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Overview
Univ.-Prof. Dr. Mario Bebendorf Univ.-Prof. Dr. Mario Bebendorf
Univ.-Prof. Dr. Mario Bebendorf

Faculty of mathematics, physics & computer science
Chair of Scientific Computing


Univ.-Prof. Dr. Mario Bebendorf

Spokesman and program manager of the elite master's degree program Scientific Computing

Member of the advisory council of the Regional Computing Center Erlangen (RRZE)

Office hours: by appointment via e-mail.

Employment History

01/2015 -Professor (Chair) of Scientific Computing, University of Bayreuth, Germany
10/2007 - 12/2014Professor of Numerical Analysis, University of Bonn, Germany
05/2003 - 09/2007Juniorprofessor of Numerical Methods for PDEs
University of Leipzig, Germany
10/2000 - 04/2003Postdoctoral Research Assistant
Max Planck Institute for Mathematics in the Sciences, Leipzig, Germany
07/1997 - 09/2000Scientific Assistant, Saarland University, Germany
Academic History
01/2007Habilitation in Mathematics
University of Leipzig, Germany
11/2000Doctorate degree (Summa Cum Laude) in Mathematics, Saarland University, Germany
06/1997Diploma (With Distinction) in Techno-Mathematics, University of Kaiserslautern, Germany
10/1992 - 06/1997Student of Techno-Mathematics
University of Kaiserslautern, Germany and Oxford University, England
Scholarships, Memberships and Special Funding
2018Successful application of the elite master's program Scientific Computing
funded by the Elite Network of Bavaria
2013-2015Member of the Collab. Research Center (SFB) 1060 "The Mathematics of Emergent Effects"
2008-2012Member of the Collab. Research Center (SFB) 611 "Singular Phenomena and Scaling in Mathematical Models"
06/2006Feodor Lynen research fellowship awarded by Alexander von Humboldt foundation
01/1996ERASMUS scholarship at Oxford University
Univ.-Prof. Dr. Mario Bebendorf

Faculty of mathematics, physics & computer science
Chair of Scientific Computing


Fields of Research

  • Numerical methods for partial differential equations
  • Scientific computing
  • Fast methods for non-local operators (e.g. hierarchical matrices)
Univ.-Prof. Dr. Mario Bebendorf

Faculty of mathematics, physics & computer science
Chair of Scientific Computing


Publications

2019

Bauer, Maximilian; Bebendorf, Mario
Block-adaptive Cross Approximation of Discrete Integral Operators
Bayreuth, 2019. - 21 pp.
doi:10.15495/EPub_UBT_00004384 ...

Bauer, Maximilian; Bebendorf, Mario
The Coupling of low-rank Approximations with the Solution Process for discretised Boundary Integral Equations
2019
International Conference on Scientific Computation and Differential Equations (SciCADE 2019), Innsbruck, Österreich

Feist, Bernd; Bebendorf, Mario
Fractional Laplacian : Approximation of the Dense FEM Stiffnessmatrix by H-Matrices
2019
International Conference on Scientific Computation and Differential Equations (SciCADE 2019), Innsbruck, Österreich

2017

Bauer, Maximilian; Bebendorf, Mario
Additional adaptive methods for the cross approximation of BEM-matrices
2017
15. Workshop on Fast Boundary Element Methods in Industrial Applications, Hirschegg, Österreich

2016

Bebendorf, Mario
Mathematik an der Universität Bayreuth
2016
Hochschultag an der Hochschule Hof, Hof

Bebendorf, Mario
Mathematik an der Universität Bayreuth
2016
Hochschultag an der Universität Bayreuth, Bayreuth

Bebendorf, Mario
Low-rank approximation of elliptic boundary value problems with high-contrast coefficients
in SIAM Journal on Mathematical Analysis vol. 48 (2016) issue 2. - pp. 932-949
doi:10.1137/140991030 ...

