Profile
Profile

Prof. Dr. Marc Alexander Schweitzer

E-mail: schweitzer(at)ins.uni-bonn.de
Phone: +49 228 73 60461
Fax: +49 228 73 7527
Homepage: http://schweitzer.ins.uni-bonn.de/people/schweitzer.html
Room: 6.005
Location: Computing Center
Institute: Institute for Numerical Simulation
Research Area: Research Area J
Birthdate: 24.Jun 1972
Mathscinet-Number: 810553

Academic Career

2002

Dr. rer. nat., University of Bonn

2010 - 2013

Professor (W3), University of Stuttgart

Since 2013

Professor (W3), University of Bonn, and Fraunhofer SCAI, Sankt Augustin

Research Profile

The development of efficient meshfree methods for partial differential equations is at the center of my research work. Since these modern methods do not require the availability of an appropriate computational mesh they alleviate the treatment of applications in complex domains, especially in time-dependent settings.

The particle-partition of unity method, a meshfree generalization of the finite element method I have developed together with Prof. Dr. M. Griebel, furthermore allows for the easy incorporation of a priori information about special local behavior of the solution (e.g. discontinuities and singularities) by so-called enrichment. If such information is available (analytically or numerically) this enrichment technique reduces the computational complexity substantially since it eliminates the need for classical adaptive refinement. This enrichment technique can also be interpreted as a multiscale coupling.

In fracture mechanics for instance good enrichment information is often available from asymptotic expansions of the solution. Hence, the use of enriched approximation techniques is becoming well-established in this field. In general however the numerical construction of appropriate enrichment information is necessary. Here, the use of adaptive refinement or microscale simulations must be employed. The automatic computation of fine scale enrichment information and its incorporation in a coarse scale simulation is a very important research topic with wide application and thus shall be further explored also in the future.

Research Projects and Activities

High-Performance Parallel Computing

Parallel Algebraic Multigrid

Parallel Partition of Unity Methods

Contribution to Research Areas

Research Area J

Selected Publications

[12] U. Clarenz, M. Griebel, M. Rumpf, M. Schweitzer, A. Telea
Feature Sensitive Multiscale Editing on Surfaces
Also as Preprint No.~89, SFB 611, Universit├Ąt Bonn, Germany
The Visual Computer (20): 329--343
2004

Publication List

Awards

1999

Second Prize SuParCup, Mannheim, Germany

2003

Second Prize Leslie Fox Prize, Cambridge, England, UK

Download Profile