Publications by T.P. Fries and co-workers

The following list of publications by Thomas-Peter Fries and co-workers is structured as:

A general, comprehensive list of publications on the XFEM can be found here.

Publications in Journals and Books

T.P. Fries, H.G. Matthies: Meshfree Petrov-Galerkin methods for the incompressible Navier-Stokes equations. In Meshfree Methods for Partial Differential Equations (M. Griebel, M.A. Schweitzer, Eds.), Lectures Notes in Computational Science and Engineering, Vol. 43, 39-54, Springer Verlag, Berlin, 2005.
T.P. Fries, H.G. Matthies: A stabilized and coupled meshfree/meshbased method for the incompressible Navier-Stokes equations – part I: Stabilization, Comp. Methods in Appl. Mech. Engrg., 195, 6205-6224, 2006.
T.P. Fries, H.G. Matthies: A stabilized and coupled meshfree/meshbased method for the incompressible Navier-Stokes equations – part II: Coupling, Comp. Methods in Appl. Mech. Engrg., 195, 6191-6204, 2006.
T.P. Fries, T. Belytschko: New shape functions for arbitrary discontinuities without additional unknowns. In Meshfree Methods for Partial Differential Equations (M. Griebel, M.A. Schweitzer, Eds.), Lectures Notes in Computational Science and Engineering, Vol. 57, 87-104, Springer Verlag, Berlin, 2006.
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.
T.P. Fries, T. Belytschko: Convergence and stabilization of stress-point integration in mesh-free and particle methods, Internat. J. Numer. Methods Engrg., 74, 1067-1087, 2007.
T.P. Fries, T. Belytschko: The intrinsic partition of unity method, Comput. Mech., 40, 803-814, 2007.
T.P. Fries: A corrected XFEM approximation without problems in blending elements, Internat. J. Numer. Methods Engrg., 75, 503-532, 2007.
T.P. Fries: The intrinsic XFEM for two-fluid flows, Internat. J. Numer. Methods Fluids, 60, 437-471, 2009.
T.P. Fries, A. Zilian: On time integration in the XFEM, Internat. J. Numer. Methods Engrg., 79, 69-93, 2009.
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., 79, 733-752, 2009.
K.W. Cheng, T.P. Fries: Higher-order XFEM for curved strong and weak discontinuities, Internat. J. Numer. Methods Engrg., 82, 564-590, 2010.
S. Abbas, A. Alizada, T.P. Fries: The XFEM for high-gradient solutions in convection-dominated problems, Internat. J. Numer. Methods Engrg., 82, 1044-1072, 2010.
T.P. Fries, T. Belytschko: The generalized/extended finite element method: An overview of the method and its applications, Internat. J. Numer. Methods Engrg., 84, 253-304, 2010.
T.P. Fries, A. Byfut, A. Alizada, K.W. Cheng, A. Schröder: Hanging nodes and XFEM, Internat. J. Numer. Methods Engrg., 86, 404-430, 2011.
T.P. Fries, N. Moës, A. Zilian (editors): The extended finite element method, special issue, Internat. J. Numer. Methods Engrg., 86, 403-666, 2011.
H. Sauerland, T.P. Fries: The extended finite element method for two-phase and free-surface flows: A systematic study, J. Comput. Phys., 230, 3369-3390, 2011.
T.P. Fries, M. Baydoun: Crack propagation with the XFEM and a hybrid explicit-implicit crack description, Internat. J. Numer. Methods Engrg., 89, 1527-1558, 2012.
K.W. Cheng, T.P. Fries: XFEM with hanging nodes for two-phase incompressible flow, Comp. Methods in Appl. Mech. Engrg., 245, 290-312, 2012.
M. Baydoun, T.P. Fries: Crack propagation criteria in three dimensions using the XFEM and an explicit-implicit crack description, Int. J. of Fracture, 178, 51-70, 2012.
H. Sauerland, T.P. Fries: The stable XFEM for two-phase flows, Computers & Fluids, Special Issue: USNCCM Moving Boundaries, DOI: 10.1016/j.compfluid.2012.10.017.

