reusken: An extended pressure finite element space for two-phase incompressible flows with surface tension, J. Comput. Phys., 224, 40–58, 2007.
96 M.N. Guddati, B. Yue: Modified integration rules for reducing dispersion error in finite element methods, Comp. Methods Appl. Mech. Engrg., 193, 275–287, 2004.
97 P.A. Guidault, O. Allix, L. Champaney, C. Cornuault: A multiscale extended finite element method for crack propagation, Comp. Methods Appl. Mech. Engrg., 197, 381–399, 2008.
98 P.A. Guidault, O. Allix, L. Champaney, J.P. Navarro: A two-scale approach with homogenization for the computation of cracked structures, Computers & Structures, 85, 1360–1371, 2007.
99 E. Gürses, C. Miehe: A computational framework of three-dimensional configurational-force-driven brittle crack propagation, Comp. Methods Appl. Mech. Engrg., 198, 1413–1428, 2009.
100 A. Hansbo, P. Hansbo: An unfitted finite element method, based on Nitsche’s method, for elliptic interface problems, Comp. Methods Appl. Mech. Engrg., 191, 5537–5552, 2002.
101 A. Hansbo, P. Hansbo: A finite element method for the simulation of strong and weak discontinuities in solid mechanics, Comp. Methods Appl. Mech. Engrg., 193, 3523–3540, 2004.
102 L. Hazard, P. Bouillard: Structural dynamics of viscoelastic sandwich plates by the partition of unity finite element method, Comp. Methods Appl. Mech. Engrg., 196, 4101–4116, 2007.
103 T. Hettich, E. Ramm: Interface material failure modeled by the extended finite-element method and level sets, Comp. Methods Appl. Mech. Engrg., 195, 4753–4767, 2006.
104 T. Hettich, A. Hund, E. Ramm: Modeling of failure in composites by X-FEM and level sets within a multiscale framework, Comp. Methods Appl. Mech. Engrg., 197, 414–424, 2008.
105 P.R. Heyliger, R.D. Kriz: Stress intensity factors by enriched mixed finite elements, Internat. J. Numer. Methods Engrg., 28, 1461–1473, 1989.
106 D.J. Holdych, D.R. Noble, R.B. Secor: Quadrature rules for triangular and tetrahedral elements with generalized functions, Internat. J. Numer. Methods Engrg., 73, 1310–1327, 2008.
107 S. Hou, X.D. Liu: A numerical method for solving variable coefficient elliptic equation with interfaces, J. Comput. Phys., 202, 411–445, 2005.
108 R. Huang, N. Sukumar, J.H. Prévost: Modeling quasi-static crack growth with the extended finite element method, part II: numerical applications, J. Solids Struct., 40, 7539–7552, 2003.
109 R. Huang, J.H. Prévost, Z.Y. Huang, Z. Suo: Channel-cracking of thin films with the extended finite element method, Eng. Fract. Mech., 70, 2513–2526, 2003.
110 D.B.P. Huynh, T. Belytschko: The extended finite element method for fracture in composite materials, Internat. J. Numer. Methods Engrg., 77, 214–239, 2009.
111 S. Hysing: A new implicit surface tension implementation for interfacial flows, Int. J. Numer. Methods Fluids, 51, 659–672, 2005.
112 E.V. Iarve: Mesh independent modelling of cracks by using higher order shape functions, Internat. J. Numer. Methods Engrg., 56, 869–882, 2003.
113 T. Ishii, K. Terada, T. Kyoya: Failure analysis of quasi-brittle materials involving multiple mechanisms on fractured surfaces, Internat. J. Numer. Methods Engrg., 67, 960–988, 2006.
114 H. Ji, D. Chopp, J.E. Dolbow: A hybrid extended finite element/level set method for modeling phase transformations, Internat. J. Numer. Methods Engrg., 54, 1209–1233, 2002.
115 H. Ji, J.E. Dolbow: On strategies for enforcing interfacial constraints and evaluating jump conditions with the extended finite element method, Internat. J. Numer. Methods Engrg., 61, 2508–2535, 2004.