Bebendorf, Mario; Bollhöfer, Matthias; Bratsch, Michael
On the Spectral Equivalence of Hierarchical Matrix Preconditioners for Elliptic Problems
in Mathematics of Computation vol. 85 (2016) issue 302. - pp. 2839-2861
doi:10.1090/mcom/3086 ...

2015

Bebendorf, Mario; Kuske, Christian; Venn, Raoul
Wideband nested cross approximation for Helmholtz problems
in Numerische Mathematik vol. 130 (2015) issue 1. - pp. 1-34
doi:10.1007/s00211-014-0656-7 ...

2014

Bebendorf, Mario; Kuske, Christian
Separation of variables for function generated high-order tensors
in Journal of Scientific Computing vol. 61 (2014) issue 1. - pp. 145-165

Bebendorf, Mario; Maday, Yvon; Stamm, Benjamin
Comparison of Some Reduced Representation Approximations
Quarteroni, Alfio ; Rozza, Gianluigi (Hrsg.): Reduced Order Methods for Modeling and Computational Reduction - Basel: Springer, 2014. - pp. 67-100 . - (Modeling, Simulation and Applications; 9)
doi:10.1007/978-3-319-02090-7_3 ...

Bartels, Sören; Bebendorf, Mario; Bratsch, Michael
A Fast and Accurate Numerical Method for the Computation of Unstable Micromagnetic Configurations
Griebel, Michael (Hrsg.): Singular Phenomena and Scaling in Mathematical Models - Springer: Basel, 2014. - pp. 413-434
doi:10.1007/978-3-319-00786-1_18 ...

2013

Bebendorf, Mario; Bollhöfer, Matthias; Bratsch, Michael
Hierarchical matrix approximation with blockwise constraints
in BIT Numerical Mathematics vol. 53 (2013) issue 2. - pp. 311-339
doi:10.1007/s10543-012-0413-1 ...

Bebendorf, Mario; Hardesty, Sean
Adaptive cross approximation of tensors arising in the discretization of boundary integral operator shape derivatives
in Engineering Analysis with Boundary Elements vol. 37 (2013) issue 1. - pp. 60-67
doi:10.1016/j.enganabound.2012.09.003 ...

Bebendorf, Mario; Kühnemund, Andreas; Rjasanow, S.
An equi-directional generalization of adaptive cross approximation for higher-order tensors
in Applied Numerical Mathematics vol. 74 (2013) . - pp. 1-16
doi:10.1016/j.apnum.2013.08.001 ...

Bebendorf, Mario; Krämer, Florian
Hierarchical Matrix Preconditioning for Low-Frequency–Full-Maxwell Simulations
in Proceedings of the IEEE vol. 101 (2013) issue 2. - pp. 423-433
doi:10.1109/JPROC.2012.2204849 ...

Bebendorf, Mario
Wideband nested cross approximation for Helmholtz problems
Oberwolfach reports, Vol. 10,1 - Oberwolfach, 2013. - pp. 142-146
doi:10.4171/OWR/2013/03 ...

2012

Bebendorf, Mario; Venn, Raoul
Constructing nested bases approximations from the entries of non-local operators
in Numerische Mathematik vol. 121 (2012) issue 4. - pp. 609-635
doi:10.1007/s00211-012-0449-9 ...

2011

Bebendorf, Mario
Adaptive Cross Approximation of Multivariate Functions
in Constructive Approximation vol. 34 (2011) issue 2. - pp. 149-179
doi:10.1007/s00365-010-9103-x ...

Bebendorf, Mario; Fischer, T.
On the purely algebraic data-sparse approximation of the inverse and the triangular factors of sparse matrices
in Numerical Linear Algebra with Applications vol. 18 (2011) issue 1. - pp. 105-122
doi:10.1002/nla.714 ...

2010

Brunner, D.; Junge, M.; Rapp, P.; Bebendorf, Mario; Gaul, L.
Comparison of the fast multipole method with hierarchical matrices for the Helmholtz-BEM
in Computer Modeling in Engineering and Sciences vol. 58 (2010) issue 2. - pp. 131-160
doi:10.3970/cmes.2010.058.131 ...