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Dissertation

T.P. Fries: A stabilized and coupled meshfree/meshbased method for fluid-structure-interaction problems, Dissertation, In Braunschweiger Schriften zur Mechanik (H. Antes, Ed.), Nr. 59-2005, Braunschweig, 2005.

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Conference Proceedings

T.P. Fries, H.G. Matthies: SUPG stabilization of meshfree methods for convection-dominated problems, Proceedings in Applied Mathematics and Mechanics, Vol. 3, John Wiley & Sons, Chichester, 2003.
T.P. Fries, H.G. Matthies: Coupling meshfree methods and FEM for the solution of the incompressible Navier-Stokes equations, Proceedings in Applied Mathematics and Mechanics, Vol. 4, John Wiley & Sons, Chichester, 2004.
T.P. Fries, H.G. Matthies: Coupled meshfree/meshbased methods for fluid dynamics: An alternative to the Chimera grid technique, Proceedings of the XXXII International Summer School - Conference: Advanced Problems in Mechanics (APM 2004), St. Petersburg, Russia, 2004.
T.P. Fries, H.G. Matthies: Stabilized and coupled FEM/EFG approximations for fluid problems, Proceedings of the Sixth World Congress on Computational Mechanics (WCCM VI), Beijing, China, 2004.
T.P. Fries, H.G. Matthies: Simulation of incompressible flows with coupled FEM/EFG shape functions, Proceedings in Applied Mathematics and Mechanics, Vol. 5, John Wiley & Sons, Chichester, 2005.
T.P. Fries, H.G. Matthies: A coupled meshfree/meshbased method for complex fluid-structure interaction problems, Proceedings of the ECCOMAS Thematic Conference on Coupled Problems (M. Papadrakakis, E. Oñate, B. Schrefler, Eds.), Santorini, Greece, 2005.
T.P. Fries: Simulation of swimming objects by means of the extended finite element method, Proceedings of the ECCOMAS Thematic Conference on Coupled Problems (M. Papadrakakis, E. Oñate, B. Schrefler, Eds.), Ischia, Italy, 2009.
S. Abbas, A. Alizada, T.P. Fries: The extended finite element method for high-gradient solutions, Proceedings of the ECCOMAS Thematic Conference on Extended Finite Element Methods (XFEM 2009) (T.P Fries, A. Zilian, Eds.), Aachen, Germany, 2009.
A. Alizada, T.P. Fries: Simulation of cracks with XFEM and hanging nodes, Proceedings of the ECCOMAS Thematic Conference on Extended Finite Element Methods (XFEM 2009) (T.P Fries, A. Zilian, Eds.), Aachen, Germany, 2009.
K.W. Cheng, T.P. Fries: A systematic study of different XFEM-formulations with respect to higher-order accuracy for arbitrarily curved discontinuities, Proceedings of the ECCOMAS Thematic Conference on Extended Finite Element Methods (XFEM 2009) (T.P Fries, A. Zilian, Eds.), Aachen, Germany, 2009.
H. Sauerland, T.P. Fries: Free-surface flows with the XFEM: A comparison with interface tracking in the classical FEM, Proceedings of the ECCOMAS Thematic Conference on Extended Finite Element Methods (XFEM 2009) (T.P Fries, A. Zilian, Eds.), Aachen, Germany, 2009.
H. Sauerland, T.P. Fries: 3D two-phase flow simulations with the extended finite element method (XFEM), Proceedings of the 5th European Conference on Computational Fluid Dynamics (ECCOMAS CFD 2010) (J. C. F. Pereira, A. Sequeira, J. M. C. Pereira, Eds.), Lisbon, Portugal, 2010.
S. Abbas, T.P. Fries: A unified enrichment scheme for fracture problems, IOP Conf. Ser.: Mater. Sci. Eng. 10 012045 (WCCM/APCOM 2010), Sydney, Australia, 2010.
T.P. Fries: A new description of cracks in the XFEM, Proceedings in Applied Mathematics and Mechanics, Vol. 11, John Wiley & Sons, Chichester, 2011.
H. Sauerland, T.P. Fries: Two-phase flows using the XFEM: Modeling of transport phenomena on fluid interfaces, Proceedings of the ECCOMAS Thematic Conference on Extended Finite Element Methods (XFEM 2011), Cardiff, UK, 2011, submitted.
H. Sauerland, T.P. Fries: The extended finite element method applied to 3D free-surface flows, Proceedings of the 6th European Congress on Computational Methods in Applied Sciences and Engineering (ECCOMAS 2012), Vienna, Austria, 2012.