116 X. Jin, G. Li, N.R. Aluru: New approximations and collocation schemes in the finite cloud method, Computers & Structures, 83, 1366–1385, 2005.
117 B.L. Karihaloo, Q.Z. Xiao: Modelling of stationary and growing cracks in FE framework without remeshing: a state-of-the-art review, Computers & Structures, 81, 119–129, 2003.
118 A.R. Khoei, S.O.R. Biabanaki, M. Anahid: Extended finite element method for three-dimensional large plasticity deformations on arbitrary interfaces, Comp. Methods Appl. Mech. Engrg., 197, 1100–1114, 2008.
119 T.Y. Kim, J. Dolbow, T. Laursen: A mortared finite element method for frictional contact on arbitrary interfaces, Comput. Mech., 39, 223–235, 2007.
120 J. Korsawe, G. Starke, W. Wang, O. Kolditz: Finite element analysis of poro-elastic consolidation in porous media: Standard and mixed approaches, Comp. Methods Appl. Mech. Engrg., 195, 1096–1115, 2006.
121 P. Laborde, J. Pommier, Y. Renard, M. Salaün: High-order extended finite element method for cracked domains, Internat. J. Numer. Methods Engrg., 64, 354–381, 2005.
122 R. Larsson, M. Fagerström: A framework for fracture modelling based on the material forces concept with XFEM kinematics, Internat. J. Numer. Methods Engrg., 62, 1763–1788, 2005.
123 S.H. Lee, J.H. Song, Y.C. Yoon, G. Zi, T. Belytschko: Combined extended and superimposed finite element method for cracks, Internat. J. Numer. Methods Engrg., 59, 1119–1136, 2004.
124 A. Legay, H.W. Wang, T. Belytschko: Strong and weak arbitrary discontinuities in spectral finite elements, Internat. J. Numer. Methods Engrg., 64, 991–1008, 2005.
125 A. Legay, J. Chessa, T. Belytschko: An Eulerian-Lagrangian method for fluid-structure interaction based on level sets, Comp. Methods Appl. Mech. Engrg., 195, 2070–2087, 2006.
126 G. Legrain, N. Moës, E. Verron: Stress analysis around crack tips in finite strain problems using the eXtended finite element method, Internat. J. Numer. Methods Engrg., 63, 290–314, 2005.
127 G. Legrain, N. Moës, A. Huerta: Stability of incompressible formulations enriched with X-FEM, Comp. Methods Appl. Mech. Engrg., 197, 1835–1849, 2008.
128 G. Legrain, N. Moës, E. Verron: Robust and direct evaluation of J2 in linear elastic fracture mechanics with the X-FEM, Internat. J. Numer. Methods Engrg., 76, 1471–1488, 2008.
129 A.J. Lew, G.C. Buscaglia: A discontinuous-Galerkin-based immersed boundary method, Internat. J. Numer. Methods Engrg., 76, 427–454, 2008.
130 S. Li, S. Ghosh: Extended Voronoi cell finite element model for multiple cohesive crack propagation in brittle materials, Internat. J. Numer. Methods Engrg., 65, 1028–1067, 2006.
131 J. Liang, R. Huang, J.H. Prévost, Z. Suo: Evolving crack patterns in thin films with the extended finite element method, J. Solids Struct., 40, 2343–2354, 2003.
132 T.J. Liszka, C.A.M. Duarte, W.W. Tworzydlo: hp-meshless cloud method, Comp. Methods Appl. Mech. Engrg., 139, 263–288, 1996.
133 X.Y. Liu, Q.Z. Xiao, B.L. Karihaloo: XFEM for direct evaluation of mixed mode SIFs in homogeneous and bi-materials, Internat. J. Numer. Methods Engrg., 59, 1103–1118, 2004.
134 F. Liu, R.I. Borja: A contact algorithm for frictional crack propagation with the extended finite element method, Internat. J. Numer. Methods Engrg., 76, 1489–1512, 2008.
135 S. Loehnert, T. Belytschko: A multiscale projection method for macro/microcrack simulations, Internat. J. Numer. Methods Engrg., 71, 1466–1482, 2007.