Bebendorf, Mario; Fischer, Thomas
Efficient solution of non-linear systems at metal forming processes using hierarchical matrices
In: Hirt, Gerhard(ed.): Modelling of incremental forming processes : Final report of the DFG priority programme SPP 1146 - Aachen: Shaker Verlag, 2010. - pp. 195-213

Ostrowski, Joerg Marc; Bebendorf, Mario; Hiptmair, Ralf; Krämer, Florian
H-matrix-based operator preconditioning for full Maxwell at low frequencies
in IEEE Transactions on Magnetics vol. 46 (2010) issue 8. - pp. 3193-3196
doi:10.1109/TMAG.2010.2042934 ...

Bebendorf, Mario; Ostrowski, Joerg Marc
Hierarchical matrix preconditioners for the curl-curl operator
Oberwolfach reports, Vol. 7,1 - Oberwolfach, 2010. - pp. 424-428
doi:10.4171/OWR/2010/10 ...

2009

Krämer, Florian; Bebendorf, Mario; Ostrowski, Joerg Marc; Hiptmair, Ralf
Hierarchical matrix preconditioners for eddy current problems
Institute of Electrical and Electronics Engineers: International Conference on Electromagnetics in Advanced Applications, 2009 - Piscataway, NJ: IEEE, 2009. - pp. 724-727
doi:10.1109/ICEAA.2009.5297293 ...

Bebendorf, Mario; Ostrowski, Joerg Marc
Parallel hierarchical matrix preconditioners for the curl-curl operator
in Journal of Computational Mathematics vol. 27 (2009) issue 5. - pp. 624-641
doi:10.4208/jcm.2009.27.5.014 ...

Bebendorf, Mario; Kunis, Stefan
Recompression Techniques for Adaptive Cross Approximation
in Journal of Integral Equations and Applications vol. 21 (2009) issue 3. - pp. 331-357
doi:10.1216/JIE-2009-21-3-331 ...

2008

Steinmetz, T.; Gödel, N.; Wimmer, G.; Clemens, M.; Kurz, S.; Bebendorf, Mario
Efficient symmetric FEM-BEM coupled simulations of electro-quasistatic fields
in IEEE Transactions on Magnetics vol. 44 (2008) issue 6. - pp. 1346-1349
doi:10.1109/TMAG.2008.915785 ...

Bebendorf, Mario
Hierarchical Matrices: A Means to Efficiently Solve Elliptic Boundary Value Problems
Berlin : Springer, 2008. - 290 pp. . - (Lecture Notes in Computational Science and Engineering; 63)
doi:10.1007/978-3-540-77147-0 ...

Bebendorf, Mario; Fischer, T:
A Purely Algebraic Approach to Preconditioning Based on Hierarchical LU Factorizations
Kunisch, Karl ; Of, Günther ; Steinbach, Olaf (Hrsg.): Numerical Mathematics and Advanced Applications : Proceedings of ENUMATH 2007, the 7th European Conference on Numerical Mathematics and Advanced Applications, Graz, Austria, September 2007 - Berlin: Springer, 2008. - pp. 135-142
doi:10.1007/978-3-540-69777-0_15 ...

2007

Bebendorf, Mario; Chen, Y.
Efficient solution of nonlinear elliptic problems using hierarchical matrices with Broyden updates
in Computing vol. 81 (2007) issue 4. - pp. 239-257
doi:10.1007/s00607-007-0252-0 ...

Smajić, Jasmin; Andjelić, Zoran; Bebendorf, Mario
Fast BEM for Eddy-Current Problems Using H-Matrices and Adaptive Cross Approximation
in IEEE Transactions on Magnetics vol. 43 (2007) issue 4. - pp. 1269-1272
doi:10.1109/TMAG.2006.890971 ...

