Profile
Profile

Prof. Dr. Mario Bebendorf

E-mail: bebendorf(at)ins.uni-bonn.de
Phone: +49 228 73 3144
Homepage: http://bebendorf.ins.uni-bonn.de/people/bebendorf.html
Room: 4.006
Location: Wegelerstr. 6
Institute: Institute for Numerical Simulation
Research Areas: Research Area B
Research Area J
Date of birth: 19.Feb 1972
Mathscinet-Number: 656638

Academic Career

1997

Diploma in Mathematics, Kaiserslautern University

2000

Dr. rer. nat., Saarland University

2000--2003

Postdoc, Max-Planck-Institute MiS, Leipzig University

2003--2008

Junior Professor (W1), Leipzig University

2007--2008

Replacement professorship, Bonn

2008--

Professor (W2), Bonn

Research Profile

Efficient numerical treatment of non-local operators;
preconditioning; efficient approximation of multivariate functions

Research Projects and Activities

Project leader of a project ''Multiscale problems and hierarchical matrices'' in the Collaborative Research Center SFB 611; DFG individual grant ''Tensorwertige Approximation mit Anwendungen in der Akustik und Elektrodynamik''; Cooperation contract with ABB, Switzerland.

Contribution to Research Areas

Research Area B
One of the numerical challenges in micromagnetics is the efficient treatment of the stray field energy. The evaluation involves non-local convolution operators, which after discretization lead to fully populated large scale matrices. For some geometries the computation can be accelerated via the fast Fourier transform. However, the formation of certain patterns strongly depends on the geometry. In order to be able to observe such effects and validate the theoretical findings via numerical simulation, an efficient technique is required that is able to treat general geometries. During the last years, our aim has been to apply the adaptive cross approximation method which constructs approximation in the set of hierarchical matrices with logarithmic-linear complexity. The results of this work have led to an improved approximation technique [1]. Based on this technique we have developed in cooperation with S
"oren Bartels and Felix Otto a simulation tool for the efficient computation of the magnetic field for general settings.
Research Area J
We extended the so-called adaptive cross approximation for the efficient treatment of systems of linear equation to multivariate functions and studied their convergence properties for a wide class of kernel functions [2]. Together with Stefan M
"uller we proved the independence of weighted Poincar
'e inequalities from high-contrast coefficients in rather general situations in [3].

Selected Publications

Awards

2006

Feoder Lynen research fellowship (Alexander von Humbold foundation)

Selected Invited Lectures

2007

UKBIM6, Durham, UK

2007

Preconditioning 2007, Toulouse University, France

Offers

2008

Professorship (W2), Kassel University

2009

Professorship (W3), TU Hamburg-Harburg

Supervised Theses

  • Bachelor theses: 3
  • Master theses: 1, currently 1
  • Diplom theses: 8, currently 3
  • PhD theses: 5, currently 4
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