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Conference Presentations

T.P. Fries, H.G. Matthies: SUPG stabilization for convection-dominated problems with Meshfree Methods, Annual meeting of the GAMM (International association of applied mathematics and mechanics) in Padua, Italy, Mar. 2003.
T.P. Fries, H.G. Matthies: Petrov-Galerkin meshfree methods for the incompressible Navier-Stokes equations, Workshop "Meshfree Methods for Partial Differential Equations" in Bonn, Germany, Sep. 2003.
T.P. Fries, H.G. Matthies: Coupling meshfree methods and FEM for the incompressible Navier-Stokes equations, Annual meeting of the GAMM (International association of applied mathematics and mechanics) in Dresden, Germany, Mar. 2004.
T.P. Fries, H.G. Matthies: Coupled meshfree/meshbased methods for fluid dynamics – An alternative for the Chimera grid technique, Advanced problems in mechanics (APM) in St. Petersburg, Russia, Jun. 2004.
T.P. Fries, H.G. Matthies: Stabilized and coupled FEM/EFG approximations for fluid problems, World congress on computational mechanics (WCCM) VI in Beijing, China, Sep. 2004.
T.P. Fries, H.G. Matthies: Simulation of incompressible flows with coupled FEM/EFG shape functions, Annual meeting of the GAMM (International association of applied mathematics and mechanics) in Luxemburg, Mar. 2005.
T.P. Fries, H.G. Matthies: A coupled meshfree/meshbased method for geometrically complex FSI problems, ECCOMAS thematic conference "Coupled Problems" in Santorini, Greece, May 2005.
T.P. Fries, H.G. Matthies: A coupled meshfree/meshbased method for geometrically complex FSI problems, Third M.I.T. conference on computational fluid and solid mechanics in Cambridge, USA, Jun. 2005.
T.P. Fries, T. Belytschko: The intrinsic XFEM: A method for arbitrary discontinuities without additional unknowns, World congress on computational mechanics (WCCM) VII in Los Angeles, USA, Jul. 2006.
T.P. Fries: The intrinsic XFEM for two-fluid flows, International conference on computational mechanics (ICCM) in Hiroshima, Japan, Apr. 2007.
T.P. Fries: A modified XFEM with no problems in blending elements, 9th US National Congress on Computational Mechanics (USNCCM9) in San Francisco, USA, Jul. 2007.
T. Belytschko, T.P. Fries, T. Rabczuk: Stress-point integration and large deformation studies in meshfree methods, 4th Workshop "Meshfree Methods for Partial Differential Equations" in Bonn, Germany, Sep. 2007.
T.P. Fries: The intrinsic XFEM for incompressible moving boundary problems, 2nd GACM Colloquium on Computational Mechanics in München, Germany, Oct. 2007.
T.P. Fries: Coupling meshfree methods and FEM for fluid-structure interaction, 2nd GACM Colloquium on Computational Mechanics in München, Germany, Oct. 2007.
M. Gerressen, D. Riediger, T.P. Fries, T. Kuhlen: Entwicklung eines interaktiven VR-basierten chirurgischen Simulators zum Training der BSSO, 58. Jahrestagung der Arbeitsgemeinschaft Kieferchirurgie, Wiesbaden, Germany, May 2008.
A. Alizada, T.P. Fries: The extended finite element method for boundary layers, World congress on computational mechanics (WCCM 8) and European congress on computational methods in applied sciences and engineering (ECCOMAS 2008), Venice, Italy, Jul. 2008.
T.P. Fries, A. Zilian: Time integration in the XFEM, World congress on computational mechanics (WCCM 8) and European congress on computational methods in applied sciences and engineering (ECCOMAS 2008), Venice, Italy, Jul. 2008.
