Successive overrelaxation method with projection for finite element solutions of nonlinear radiation cooling problems
type: Item
instance of: scholarly article
title: Successive overrelaxation method with projection for finite element solutions of nonlinear radiation cooling problems
zbMATH Open document ID: 0613.65114
DOI: 10.1007/BF02240177
author: Kazuo Ishihara
published in: Computing
publication date: 1987-01-01T00:00:00Z
review text: We consider the successive overrelaxation method with projection for obtaining the finite element solutions under the nonlinear radiation boundary conditions. In particular we establish the convergence of the successive overrelaxation method with projection. Some numerical results are also given to illustrate the usefulness.
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 65F10
Mathematics Subject Classification ID: 35J65
zbMATH DE Number: 3992873
zbMATH Keywords: nonlinear boundary conditions
zbMATH Keywords: nonlinear radiation cooling problem
zbMATH Keywords: successive overrelaxation method with projection
zbMATH Keywords: finite element
zbMATH Keywords: convergence
zbMATH Keywords: numerical results
MaRDI profile type: Publication
cites work: Q3858773
cites work: Nonlinear successive over-relaxation
cites work: Global convergence of nonlinear successive overrelaxation via linear theory
cites work: Discrete maximum principle for finite-difference operators
cites work: Q3949869
cites work: Maximum principle and uniform convergence for the finite element method
cites work: Generalized radiation cooling of a convex solid
cites work: Numerical Solution of the Minimal Surface Equation
cites work: Numerical solution of the nonlinear magnetostatic-field equation in two dimensions
cites work: The Solution of a Quadratic Programming Problem Using Systematic Overrelaxation
cites work: Q3321366
cites work: Analyse numérique du champ magnetique d'un alternateur par éléments finis et sur-relaxation ponctuelle non linéaire
cites work: Q5584384
cites work: Finite element solutions for radiation cooling problems with nonlinear boundary conditions
cites work: Q5522539
cites work: Q5652137
cites work: Nonlinear Difference Equations and Gauss-Seidel Type Iterative Methods
cites work: Iteration Methods for Nonlinear Problems
cites work: Q5342712
cites work: Q3713532
description: scientific article; zbMATH DE number 3992873