136 S. Mariani, U. Perego: Extended finite element method for quasi-brittle fracture, Internat. J. Numer. Methods Engrg., 58, 103–126, 2003.
137 P.M. Mariano, F.L. Stazi: Strain localization due to crack-microcrack interactions: X-FEM for a multifield approach, Comp. Methods Appl. Mech. Engrg., 193, 5035–5062, 2004.
138 J.M. Melenk, I. Babuška: The partition of unity finite element method: basic theory and applications, Comp. Methods Appl. Mech. Engrg., 139, 289–314, 1996.
139 S. Fernández-Méndez, A. Huerta: Imposing essential boundary conditions in mesh-free methods, Comp. Methods Appl. Mech. Engrg., 193, 1257–1275, 2004.
140 T. Menouillard, J. Réthoré, A. Combescure, H. Bung: Efficient explicit time stepping for the eXtended finite element method (X-FEM), Internat. J. Numer. Methods Engrg., 68, 911–939, 2006.
141 T. Menouillard, J. Réthoré, N. Moës, A. Combescure, H. Bung: Mass lumping strategies for X-FEM explicit dynamics: Application to crack propagation, Internat. J. Numer. Methods Engrg., 74, 447–474, 2008.
142 J. Mergheim, E. Kuhl, P. Steinmann: A finite element method for the computational modelling of cohesive cracks, Internat. J. Numer. Methods Engrg., 63, 276–289, 2005.
143 J. Mergheim, P. Steinmann: A geometrically nonlinear FE approach for the simulation of strong and weak discontinuities, Comp. Methods Appl. Mech. Engrg., 195, 5037–5052, 2006.
144 J. Mergheim, E. Kuhl, P. Steinmann: A hybrid discontinuous Galerkin/interface method for the computational modeling of failure, Commun. Numer. Meth. Engrg., 20, 511–519, 2004.
145 R. Merle, J. Dolbow: Solving thermal and phase change problems with the eXtended finite element method, Comput. Mech., 28, 339–350, 2002.
146 G. Meschke, P. Dumstorff: Energy-based modeling of cohesive and cohesionless cracks via X-FEM, Comp. Methods Appl. Mech. Engrg., 196, 2338–2357, 2007.
147 N. Moës, J. Dolbow, T. Belytschko: A finite element method for crack growth without remeshing, Internat. J. Numer. Methods Engrg., 46, 131–150, 1999.
148 N. Moës, T. Belytschko: Extended finite element method for cohesive crack growth, Eng. Fract. Mech., 69, 813–833, 2002.
149 N. Moës , A. Gravouil, T. Belytschko : Non-planar 3D crack growth by the extended finite element and level sets, part I: mechanical model, Internat. J. Numer. Methods Engrg., 53, 2549–2568, 2002.
150 N. Moës, M. Cloirec, P. Cartraud, J.F. Remacle: A computational approach to handle complex microstructure geometries, Comp. Methods Appl. Mech. Engrg., 192, 3163–3177, 2003.
151 N. Moës, E. Béchet, M. Tourbier: Imposing Dirichlet boundary conditions in the extended finite element method, Internat. J. Numer. Methods Engrg., 67, 1641–1669, 2006.
152 B. Mohammadi, O. Pironneau, F. Valentin: Rough boundaries and wall laws, Int. J. Numer. Methods Fluids, 27, 169–177, 1998.
153 H.M. Mourad, J. Dolbow, I. Harari: A bubble-stabilized finite element method for Dirichlet constraints on embedded interfaces, Internat. J. Numer. Methods Engrg., 69, 772–793, 2007.
154 S. Nakasumi, K. Suzuki, H. Ohtsubo: Crack growth analysis using mesh superposition technique and X-FEM, Internat. J. Numer. Methods Engrg., 75, 291–304, 2008.
155 A. Nesliturk, I. Harari: The nearly-optimal Petrov-Galerkin method for convection-diffusion problems, Comp. Methods Appl. Mech. Engrg., 192, 2501–2519, 2003.
