Multilevel homotopic adaptive finite element methods for convection dominated problems

Long Chen, Pengtao Sun, Jinchao Xu

Research output: Chapter in Book/Report/Conference proceedingChapter

6 Scopus citations

Abstract

A multilevel homotopic adaptive finite element method is presented in this paper for convection dominated problems. By the homotopic method with respect to the diffusion parameter, the grids are iteratively adapted to better approximate the solution. Some new theoretic results and practical techniques for the grid adaptation are presented. Numerical experiments show that a standard finite element scheme based on this properly adapted grid works in a robust and efficient manner.

Original languageEnglish (US)
Title of host publicationDomain Decomposition Methods in Scienceand Engineering
PublisherSpringer Verlag
Pages459-468
Number of pages10
ISBN (Print)3540225234, 9783540225232
DOIs
StatePublished - 2005

Publication series

NameLecture Notes in Computational Science and Engineering
Volume40
ISSN (Print)1439-7358

All Science Journal Classification (ASJC) codes

  • Modeling and Simulation
  • Engineering(all)
  • Discrete Mathematics and Combinatorics
  • Control and Optimization
  • Computational Mathematics

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