Mario Bebendorf

According to our database, Mario Bebendorf authored at least 22 papers between 2000 and 2023.

Collaborative distances:

• Dijkstra number of five.
• Erdős number of four.

2023

Fractional Laplacian - Quadrature Rules for Singular Double Integrals in 3D.

Bernd Feist, Mario Bebendorf

Comput. Methods Appl. Math., July, 2023

2022

Kernel-independent adaptive construction of ℋ²-matrix approximations.

Maximilian Bauer, Mario Bebendorf, Bernd Feist

Numerische Mathematik, 2022

Hierarchical-matrix method for a class of diffusion-dominated partial integro-differential equations.

Duncan Kioi Gathungu, Mario Bebendorf, Alfio Borzì

Numer. Linear Algebra Appl., 2022

Adaptive H-Matrix Computations in Linear Elasticity.

Maximilian Bauer, Mario Bebendorf

CoRR, 2022

2021

Block-Adaptive Cross Approximation of Discrete Integral Operators.

Maximilian Bauer, Mario Bebendorf

Comput. Methods Appl. Math., 2021

2016

Low-Rank Approximation of Elliptic Boundary Value Problems with High-Contrast Coefficients.

Mario Bebendorf

SIAM J. Math. Anal., 2016

On the spectral equivalence of hierarchical matrix preconditioners for elliptic problems.

Mario Bebendorf, Matthias Bollhöfer, M. Bratsch

Math. Comput., 2016

2015

Wideband nested cross approximation for Helmholtz problems.

Mario Bebendorf, Christian Kuske, Raoul Venn

Numerische Mathematik, 2015

2014

Separation of Variables for Function Generated High-Order Tensors.

Mario Bebendorf, Christian Kuske

J. Sci. Comput., 2014

2013

Hierarchical Matrix Preconditioning for Low-Frequency-Full-Maxwell Simulations.

Mario Bebendorf, Florian Kramer

Proc. IEEE, 2013

2012

Constructing nested bases approximations from the entries of non-local operators.

Mario Bebendorf, Raoul Venn

Numerische Mathematik, 2012

2011

On the purely algebraic data-sparse approximation of the inverse and the triangular factors of sparse matrices.

Mario Bebendorf, T. Fischer

Numer. Linear Algebra Appl., 2011

2008

Hierarchical Matrices - A Means to Efficiently Solve Elliptic Boundary Value Problems.

Mario Bebendorf

Lecture Notes in Computational Science and Engineering 63, Springer, ISBN: 978-3-540-77147-0, 2008

2007

Why Finite Element Discretizations Can Be Factored by Triangular Hierarchical Matrices.

Mario Bebendorf

SIAM J. Numer. Anal., 2007

Stabilized rounded addition of hierarchical matrices.

Mario Bebendorf, Wolfgang Hackbusch

Numer. Linear Algebra Appl., 2007

Efficient solution of nonlinear elliptic problems using hierarchical matrices with Broyden updates.

Mario Bebendorf, Y. Chen

Computing, 2007

2006

Approximate Inverse Preconditioning of Finite Element Discretizations of Elliptic Operators with Nonsmooth Coefficients.

Mario Bebendorf

SIAM J. Matrix Anal. Appl., 2006

2005

Efficient inversion of the Galerkin matrix of general second-order elliptic operators with nonsmooth coefficients.

Mario Bebendorf

Math. Comput., 2005

Hierarchical LU Decomposition-based Preconditioners for BEM.

Mario Bebendorf

Computing, 2005

2003

Existence of ℋ-matrix approximants to the inverse FE-matrix of elliptic operators with L^∞-coefficients.

Mario Bebendorf, Wolfgang Hackbusch

Numerische Mathematik, 2003

Adaptive Low-Rank Approximation of Collocation Matrices.

Mario Bebendorf, Sergej Rjasanow

Computing, 2003

2000

Approximation of boundary element matrices.

Mario Bebendorf

Numerische Mathematik, 2000