156 H. Nguyen-Xuan, T. Rabczuk, S. Bordas, J.F. Debongnie: A smoothed finite element method for plate analysis, Comp. Methods Appl. Mech. Engrg., 197, 1184–1203, 2008.
157 I. Nistor, O. Pantalé, S. Caperaa: Numerical implementation of the eXtended finite element method for dynamic crack analysis, Adv. Eng. Softw, 39, 573–587, 2008.
158 P. O’Hara, C.A. Duarte, T. Eason: Generalized finite element analysis of three-dimensional heat transfer problems exhibiting sharp thermal gradients, Comp. Methods Appl. Mech. Engrg., DOI: 10.1016/j.cma.2008.12.024, 2009.
159 J.T. Oden, C.A.M. Duarte, O.C. Zienkiewicz: A new cloud-based hp finite element method, Comp. Methods Appl. Mech. Engrg., 153, 117–126, 1998.
160 H.S. Oh, J.G. Kim, W.T. Hong: The piecewise polynomial partition of unity functions for the generalized finite element methods, Comp. Methods Appl. Mech. Engrg., 197, 3702–3711, 2008.
161 J. Oliver, A.E. Huespe, P.J. Sánchez: A comparative study on finite elements for capturing strong discontinuities: E-FEM vs X-FEM, Comp. Methods Appl. Mech. Engrg., 195, 4732–4752, 2006.
162 E. Olsson, G. Kreiss: A conservative level set method for two phase flow, J. Comput. Phys., 210, 225–246, 2005.
163 E. Olsson, G. Kreiss, S. Zahedi: A conservative level set method for two phase flow II, J. Comput. Phys., 225, 785–807, 2007.
164 S. Osher, R.P. Fedkiw: Level set methods: an overview and some recent results, J. Comput. Phys., 169, 463–502, 2001.
165 J. Oswald, R. Gracie, R. Khare, T. Belytschko: An extended finite element method for dislocations in complex geometries: Thin films and nanotubes, Comp. Methods Appl. Mech. Engrg., DOI: 10.1016/j.cma.2008.12.025, 2009.
166 T. Pannachet, L.J. Sluys, H. Askes: Error estimation and adaptivity for discontinuous failure, Internat. J. Numer. Methods Engrg., DOI: 10.1002/nme.2495, 2009.
167 K. Park, J.P. Pereira, C.A. Duarte, G.H. Paulino: Integration of singular enrichment functions in the generalized/extended finite element method for three-dimensional problems, Internat. J. Numer. Methods Engrg., DOI: 10.1002/nme.2530, 2009.
168 B. Patzák, M. Jirásek: Process zone resolution by extended finite elements, Eng. Fract. Mech., 70, 957–977, 2003.
169 A. Peirce, E. Detournay: An implicit level set method for modeling hydraulically driven fractures, Comp. Methods Appl. Mech. Engrg., 197, 2858–2885, 2008.
170 D. Peng, B. Merriman, S. Osher, H. Zhao, M. Kang: A PDE-based fast local level set method, J. Comput. Phys., 155, 410–438, 1999.
171 J.P. Pereira, C.A. Duarte, D. Guoy, X. Jiao: hp-Generalized FEM and crack surface representation for non-planar 3-D cracks, Internat. J. Numer. Methods Engrg., 77, 601–633, 2009.
172 S.P. van der Pijl, A. Segal, C. Vuik, P. Wesseling: A mass-conserving level-set method for modelling of multi-phase flows, Int. J. Numer. Methods Fluids, 47, 339–361, 2005.
173 B. Prabel, A. Combescure, A. Gravouil, S. Marie: Level set X-FEM non-matching meshes: application to dynamic crack propagation in elastic-plastic media, Internat. J. Numer. Methods Engrg., 69, 1553–1569, 2007.
174 T. Rabczuk, G. Zi, A. Gerstenberger, W.A. Wall: A new crack tip element for the phantom-node method with arbitrary cohesive cracks, Internat. J. Numer. Methods Engrg., 75, 577–599, 2008.
