New boundary element formulas for the biharmonic equation
type: Item
instance of: scholarly article
title: New boundary element formulas for the biharmonic equation
zbMATH Open document ID: 0957.31003
DOI: 10.1023/A:1018985322648
author: Youngmok Jeon
published in: Advances in Computational Mathematics
publication date: 2000-09-07T00:00:00Z
review text: The paper is devoted to the Dirichlet problem of the biharmonic equation on a plane domain with a smooth boundary. The author proposes two new boundary integral equation formulas for this problem. The formulas are based on a new fundamental solution that is dependent on the domain. This method leads to scalar integral equations instead of a non-symmetric matrix system of integral equations. The ellipticity and solvability of these new formulas are studied. Numerical experiments for simple Galerkin methods are also provided.
reviewed by: Dagmar Medková
Mathematics Subject Classification ID: 31A10
Mathematics Subject Classification ID: 31A30
Mathematics Subject Classification ID: 35A08
zbMATH DE Number: 1279277
zbMATH Keywords: biharmonic equation
zbMATH Keywords: Dirichlet problem
zbMATH Keywords: boundary integral equation
zbMATH Keywords: Galerkin method
MaRDI profile type: Publication
full work available at URL: a:1018985322648
OpenAlex ID: W134458341
description: scientific article; zbMATH DE number 1279277