1 citations · 1 across the 6 of their papers we have counts for
6 papers
Fractional Laplacian - Quadrature rules for singular double integrals in 3D
Bernd Feist, Mario Bebendorf
In this article, quadrature rules for the efficient computation of the stiffness matrix for the fractional Laplacian in three dimensions are presented. These rules are based on the…
Adaptive -Matrix Computations in Linear Elasticity
Maximilian Bauer, Mario Bebendorf
This article deals with the adaptive and approximative computation of the Lamé equations. The equations of linear elasticity are considered as boundary integral equations and solve…
Kernel-independent adaptive construction of -matrix approximations
M. Bauer, M. Bebendorf, B. Feist
A method for the kernel-independent construction of -matrix approximations to non-local operators is proposed. Special attention is paid to the adaptive construction…
Block-adaptive Cross Approximation of Discrete Integral Operators
M. Bauer, M. Bebendorf
In this article we extend the adaptive cross approximation (ACA) method known for the efficient approximation of discretisations of integral operators to a block-adaptive version.…
Low-rank approximation of elliptic boundary value problems with high-contrast coefficients
M. Bebendorf
We analyze the convergence of degenerate approximations to Green's function of elliptic boundary value problems with high-contrast coefficients. It is shown that the convergence is…
Comparison of some Reduced Representation Approximations
Mario Bebendorf, Yvon Maday, Benjamin Stamm
In the field of numerical approximation, specialists considering highly complex problems have recently proposed various ways to simplify their underlying problems. In this field, d…