175 T. Rabczuk, T. Belytschko: A three-dimensional large deformation meshfree method for arbitrary evolving cracks, Comp. Methods Appl. Mech. Engrg., 196, 2777–2799, 2007.
176 D. Rabinovich, D. Givoli, S. Vigdergauz: XFEM-based crack detection scheme using a genetic algorithm, Internat. J. Numer. Methods Engrg., 71, 1051–1080, 2007.
177 D. Rabinovich, D. Givoli, S. Vigdergauz: Crack identification by ‘arrival time’ using XFEM and a genetic algorithm, Internat. J. Numer. Methods Engrg., 77, 337–359, 2009.
178 S. Rajendran, B.R. Zhang: A “FE-meshfree” QUAD4 element based on partition of unity, Comp. Methods Appl. Mech. Engrg., 197, 128–147, 2007.
179 N. Ramanan, M.S. Engelman: An algorithm for simulation of steady free surface flows, Int. J. Numer. Methods Fluids, 22, 103–120, 1996.
180 M.M. Rashid, P.M. Gullett: On a finite element method with variable element topology, Comp. Methods Appl. Mech. Engrg., 190, 1509–1527, 2000.
181 J. Réthoré, A. Gravouil, A. Combescure: A combined space-time extended finite element method, Internat. J. Numer. Methods Engrg., 64, 260–284, 2005.
182 J. Réthoré, A. Gravouil, A. Combescure: An energy-conserving scheme for dynamic crack growth using the eXtended finite element method, Internat. J. Numer. Methods Engrg., 63, 631–659, 2005.
183 J. Réthoré, F. Hild, S. Roux: Extended digital image correlation with crack shape optimization, Internat. J. Numer. Methods Engrg., 73, 248–272, 2008.
184 J. Réthoré, F. Hild, S. Roux: Shear-band capturing using a multiscale extended digital image correlation technique, Comp. Methods Appl. Mech. Engrg., 196, 5016–5030, 2007.
185 C. Riker, S.M. Holzer: The mixed-cell-complex partition-of-unity method, Comp. Methods Appl. Mech. Engrg., 198, 1235–1248, 2009.
186 J.J. Ródenas, O.A. González-Estrada, J.E. Tarancón, F.J. Fuenmayor: A recovery-type error estimator for the extended finite element method based on singular+smooth stress field splitting, Internat. J. Numer. Methods Engrg., 76, 545–571, 2008.
187 P. Rozycki, N. Moës, E. Béchet, C. Dubois: X-FEM explicit dynamics for constant strain elements to alleviate mesh constraints on internal or external boundaries, Comp. Methods Appl. Mech. Engrg., 197, 349–363, 2008.
188 G. Russo, P. Smereka: A Remark on Computing Distance Functions, J. Comput. Phys., 163, 51–67, 2000.
189 E. Samaniego, T. Belytschko: Continuum-discontinuum modelling of shear bands, Internat. J. Numer. Methods Engrg., 62, 1857–1872, 2005.
190 J.A. Sethian: Fast marching methods, SIAM Review, 41, 199–235, 1999.
191 J.A. Sethian: Evolution, implementation and application of level set and fast marching methods for advancing fronts, J. Comput. Phys., 169, 503–555, 2001.
192 J.A. Sethian: A Fast Marching Level Set Method for Monotonically Advancing Fronts, Proc. Nat. Acad. Sci., 93, 1591–1595, 1996.
193 A. Simone, C.A. Duarte, E. Van der Giessen: A generalized finite element method for polycrystals with discontinuous grain boundaries, Internat. J. Numer. Methods Engrg., 67, 1122–1145, 2006.
194 A. Simone: Partition of unity-based discontinuous elements for interface phenomena: Computational issues, Commun. Numer. Meth. Engrg., 20, 465–478, 2004.
195 A. Simone, L.J. Sluys: The use of displacement discontinuities in a rate-dependent medium, Comp. Methods Appl. Mech. Engrg., 193, 3015–3033, 2004.
196 A. Simone, G.N. Wells, L.J. Sluys: From continuous to discontinuous failure in a gradient-enhanced continuum damage model, Comp. Methods Appl. Mech. Engrg., 192, 4581–4607, 2003.