T.P. Fries: The extended finite element method: An introduction and overview, Workshop on Multiscale Methods in Rolduc, Netherlands, Mar. 2009.
T.P. Fries: Simulation of swimming objects by means of the extended finite element method, ECCOMAS Thematic Conference on Coupled Problems, Ischia, Italy, Jun. 2009.
S. Abbas, T.P. Fries: XFEM as an alternative for the classical h-refinement, 10th US National Congress on Computational Mechanics (USNCCM X) in Columbus (OH), USA, Jul. 2009.
K.W. Cheng, T.P. Fries: Higher-order extended finite element method for arbitrary weak discontinuities, 10th US National Congress on Computational Mechanics (USNCCM X) in Columbus (OH), USA, Jul. 2009.
T.P. Fries: Time integration in the XFEM for two-phase and free-surface flows, 10th US National Congress on Computational Mechanics (USNCCM X) in Columbus (OH), USA, Jul. 2009.
S. Abbas, A. Alizada, T.P. Fries: The extended finite element method for convection-dominated problems, 3rd GACM Colloquium on Computational Mechanics in Hannover, Germany, Sep. 2009.
A. Alizada, T.P. Fries: Two-phase flow simulation with XFEM and hanging nodes, 3rd GACM Colloquium on Computational Mechanics in Hannover, Germany, Sep. 2009.
K.W. Cheng, T.P. Fries: A comparison of various enrichment functions for weak discontinuities with respect to higher-order XFEM approximations, 3rd GACM Colloquium on Computational Mechanics in Hannover, Germany, Sep. 2009.
H. Sauerland, T.P. Fries: Free-surface flows with the XFEM: A comparison with interface tracking in the classical FEM, 3rd GACM Colloquium on Computational Mechanics in Hannover, Germany, Sep. 2009.
T.P. Fries: The extended finite element method for the simulation of swimming objects, 3rd GACM Colloquium on Computational Mechanics in Hannover, Germany, Sep. 2009.
S. Abbas, A. Alizada, T.P. Fries: The extended finite element method for high-gradient solutions, ECCOMAS thematic conference on extended finite element methods (XFEM 2009) in Aachen, Germany, Sep. 2009.
A. Alizada, T.P. Fries: Simulation of cracks with XFEM and hanging nodes, ECCOMAS thematic conference on extended finite element methods (XFEM 2009) in Aachen, Germany, Sep. 2009.
K.W. Cheng, T.P. Fries: A systematic study of different XFEM-formulations with respect to higher-order accuracy for arbitrarily curved discontinuities, ECCOMAS thematic conference on extended finite element methods (XFEM 2009) in Aachen, Germany, Sep. 2009.
H. Sauerland, T.P. Fries: Free-surface flows with the XFEM: A comparison with interface tracking in the classical FEM, ECCOMAS thematic conference on extended finite element methods (XFEM 2009) in Aachen, Germany, Sep. 2009.
T.P. Fries, S. Abbas, A. Alizada, M. Baydoun, K.W. Cheng, H. Sauerland: Extended finite element methods for evolving interfaces, ECCOMAS thematic conference on extended finite element methods (XFEM 2009) in Aachen, Germany, Sep. 2009.
S. Abbas, T.P. Fries: High gradient enrichment functions for crack propagation in cohesive and cohesion-less cracks, 4th European Conference on Computational Mechanics (ECCM 2010) in Paris, France, May 2010.
A. Alizada, T.P. Fries: Cracks and crack propagation with XFEM and hanging nodes in 2D, 4th European Conference on Computational Mechanics (ECCM 2010) in Paris, France, May 2010.
