A nonconforming combination for solving elliptic problems with interfaces
type: Item
instance of: scholarly article
title: A nonconforming combination for solving elliptic problems with interfaces
zbMATH Open document ID: 0694.65053
DOI: 10.1016/0021-9991(89)90101-0
author: N. E. Zubov
published in: Journal of Computational Physics
publication date: 1989-01-01T00:00:00Z
review text: The author solves a two-dimensional interface problem for the equation \(- \Delta u+u=0\) with only one singular point on the dividing line. Near the singular point he uses the Ritz-Galerkin method with particular solutions of the interface problem as admissible functions. On the rest subdomain the ordinary finite element method is used. An error estimate is obtained and the results of a numerical experiment are given.
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 65N15
Mathematics Subject Classification ID: 35J25
zbMATH DE Number: 4137277
zbMATH Keywords: interface problem
zbMATH Keywords: singular point
zbMATH Keywords: Ritz-Galerkin method
zbMATH Keywords: finite element method
zbMATH Keywords: error estimate
zbMATH Keywords: numerical experiment
MaRDI profile type: Publication
full work available at URL: 0021-9991(89)90101-0
OpenAlex ID: W1975490803
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description: scientific article; zbMATH DE number 4137277