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ORCIDMario Bebendorf
Person information
- affiliation: University of Bayreuth, Department of Mathematics, Germany
- affiliation: University of Bonn, Institute for Numerical Simulation, Germany
- affiliation: Leipzig University, Faculty of Mathematics and Computer Science, Germany
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Books and Theses
- 2008
[b1]Mario Bebendorf:
Hierarchical Matrices - A Means to Efficiently Solve Elliptic Boundary Value Problems. Lecture Notes in Computational Science and Engineering 63, Springer 2008, ISBN 978-3-540-77146-3, pp. i-xvi, 1-296
Journal Articles
- 2023
- [j20]Bernd Feist, Mario Bebendorf:
Fractional Laplacian - Quadrature Rules for Singular Double Integrals in 3D. Comput. Methods Appl. Math. 23(3): 623-646 (2023) - 2022
- [j19]Duncan Kioi Gathungu
, Mario Bebendorf, Alfio Borzì:
Hierarchical-matrix method for a class of diffusion-dominated partial integro-differential equations. Numer. Linear Algebra Appl. 29(1) (2022) - [j18]Maximilian Bauer, Mario Bebendorf, Bernd Feist:
Kernel-independent adaptive construction of ℋ2-matrix approximations. Numerische Mathematik 150(1): 1-32 (2022) - 2021
- [j17]Maximilian Bauer, Mario Bebendorf:
Block-Adaptive Cross Approximation of Discrete Integral Operators. Comput. Methods Appl. Math. 21(1): 13-29 (2021) - 2016
- [j16]Mario Bebendorf, Matthias Bollhöfer, M. Bratsch:
On the spectral equivalence of hierarchical matrix preconditioners for elliptic problems. Math. Comput. 85(302): 2839-2861 (2016) - [j15]Mario Bebendorf:
Low-Rank Approximation of Elliptic Boundary Value Problems with High-Contrast Coefficients. SIAM J. Math. Anal. 48(2): 932-949 (2016) - 2015
- [j14]Mario Bebendorf, Christian Kuske, Raoul Venn:
Wideband nested cross approximation for Helmholtz problems. Numerische Mathematik 130(1): 1-34 (2015) - 2014
- [j13]Mario Bebendorf, Christian Kuske:
Separation of Variables for Function Generated High-Order Tensors. J. Sci. Comput. 61(1): 145-165 (2014) - 2013
- [j12]Mario Bebendorf, Florian Kramer:
Hierarchical Matrix Preconditioning for Low-Frequency-Full-Maxwell Simulations. Proc. IEEE 101(2): 423-433 (2013) - 2012
- [j11]Mario Bebendorf, Raoul Venn:
Constructing nested bases approximations from the entries of non-local operators. Numerische Mathematik 121(4): 609-635 (2012) - 2011
- [j10]Mario Bebendorf, T. Fischer:
On the purely algebraic data-sparse approximation of the inverse and the triangular factors of sparse matrices. Numer. Linear Algebra Appl. 18(1): 105-122 (2011) - 2007
- [j9]Mario Bebendorf, Y. Chen:
Efficient solution of nonlinear elliptic problems using hierarchical matrices with Broyden updates. Computing 81(4): 239-257 (2007) - [j8]Mario Bebendorf, Wolfgang Hackbusch:
Stabilized rounded addition of hierarchical matrices. Numer. Linear Algebra Appl. 14(5): 407-423 (2007) - [j7]Mario Bebendorf:
Why Finite Element Discretizations Can Be Factored by Triangular Hierarchical Matrices. SIAM J. Numer. Anal. 45(4): 1472-1494 (2007) - 2006
- [j6]Mario Bebendorf:
Approximate Inverse Preconditioning of Finite Element Discretizations of Elliptic Operators with Nonsmooth Coefficients. SIAM J. Matrix Anal. Appl. 27(4): 909-929 (2006) - 2005
- [j5]Mario Bebendorf:
Hierarchical LU Decomposition-based Preconditioners for BEM. Computing 74(3): 225-247 (2005) - [j4]Mario Bebendorf:
Efficient inversion of the Galerkin matrix of general second-order elliptic operators with nonsmooth coefficients. Math. Comput. 74(251): 1179-1199 (2005) - 2003
- [j3]Mario Bebendorf, Sergej Rjasanow:
Adaptive Low-Rank Approximation of Collocation Matrices. Computing 70(1): 1-24 (2003) - [j2]Mario Bebendorf, Wolfgang Hackbusch:
Existence of ℋ-matrix approximants to the inverse FE-matrix of elliptic operators with L∞-coefficients. Numerische Mathematik 95(1): 1-28 (2003) - 2000
- [j1]Mario Bebendorf:
Approximation of boundary element matrices. Numerische Mathematik 86(4): 565-589 (2000)
Informal and Other Publications
- 2022
- [i3]Maximilian Bauer, Mario Bebendorf:
Adaptive H-Matrix Computations in Linear Elasticity. CoRR abs/2205.04752 (2022) - [i2]Bernd Feist, Mario Bebendorf:
Fractional Laplacian - Quadrature rules for singular double integrals in 3D. CoRR abs/2208.05714 (2022) - 2020
- [i1]Maximilian Bauer, Mario Bebendorf, Bernd Feist:
Kernel-independent adaptive construction of H2-matrix approximations. CoRR abs/2006.01556 (2020)
Coauthor Index
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