A two-grid method for solving elliptic problems with inhomogeneous boundary conditions
type: Item
instance of: scholarly article
title: A two-grid method for solving elliptic problems with inhomogeneous boundary conditions
zbMATH Open document ID: 0824.65107
DOI: 10.1016/0898-1221(95)00007-L
author: D. M. Bedivan
publication date: 1995-11-13T00:00:00Z
review text: The author suggests a Galerkin finite element method using a two-grid technique for solving elliptic problems with inhomogeneous essential boundary conditions. The function at the boundary is approximated by a projection of the given data on a finite-dimensional space. A two-grid method is used in the interior for solving the algebraic system. An analysis of the \(L^ 2\)-error is made. Sample computations for an illustrative problem are given.
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 65N55
Mathematics Subject Classification ID: 65N15
Mathematics Subject Classification ID: 35J25
zbMATH DE Number: 746279
zbMATH Keywords: multigrid method
zbMATH Keywords: numerical example
zbMATH Keywords: error bounds
zbMATH Keywords: Galerkin finite element method
zbMATH Keywords: elliptic problems
zbMATH Keywords: inhomogeneous essential boundary conditions
zbMATH Keywords: two-grid method
reviewed by: K. T. S. Iyengar
MaRDI profile type: Publication
cites work: Q3709786
cites work: Q3994952
cites work: On finite element approximations of problems having inhomogeneous essential boundary conditions
cites work: Q4283086
published in: Computers & Mathematics with Applications
description: scientific article; zbMATH DE number 746279