Team > Univ.-Prof. Dr. Mario Bebendorf

2024

Bauer, Maximilian; Bebendorf, Mario
Adaptive H-matrix computations in linear elasticity
in Applied Numerical Mathematics volume 201 (2024) . - page 1-19
doi:10.15495/EPub_UBT_00008010 ...

2023

Feist, Bernd; Bebendorf, Mario
Fractional Laplacian – Quadrature Rules for Singular Double Integrals in 3D
in Computational Methods in Applied Mathematics volume 23 (2023) issue 3. - page 623-645
doi:10.1515/cmam-2022-0159 ...

2022

Gathungu, Duncan; Bebendorf, Mario; Borzì, Alfio
Hierarchical-matrix method for a class of diffusion-dominated partial integro-differential equa ...
in Numerical Linear Algebra with Applications volume 29 (2022) issue 1
doi:10.1002/nla.2410 ...

Bauer, Maximilian; Bebendorf, Mario; Feist, Bernd
Kernel-independent adaptive construction of H²-matrix approximations
in Numerische Mathematik volume 150 (2022) issue 1. - page 1-32
doi:10.1007/s00211-021-01255-y ...

2021

Bauer, Maximilian; Bebendorf, Mario
Block-adaptive Cross Approximation of Discrete Integral Operators
in Computational Methods in Applied Mathematics volume 21 (2021) issue 1. - page 13-29
doi:10.1515/cmam-2019-0085 ...

2020

Bauer, Maximilian; Bebendorf, Mario; Feist, Bernd
Kernel-independent adaptive construction of H²-matrix approximations
Bayreuth, 2020. - 24 page
https://arxiv.org/pdf/2006.01556.pdf

2019

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

Feist, Bernd; Bebendorf, Mario
Fractional Laplacian : Approximation of the Dense FEM Stiffness matrix 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 volume 48 (2016) issue 2. - page 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 volume 85 (2016) issue 302. - page 2839-2861
doi:10.1090/mcom/3086 ...

2015

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

2014

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. - page 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 Configuratio ...
Griebel, Michael (Hrsg.): Singular Phenomena and Scaling in Mathematical Models
Springer : Basel, 2014. - page 413-434
doi:10.1007/978-3-319-00786-1_18 ...

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

2013

Bebendorf, Mario; Hardesty, Sean
Adaptive cross approximation of tensors arising in the discretization of boundary integral oper ...
in Engineering Analysis with Boundary Elements volume 37 (2013) issue 1. - page 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 volume 74 (2013) . - page 1-16
doi:10.1016/j.apnum.2013.08.001 ...

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

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

Bebendorf, Mario
Wideband nested cross approximation for Helmholtz problems
Oberwolfach reports, Vol. 10,1
Oberwolfach , 2013. - page 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 volume 121 (2012) issue 4. - page 609-635
doi:10.1007/s00211-012-0449-9 ...

2011

Bebendorf, Mario
Adaptive Cross Approximation of Multivariate Functions
in Constructive Approximation volume 34 (2011) issue 2. - page 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 ...
in Numerical Linear Algebra with Applications volume 18 (2011) issue 1. - page 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 volume 58 (2010) issue 2. - page 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
Modelling of incremental forming processes : Final report of the DFG priority programme SPP 1146
Aachen : Shaker Verlag, 2010. - page 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 volume 46 (2010) issue 8. - page 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. - page 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. - page 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 volume 27 (2009) issue 5. - page 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 volume 21 (2009) issue 3. - page 331-357
doi:10.1216/JIE-2009-21-3-331 ...

2008

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

2008

Bebendorf, Mario
Hierarchical Matrices: A Means to Efficiently Solve Elliptic Boundary Value Problems
Berlin : Springer, 2008. - 290 page . - (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. - page 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 upda ...
in Computing volume 81 (2007) issue 4. - page 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 volume 43 (2007) issue 4. - page 1269-1272
doi:10.1109/TMAG.2006.890971 ...

2007

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

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. - page 1-11

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

Steinmetz, T.; Gödel, N.; Wimmer, G.; Clemens, Markus; Kurz, S.; Bebendorf, Mario; Rjasanow, S.
Symmetric Coupling of the Finite-Element and the Boundary-Element Method for Electro-Quasistati ...
Ciuprina, Gabriela ; Ioan, Daniel (Hrsg.): Scientific Computing in Electrical Engineering
Berlin : Springer, 2007. - page 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 volume 45 (2007) issue 4. - page 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 volume 29 (2006) issue 14. - page 1721-1747
doi:10.1002/mma.759 ...

Bebendorf, Mario
Approximate Inverse Preconditioning of Finite Element Discretizations of Elliptic Operators wit ...
in SIAM Journal on Matrix Analysis and Applications volume 27 (2006) issue 4. - page 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. - page 258

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

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

2005

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

Ostrowski, Joerg Marc; Andjelić, Zoran; Cranganu-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 volume 8 (2005) issue 3-4. - page 121-135
doi:10.1007/s00791-005-0001-x ...

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

2003

Bebendorf, Mario; Rjasanow, S.
Adaptive low-rank approximation of collocation matrices
in Computing volume 70 (2003) issue 1. - page 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-coeffi ...
in Numerische Mathematik volume 95 (2003) issue 1. - page 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 volume 2 (2003) issue 1. - page 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 volume 22 (2003) issue 4. - page 751-756
doi:10.4171/ZAA/1170 ...

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

2001

Bebendorf, Mario
Effiziente numerische Lösung von Randintegralgleichungen unter Verwendung von Niedrigrang-Matri ...
Berlin, dissertation.de, 2001. - II, 119 page
(dissertation, 2000, )

2000

Bebendorf, Mario
Approximation of boundary element matrices
in Numerische Mathematik volume 86 (2000) issue 4. - page 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 : Chapman & Hall/CRC, 2000. - page 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. - page 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. - page 4-14