197 B.G. Smith, B.L. Vaughan Jr., D.L. Chopp: The extended finite element method for boundary layer problems in biofilm growth, Comm. App. Math. and Comp. Sci., 2, 35–56, 2007.
198 K.R. Srinivasan, K. Matouš, P.H. Geubelle: Generalized finite element method for modeling nearly incompressible bimaterial hyperelastic solids, Comp. Methods Appl. Mech. Engrg., 197, 4882–4893, 2008.
199 F.L. Stazi, E. Budyn, J. Chessa, T. Belytschko: An extended finite element method with higher-order elements for curved cracks, Comput. Mech., 31, 38–48, 2003.
200 M. Stolarska, D.L. Chopp, N. Moës, T. Belytschko: Modelling crack growth by level sets in the extended finite element method, Internat. J. Numer. Methods Engrg., 51, 943–960, 2001.
201 M. Stolarska, D.L. Chopp: Modeling thermal fatigue cracking in integrated circuits by level sets and the extended finite element method, Int. J. Engrg. Sci., 41, 2381–2410, 2003.
202 J. Strain: Fast Tree-Based Redistancing for Level Set Computations, J. Comput. Phys., 152, 664–686, 1999.
203 T. Strouboulis, K. Copps, I. Babuška: The generalized finite element method: an example of its implementation and illustration of its performance, Internat. J. Numer. Methods Engrg., 47, 1401–1417, 2000.
204 T. Strouboulis, I. Babuška, R. Hidajat: The generalized finite element method for Helmholtz equation: theory, computation, and open problems, Comp. Methods Appl. Mech. Engrg., 195, 4711–4731, 2006.
205 T. Strouboulis, R. Hidajat, I. Babuška: The generalized finite element method for Helmholtz equation, part II: effect of choice of handbook functions, error due to absorbing boundary conditions and its assessment, Comp. Methods Appl. Mech. Engrg., 197, 364–380, 2008.
206 T. Strouboulis, L. Zhang, I. Babuška: p-version of the generalized FEM using mesh-based handbooks with applications to multiscale problems, Internat. J. Numer. Methods Engrg., 60, 1639–1672, 2004.
207 T. Strouboulis, L. Zhang, I. Babuška: Assessment of the cost and accuracy of the generalized FEM, Internat. J. Numer. Methods Engrg., 69, 250–283, 2007.
208 T. Strouboulis, L. Zhang, D. Wang, I. Babuška: A posteriori error estimation for generalized finite element methods, Comp. Methods Appl. Mech. Engrg., 195, 852–879, 2006.
209 T. Strouboulis, L. Zhang, I. Babuška: Generalized finite element method using mesh-based handbooks: application to problems in domains with many voids, Comp. Methods Appl. Mech. Engrg., 192, 3109–3161, 2003.
210 T. Strouboulis, K. Copps, I. Babuška: The Generalized Finite Element Method, Comp. Methods Appl. Mech. Engrg., 190, 4081–4193, 2001.
211 N. Sukumar, N. Moës, B. Moran, T. Belytschko: Extended finite element method for three-dimensional crack modelling, Internat. J. Numer. Methods Engrg., 48, 1549–1570, 2000.
212 N. Sukumar, D.L. Chopp, N. Moës, T. Belytschko: Modeling holes and inclusions by level sets in the extended finite-element method, Comp. Methods Appl. Mech. Engrg., 190, 6183–6200, 2001.
213 N. Sukumar, D.L. Chopp, B. Moran: Extended finite element method and fast marching method for three-dimensional fatigue crack propagation, Eng. Fract. Mech., 70, 29–48, 2003.
214 N. Sukumar, D.J. Srolovitz, T.J. Baker, J.H. Prévost: Brittle fracture in polycrystalline microstructures with the extended finite element method, Internat. J. Numer. Methods Engrg., 56, 2015–2037, 2003.
215 N. Sukumar, J.H. Prévost: Modeling quasi-static crack growth with the extended finite element method, part I: computer implementation, J. Solids Struct., 40, 7513–7537, 2003.
