Multilevel homotopic adaptive finite element methods for convection dominated problems

Long Chen, Pengtao Sun, Jinchao Xu

Research output: Contribution to journalArticlepeer-review

6 Scopus citations


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)
Pages (from-to)459-468
Number of pages10
JournalLecture Notes in Computational Science and Engineering
StatePublished - Jan 1 2005
Externally publishedYes

ASJC Scopus subject areas

  • General Engineering
  • Modeling and Simulation
  • Computational Mathematics
  • Discrete Mathematics and Combinatorics
  • Control and Optimization


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