22 citations · 54 across the 6 of their papers we have counts for
7 papers
On efficient block Krylov-solvers for -matrices
Sven Christophersen
Hierarchical matrices provide a highly memory-efficient way of storing dense linear operators arising, for example, from boundary element methods, particularly when stored in the H…
Semi-Automatic Task Graph Construction for -Matrix Arithmetic
Steffen Börm, Sven Christophersen, Ronald Kriemann
A new method to construct task graphs for \mcH-matrix arithmetic is introduced, which uses the information associated with all tasks of the standard recursive \mcH-matrix algorithm…
Exploiting nested task-parallelism in the factorization
Rocío Carratalá-Sáez, Sven Christophersen, José I. Aliaga +3
We address the parallelization of the LU factorization of hierarchical matrices (-matrices) arising from boundary element methods. Our approach exploits task-paralleli…
Large-scale magnetostatic field calculation in finite element micromagnetics with H2-matrices
Riccardo Hertel, Sven Christophersen, Steffen Börm
Magnetostatic field calculations in micromagnetic simulations can be numerically expensive, particularly in the case of large-scale finite element simulations. The established fini…
GCA- matrix compression for electrostatic simulations
Steffen Börm, Sven Christophersen
We consider a compression method for boundary element matrices arising in the context of the computation of electrostatic fields. Green cross approximation combines an analytic app…
Approximation of boundary element matrices using GPGPUs and nested cross approximation
Steffen Börm, Sven Christophersen
The efficiency of boundary element methods depends crucially on the time required for setting up the stiffness matrix. The far-field part of the matrix can be approximated by compr…
Approximation of integral operators by Green quadrature and nested cross approximation
Steffen Börm, Sven Christophersen
We present a fast algorithm that constructs a data-sparse approximation of matrices arising in the context of integral equation methods for elliptic partial differential equations.…