216 N. Sukumar, Z.Y. Huang, J.H. Prévost, Z. Suo: Partition of unity enrichment for bimaterial interface cracks, Internat. J. Numer. Methods Engrg., 59, 1075–1102, 2004.
217 N. Sukumar, D.L. Chopp, E. Béchet, N. Moës: Three-dimensional non-planar crack growth by a coupled extended finite element and fast marching method, Internat. J. Numer. Methods Engrg., 76, 727–748, 2008.
218 X.S. Sun, V.B.C. Tan, G. Liu, T.E. Tay: An enriched element-failure method (REFM) for delamination analysis of composite structures, Internat. J. Numer. Methods Engrg., DOI: 10.1002/nme.2567, 2009.
219 M. Sussman, P. Smereka, S. Osher: A level set approach for computing solutions to incompressible two-phase flow, J. Comput. Phys., 114, 146–159, 1994.
220 M. Sussman, E. Fatemi: An efficient interface-preserving level set redistancing algorithm and its application to interfacial incompressible fluid flow, SIAM J. Sci. Comput., 20, 1165–1191, 1999.
221 M. Sussmann, E. Fatemi, P. Smereka, S. Osher: An Improved Level Set Method for Incompressible Two-Phase Flows, Computers and Fluids, 27, 663–680, 1998.
222 A. Tabarraei, N. Sukumar: Extended finite element method on polygonal and quadtree meshes, Comp. Methods Appl. Mech. Engrg., 197, 425–438, 2008.
223 M. Tabbara, T. Blacker, T. Belytschko: Finite element derivative recovery by moving least square interpolants, Comp. Methods Appl. Mech. Engrg., 117, 211–223, 1994.
224 J.E. Tarancón, A. Vercher, E. Giner, F. J. Fuenmayor: Enhanced blending elements for XFEM applied to linear elastic fracture mechanics, Internat. J. Numer. Methods Engrg., 77, 126–148, 2009.
225 R. Tezaur, L. Zhang, C. Farhat: A discontinuous enrichment method for capturing evanescent waves in multiscale fluid and fluid/solid problems, Comp. Methods Appl. Mech. Engrg., 197, 1680–1698, 2008.
226 R. Tian, G. Yagawa, H. Terasaka: Linear dependence problems of partition of unity-based generalized FEMs, Comp. Methods Appl. Mech. Engrg., 195, 4768–4782, 2006.
227 J.F. Unger, S. Eckardt, C. Könke: Modelling of cohesive crack growth in concrete structures with the extended finite element method, Comp. Methods Appl. Mech. Engrg., 196, 4087–4100, 2007.
228 S. Valance, R. de Borst, J. Réthoré, M. Coret: A partition-of-unity-based finite element method for level sets, Internat. J. Numer. Methods Engrg., 76, 1513–1527, 2008.
229 B.L. Vaughan, Jr., B.G. Smith, D.L. Chopp: A comparison of the extended finite element method with the immersed interface method for elliptic equations with discontinuous coefficients and singular sources, Comm. App. Math. and Comp. Sci., 1, 207–228, 2006.
230 G. Ventura, J.X. Xu, T. Belytschko: A vector level set method and new discontinuity approximations for crack growth by EFG, Internat. J. Numer. Methods Engrg., 54, 923–944, 2002.
231 G. Ventura, E. Budyn, T. Belytschko: Vector level sets for description of propagating cracks in finite elements, Internat. J. Numer. Methods Engrg., 58, 1571–1592, 2003.
232 G. Ventura, B. Moran, T. Belytschko: Dislocations by partition of unity, Internat. J. Numer. Methods Engrg., 62, 1463–1487, 2005.
233 G. Ventura: On the elimination of quadrature subcells for discontinuous functions in the eXtended finite element method, Internat. J. Numer. Methods Engrg., 66, 761–795, 2006.
234 G. Ventura, R. Gracie, T. Belytschko: Fast integration and weight function blending in the extended finite element method, Internat. J. Numer. Methods Engrg., 77, 1–29, 2009.
