On the fast matrix multiplication in the boundary element method by panel clustering
type: Item
instance of: scholarly article
title: On the fast matrix multiplication in the boundary element method by panel clustering
zbMATH Open document ID: 0641.65038
DOI: 10.1007/BF01396324
published in: Numerische Mathematik
publication date: 1989-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/133328
review text: The boundary element method leads to a system of linear equations with a full matrix, while the finite element method yields sparse matrices. This fact seems to require much computational work for the definition of the matrix, for the solution of the system, and, in particular, for the matrix-vector multiplication, which always occurs as an elementary operation. In this paper a method for the approximate matrix-vector multiplication is described which requires much less arithmetical work. In addition, the storage requirements are strongly reduced.
Mathematics Subject Classification ID: 65F30
Mathematics Subject Classification ID: 65N35
Mathematics Subject Classification ID: 65R20
zbMATH DE Number: 4045024
zbMATH Keywords: fast matrix multiplication
zbMATH Keywords: panel clustering
zbMATH Keywords: boundary element method
zbMATH Keywords: matrix-vector multiplication
zbMATH Keywords: storage requirements
zbMATH Keywords: panel method
author: Wolfgang Hackbusch
author: Zenon Nowak
MaRDI profile type: Publication
cites work: Q4040837
cites work: Q3727300
cites work: Q3750065
cites work: Q3790803
cites work: Q3731213
cites work: Q3049321
cites work: Q3823917
cites work: Rapid solution of integral equations of classical potential theory
OpenAlex ID: W1989056711
Recommended article: Panel clustering method and restriction matrices for symmetric Galerkin BEM
Recommended article: Fast decomposition of matrices generated by the boundary element method
Recommended article: Q3126688
Recommended article: A fast boundary element method for the solution of periodic many-inclusion problems via hierarchical matrix techniques
Recommended article: Adaptive Galerkin boundary element methods with panel clustering
Recommended article: Q4694034
Recommended article: Q4370991
Recommended article: Parallelization of the inverse fast multipole method with an application to boundary element method
Recommended article: Q3123942
description: scientific article; zbMATH DE number 4045024