Bebendorf, Mario
Hierarchical Matrices : a Means to Efficiently Solve Elliptic Boundary Value Problems
Leipzig, 2007
(habilitation, 2007, Universität Leipzig)

Bebendorf, Mario; Kunis, Stefan
Recompression Techniques for Adaptive Cross Approximation
Trevelyan, J. (ed.): Advances in Boundary Integral Methods : Proceedings of the 6th UK Conference on Boundary Integral Methods - Durham: Durham University, 2007. - pp. 1-11

Bebendorf, Mario; Hackbusch, Wolfgang
Stabilized rounded addition of hierarchical matrices
in Numerical Linear Algebra with Applications vol. 14 (2007) issue 5. - pp. 407-423
doi:10.1002/nla.525 ...

Steinmetz, T.; Gödel, N.; Wimmer, G.; Clemens, M.; Kurz, S.; Bebendorf, Mario; Rjasanow, S.
Symmetric Coupling of the Finite-Element and the Boundary-Element Method for Electro-Quasistatic Field Simulations
Ciuprina, Gabriela ; Ioan, Daniel (Hrsg.): Scientific Computing in Electrical Engineering - Berlin: Springer, 2007. - pp. 309-315 . - (Mathematics in Industry; 11)
doi:10.1007/978-3-540-71980-9_33 ...

Bebendorf, Mario
Why finite element discretizations can be factored by triangular hierarchical matrices
in SIAM Journal on Numerical Analysis vol. 45 (2007) issue 4. - pp. 1472-1494
doi:10.1137/060669747 ...

2006

Bebendorf, Mario; Grzhibovskis, R.
Accelerating Galerkin BEM for Linear Elasticity using Adaptive Cross Approximation
in Mathematical Methods in the Applied Sciences vol. 29 (2006) issue 14. - pp. 1721-1747
doi:10.1002/mma.759 ...

Bebendorf, Mario
Approximate Inverse Preconditioning of Finite Element Discretizations of Elliptic Operators with Nonsmooth Coefficients
in SIAM Journal on Matrix Analysis and Applications vol. 27 (2006) issue 4. - pp. 909-929
doi:10.1137/S0895479803437621 ...

Smajić, Jasmin; Andjelić, Zoran; Bebendorf, Mario
Fast BEM for Eddy-Current Problems using H-Matrices and Adaptive Cross Approximation
Electromagnetic Field Computation, 12th Biennial IEEE Conference - Miami, Florida: Institute of Electrical and Electronics Engineers (IEEE), 2006. - pp. 258

Ostrowski, Joerg Marc; Andjelić, Zoran; Bebendorf, Mario; Cranganu-Cretu, B.; Smajić, Jasmin
Fast BEM-solution of Laplace problems with H-matrices and ACA
in IEEE Transactions on Magnetics vol. 42 (2006) issue 4. - pp. 627-630
doi:10.1109/TMAG.2006.871642 ...

Smajić, Jasmin; Cranganu-Cretu, B.; Andjelić, Zoran; Bebendorf, Mario
Fast multipole algorithm versus ACA in computational electromagnetics
IABEM 2006 conference : Book of abstracts - Graz, Österreich: Universität Graz, 2006. - pp. 251-254

2005

Bebendorf, Mario
Efficient inversion of Galerkin matrix of general second-order elliptic operators with nonsmooth coefficients
in Mathematics of Computation vol. 74 (2005) . - pp. 1179-1199
doi:10.1090/S0025-5718-04-01716-8 ...

Ostrowski, Joerg Marc; Andjelić, Zoran; Crânganu-Cretu, Bogdan; Bebendorf, Mario; Smajić, Jasmin
Fast BEM-Solution of Laplace problems with H-matrices and ACA
Proceedings of the IEEE Compumag Conference 2005 - Shenyang, China: Institute of Electrical and Electronics Engineers (IEEE), 2005

Bebendorf, Mario; Kriemann, R.
Fast parallel solution of boundary integral equations and related problems
in Computing and Visualization in Science vol. 8 (2005) issue 3-4. - pp. 121-135
doi:10.1007/s00791-005-0001-x ...

