Discretized obstacle problems with penalties on nested grids
type: Item
instance of: scholarly article
title: Discretized obstacle problems with penalties on nested grids
zbMATH Open document ID: 0942.65072
DOI: 10.1016/S0168-9274(99)00014-8
author: Baba Imoro
published in: Applied Numerical Mathematics
publication date: 2000-08-02T00:00:00Z
review text: The author proposes a nested iterative scheme for solving obstacle problems with constraints, in which the constraints are handled by penalties. At each step of the iteration, the penalty parameter is chosen according to the discretization parameter. The scheme may be considered as cascade, however, which is not like in partial differential equations but in which the penalty parameter is changed from one discretization level to the next one. Four numerical examples are presented for the elastic-plastic torsion problem and the obstacle problem for a membrane.
reviewed by: Yu Wenhuan
Mathematics Subject Classification ID: 65K10
Mathematics Subject Classification ID: 74K15
Mathematics Subject Classification ID: 74C05
Mathematics Subject Classification ID: 49J40
zbMATH DE Number: 1399547
zbMATH Keywords: obstacle problem
zbMATH Keywords: variational inequality
zbMATH Keywords: penalty method
zbMATH Keywords: nested iteration
zbMATH Keywords: numerical examples
zbMATH Keywords: elastic-plastic torsion problem
zbMATH Keywords: membrane
MaRDI profile type: Publication
full work available at URL: s0168-9274(99)00014-8
OpenAlex ID: W2028161456
description: scientific article; zbMATH DE number 1399547