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Thomas-Peter Fries

Contact


Dr.-Ing. Thomas-Peter Fries
Institute for Computational Analysis of Technical Systems
RWTH Aachen University
Schinkelstr. 2
52056 Aachen
Germany

Phone: +49(0)241 80 99930
Fax: +49(0)241 80 22430
Email: fries@cats.rwth-aachen.de
Project homepage: www.xfem.rwth-aachen.de

Education


Dipl.-Ing. in Civil Engineering, 1996-2001
MSc in Computational Engineering Science, 1999-2001
Dissertation, Institute for Scientific Computing, Technical University of Braunschweig, Brunswick, Germany, 2002-2005

Professional Career


Postdoctoral fellow, Northwestern University, Evanston, Illinois, USA, 2005-2006
Junior research group leader in the Emmy-Noether program of the German Research Association, RWTH Aachen University, since 2006

Research Interests


Extended finite element method (XFEM)

For many engineering tasks, the reality may be abstracted by models, which are based in continuum mechanics. Numerical methods approximate field variables of the model equations, such as displacements, stresses, velocities etc. In practice, a rapid change of a field variable may frequently be observed in local parts of the continuum, for example at cracks, material interfaces, or shocks. In these cases, standard methods do, in general, not lead to adequate approximations of the real situation. Special numerical methods have been developed in order to satisfactory solve various situations where discontinuities are present.
The extended finite element method (XFEM) is frequently used for the simulation of discontinuities and other locally non-polynomial phenomena. This method enables a local enrichment of the approximation space. The aim of the project is, on the one hand, the development and investigation of enriched finite element techniques in the frame of the XFEM. On the other hand, the field of application of special methods for discontinuities shall be enhanced by examining discontinuitities in fluid mechanics, such as boundary layers and shocks.


Publications


A download of these publications is possible from the project homepage of Thomas-Peter Fries.

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.

Journals

T.P. Fries, H.G. Matthies: Meshfree Petrov-Galerkin Methods for the Incompressible Navier-Stokes Equations. In Meshfree Methods for Partial Differential Equations II (M. Griebel, M.A. Schweitzer, Eds.), Lectures Notes in Computational Science and Engineering, Springer Verlag, Berlin, Vol. 43, 39–54, 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 III (M. Griebel, M.A. Schweitzer, Eds.), Lectures Notes in Computational Science and Engineering, Springer Verlag, Berlin, Vol. 57, 87–104, 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., DOI 10.1002/nme.2198.

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., accepted.

Reports

T.P. Fries, H.G. Matthies: Classification and Overview of Meshfree Methods, Informatikbericht-Nr. 2003-03, Technische Universität Braunschweig, Brunswick, Germany, 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, Brunswick, Germany, 2004.

T.P. Fries, H.G. Matthies: A Stabilized and Coupled Meshfree/Meshbased Method for the Incompressible Navier-Stokes Equations - Part I: Stabilization, Informatikbericht-Nr. 2005-02, Technische Universität Braunschweig, Brunswick, Germany, 2005.

T.P. Fries, H.G. Matthies: A Stabilized and Coupled Meshfree/Meshbased Method for the Incompressible Navier-Stokes Equations - Part II: Coupling, Informatikbericht-Nr. 2005-03, Technische Universität Braunschweig, Brunswick, Germany, 2005.