Variable order panel clustering
type: Item
instance of: scholarly article
title: Variable order panel clustering
zbMATH Open document ID: 0959.65135
published in: Computing
publication date: 2001-04-18T00:00:00Z
review text: The author describes a new version of the panel clustering method for sparse representations of boundary integral operators. Instead of applying the clustering separately for each matrix row as in the classical panel clustering method it is applied to more general block partitionings. The variable order panel clustering is studied for the Galerkin discretization of the double layer potential over a sufficiently smooth manifold in \(\mathbb R^3\). By using variable approximation orders of the kernel function depending on the size of blocks it is shown that the complexity of the method depends only linearly on the number of unknowns.
reviewed by: Gunther Schmidt
Mathematics Subject Classification ID: 65N38
Mathematics Subject Classification ID: 35J25
Mathematics Subject Classification ID: 65Y20
zbMATH DE Number: 1501439
zbMATH Keywords: panel clustering method
zbMATH Keywords: variable order approximation
zbMATH Keywords: boundary integral equations
zbMATH Keywords: Galerkin discretization
zbMATH Keywords: double layer potential
Wikidata QID: Q60060397
author: S. Sauter
MaRDI profile type: Publication
full work available at URL: s006070050045
OpenAlex ID: W2001613017
DOI: 10.1007/S006070050045
DBLP publication ID: journals/computing/Sauter00
description: scientific article; zbMATH DE number 1501439