Bebendorf, Mario
Hierarchical LU decomposition-based preconditioners for BEM
in Computing vol. 74 (2005) issue 3. - pp. 225-247
doi:10.1007/s00607-004-0099-6 ...

2003

Bebendorf, Mario; Rjasanow, S.
Adaptive low-rank approximation of collocation matrices
in Computing vol. 70 (2003) issue 1. - pp. 1-24
doi:10.1007/s00607-002-1469-6 ...

Bebendorf, Mario; Hackbusch, Wolfgang
Existence of H-matrix approximants to the inverse FE-matrix of elliptic operators with L-coefficients
in Numerische Mathematik vol. 95 (2003) issue 1. - pp. 1-28
doi:10.1007/s00211-002-0445-6 ...

Bebendorf, Mario; Hackbusch, Wolfgang
Low-rank approximation of FE matrix inverses for operators with jumping coefficients
in Proceedings in Applied Mathematics and Mechanics vol. 2 (2003) issue 1. - pp. 25-28
doi:10.1002/pamm.200310007 ...

Bebendorf, Mario
A note on the Poincaré inequality for convex domains
in Zeitschrift für Analysis und ihre Anwendungen vol. 22 (2003) issue 4. - pp. 751-756
doi:10.4171/ZAA/1170 ...

Bebendorf, Mario; Rjasanow, S.
Numerical Simulation of Exhaust Systems in Car Industry : Efficient Calculation of Radiation Heat Transfer
Jäger, Willi ; Krebs, Hans-Joachim (Hrsg.): Mathematics - Key Technology for the Future - Berlin: Springer, 2003. - pp. 55-62
doi:10.1007/978-3-642-55753-8_5 ...

2001

Bebendorf, Mario
Effiziente numerische Lösung von Randintegralgleichungen unter Verwendung von Niedrigrang-Matrizen
Berlin, dissertation.de, 2001. - II, 119 pp.
(thesis, 2000, Universität Saarbrücken)

2000

Bebendorf, Mario
Approximation of boundary element matrices
in Numerische Mathematik vol. 86 (2000) issue 4. - pp. 565-589
doi:10.1007/PL00005410 ...

Bebendorf, Mario; Rjasanow, S.; Tyrtyshnikov, E. E.
Approximation using diagonal-plus-skeleton matrices
Bonnet, Marc ; Sändig, Anna-Margarete ; Wendland, Wolfgang L. (Hrsg.): Mathematical aspects of boundary element methods - Boca Raton, FL, USA: Chapman & Hall/CRC, 2000. - pp. 45-52 . - (Chapman & Hall CRC Research Notes in Mathematics Series; 414)

Bebendorf, Mario; Rjasanow, S.
Matrix Compression for the Radiation Heat Transfer in Exhaust Pipes
Sändig, Anna-Margarete ; Schiehlen, Werner ; Wendland, Wolfgang L. (Hrsg.): Multifield Problems : State of the Art - Berlin: Springer, 2000. - pp. 183-192
doi:10.1007/978-3-662-04015-7_20 ...

1996

Bakema, Jos; Bebendorf, Mario; Laitinen, Mika; Pessl, Günther; Stefanidis, Vassilios
Solder spreading
Proceedings of the 1995 ECMI Modelling Week in Glasgow - Glasgow: University of Strathclyde, 1996. - pp. 4-14

Univ.-Prof. Dr. Mario Bebendorf

Faculty of mathematics, physics & computer science
Chair of Scientific Computing


Univ.-Prof. Dr. Mario Bebendorf
Chairholder

Office: FAN C, 0.41

Phone: 0921-55 7150
E-mail: mario.bebendorf@uni-bayreuth.de
Google Scholar: Citations

Webmaster: Massimo Pinzer-Braese

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