235 E. Vitali, D.J. Benson: An extended finite element formulation for contact in multi-material arbitrary Lagrangian-Eulerian calculations, Internat. J. Numer. Methods Engrg., 67, 1420–1444, 2006.
236 G.J. Wagner, N. Moës, W.K. Liu, T. Belytschko: The extended finite element method for rigid particles in Stokes flow, Internat. J. Numer. Methods Engrg., 51, 293–313, 2001.
237 G.J. Wagner, S. Ghosal, W.K. Liu: Particulate flow simulations using lubrication theory solution enrichment, Internat. J. Numer. Methods Engrg., 56, 1261–1289, 2003.
238 H. Waisman, T. Belytschko: Parametric enrichment adaptivity by the extended finite element method, Internat. J. Numer. Methods Engrg., 73, 1671–1692, 2008.
239 G.N. Wells, L.J. Sluys: A new method for modelling cohesive cracks using finite elements, Internat. J. Numer. Methods Engrg., 50, 2667–2682, 2001.
240 K.S. Woo, C.H. Hong, Y.S. Shin: An extended equivalent domain integral method for mixed mode fracture problems by the p-version of FEM, Internat. J. Numer. Methods Engrg., 42, 857–884, 1998.
241 E. Wyart, D. Coulon, M. Duflot, T. Pardoen, J.F. Remacle, F. Lani: A substructured FE-shell/XFE 3D method for crack analysis in thin walled structures, Internat. J. Numer. Methods Engrg., 72, 757–779, 2007.
242 E. Wyart, M. Duflot, D. Coulon, P. Martiny, T. Pardoen, J.F. Remacle, F. Lani: Substructuring FE-XFE approaches applied to three-dimensional crack propagation, J. Comput. Appl. Math., 215, 626–638, 2008.
243 Q.Z. Xiao, B.L. Karihaloo: Improving the accuracy of XFEM crack tip fields using higher order quadrature and statically admissible stress recovery, Internat. J. Numer. Methods Engrg., 66, 1378–1410, 2006.
244 Q.Z. Xiao, B.L. Karihaloo, X.Y. Liu: Incremental-secant modulus iteration scheme and stress recovery for simulating cracking process in quasi-brittle materials using XFEM, Internat. J. Numer. Methods Engrg., 69, 2606–2635, 2007.
245 Q.Z. Xiao, B.L. Karihaloo: Implementation of hybrid crack element on a general finite element mesh and in combination with XFEM, Comp. Methods Appl. Mech. Engrg., 196, 1864–1873, 2007.
246 Q.Z. Xiao, B.L. Karihaloo: Direct evaluation of accurate coefficients of the linear elastic crack tip asymptotic field, Fatigue \& Fracture of Engineering Materials \& Structures, 26, 719–729, 2003.
247 P.S. Yang, J.Y. Liou, J.C. Sung: Infinite sequence of parallel cracks in an anisotropic piezoelectric solid, Comp. Methods Appl. Mech. Engrg., 197, 3850–3861, 2008.
248 H.K. Zhao, T. Chan, B. Merriman, S. Osher: A variational level set approach to multiphase motion, J. Comput. Phys., 127, 179–195, 1996.
249 G. Zi, T. Belytschko: New crack-tip elements for XFEM and applications to cohesive cracks, Internat. J. Numer. Methods Engrg., 57, 2221–2240, 2003.
250 A. Zilian, A. Legay: The enriched space-time finite element method (EST) for simultaneous solution of fluid-structure interaction, Internat. J. Numer. Methods Engrg., 75, 305–334, 2008.
251 A. Zilian, T.P. Fries: A localized mixed-hybrid method for imposing interfacial constraints in the extended finite element method (XFEM), Internat. J. Numer. Methods Engrg., DOI: 10.1002/nme.2596, 2009.
252 S. Zlotnik, P. Díez, M. Fernández, J. Vergés: Numerical modelling of tectonic plates subduction using X-FEM, Comp. Methods Appl. Mech. Engrg., 196, 4283–4293, 2007.

Thomas-Peter Fries (fries@tugraz.at)