M. Baydoun, T.P. Fries: The XFEM using crack-tip enrichment with large support for curved cracks, 4th European Conference on Computational Mechanics (ECCM 2010) in Paris, France, May 2010.
K.W. Cheng, T.P. Fries: h-adaptive XFEM for two-phase incompressible flow, 4th European Conference on Computational Mechanics (ECCM 2010) in Paris, France, May 2010.
H. Sauerland, T.P. Fries: 3D two-phase flow simulations with the extended finite element method (XFEM), 5th European Conference on Computational Fluid Dynamics (ECCOMAS CFD 2010) in Lisbon, Portugal, Jun. 2010.
S. Abbas, T.P. Fries: A unified enrichment scheme for fracture problems, 9th World congress on computational mechanics (WCCM 2010) in Sydney, Australia, Jul. 2010.
A. Alizada, T.P. Fries: Cohesive cracks with XFEM and hanging nodes, 9th World congress on computational mechanics (WCCM 2010) in Sydney, Australia, Jul. 2010.
M. Baydoun, T.P. Fries: Hybrid explicit-implicit description of cracks in XFEM, 9th World congress on computational mechanics (WCCM 2010) in Sydney, Australia, Jul. 2010.
H. Sauerland, T.P. Fries: Parallelization of an extended finite element two-phase flow solver, 9th World congress on computational mechanics (WCCM 2010) in Sydney, Australia, Jul. 2010.
H. Sauerland, T.P. Fries: Modeling transport phenomena on fluid interfaces in combination with the XFEM, 16. Internat. Conference on Finite Elements in Flow Problems in Munich, Germany, Mar. 2011.
T.P. Fries: 3d fracture simulations with XFEM and a hybrid explicit-implicit crack description, Annual meeting of the GAMM (International association of applied mathematics and mechanics) in Graz, Austria, Apr. 2011.
M. Baydoun, T.P. Fries: Material forces for 3D crack propagation in XFEM, International conference on Computational Modeling of Fracture and Failure of Materials and Structures (CFRAC 2011) in Barcelona, Spain, Jun. 2011.
T.P. Fries: 3d crack propagation with XFEM and mesh refinement, International conference on Computational Modeling of Fracture and Failure of Materials and Structures (CFRAC 2011) in Barcelona, Spain, Jun. 2011.
H. Sauerland, T.P. Fries: Two-phase flows using the XFEM: Modeling of transport phenomena on fluid interfaces, ECCOMAS thematic conference on extended finite element methods (XFEM 2011) in Cardiff, UK, Jun. 2011.
H. Sauerland, T.P. Fries: 3D free-surface flow simulations with accurate treatment of discontinuities using the XFEM, 11th US National Congress on Computational Mechanics (USNCCM XI) in Minneapolis (MN), USA, Jul. 2011.
H. Sauerland, T.P. Fries: The extended finite element method applied to 3D free-surface flows, 6th European Congress On Computational Methods In Applied Sciences And Engineering (ECCOMAS 2012) in Vienna, Sep. 2012.

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Technical Reports

We only show two technical reports that are the outcome of intensive literature studies and did not lead to publications. Other technical reports may be downloaded above next to the corresponding publication.

T.P. Fries, H.G. Matthies: Classification and overview of meshfree methods, Informatikbericht-Nr. 2003-03, Technische Universität Braunschweig, Braunschweig, 2003.
T.P. Fries, H.G. Matthies: A review of Petrov-Galerkin stabilization approaches and an extension to meshfree methods, Informatikbericht-Nr. 2004-01, Technische Universität Braunschweig, Braunschweig, 2004.

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Thomas-Peter Fries (fries@tugraz.at)