On Finite Element Formulations for the Obstacle Problem - Mixed and Stabilised Methods

Tom Gustafsson, Rolf Stenberg*, Juha Videman

*Corresponding author for this work

Research output: Contribution to journalArticleScientificpeer-review

5 Citations (Scopus)

Abstract

We discuss the differences between the penalty, mixed and stabilised methods for the finite element approximation of the obstacle problem. The theoretical properties of the methods are discussed and illustrated through numerical examples.

Original languageEnglish
Pages (from-to)413-429
Number of pages17
JournalComputational methods in applied mathematics
Volume17
Issue number3
DOIs
Publication statusPublished - 1 Jul 2017
MoE publication typeA1 Journal article-refereed

Keywords

  • Mixed FEM
  • Obstacle Problem
  • Penalty Method
  • Stabilized FEM

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