Multi-level biharmonic and bi-Helmholtz interpolation with application to the boundary element method
type: Item
instance of: scholarly article
title: Multi-level biharmonic and bi-Helmholtz interpolation with application to the boundary element method
zbMATH Open document ID: 0972.65009
DOI: 10.1016/S0955-7997(00)00036-9
published in: Engineering Analysis with Boundary Elements
publication date: 2001-11-11T00:00:00Z
review text: The interpolation problem reformulated in variational form is applied to the biharmonic and the bi-Helmholtz equations. Existence and uniqueness of the solution are proved in Sobolev spaces. The approximation properties of this interpolation are investigated. A multi-level method is presented which is based on a quadtree/octtree cell system generated by the interpolation points. Some applications to solving partial differential equations are outlined.
reviewed by: Ariadna Lucia Pletea
Mathematics Subject Classification ID: 65D05
Mathematics Subject Classification ID: 35J40
Mathematics Subject Classification ID: 65N38
Mathematics Subject Classification ID: 35J05
zbMATH DE Number: 1559248
zbMATH Keywords: biharmonic equation
zbMATH Keywords: bi-Helmholtz equation
zbMATH Keywords: multi-level
zbMATH Keywords: quadtree
zbMATH Keywords: boundary element method
zbMATH Keywords: multi-level method
zbMATH Keywords: octtree cell system
zbMATH Keywords: quadtree cell system
author: C. Gaspar
MaRDI profile type: Publication
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Wikidata QID: Q127244593
description: scientific article; zbMATH DE number 1559248