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 Citations (Scopus)

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
EditorsRalf Kornhuber, Olivier Pironneau, Ronald Hoppe, Jacques P eriaux, Jinchao Xu, Olof Widlund
Pages459-468
Number of pages10
StatePublished - Dec 1 2005

Publication series

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

Fingerprint

Adaptive Finite Element Method
Convection
Grid
Finite element method
Experiments
Numerical Experiment
Finite Element

All Science Journal Classification (ASJC) codes

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

Cite this

Chen, L., Sun, P., & Xu, J. (2005). Multilevel homotopic adaptive finite element methods for convection dominated problems. In R. Kornhuber, O. Pironneau, R. Hoppe, J. P eriaux, J. Xu, & O. Widlund (Eds.), Domain Decomposition Methods in Scienceand Engineering (pp. 459-468). (Lecture Notes in Computational Science and Engineering; Vol. 40).
Chen, Long ; Sun, Pengtao ; Xu, Jinchao. / Multilevel homotopic adaptive finite element methods for convection dominated problems. Domain Decomposition Methods in Scienceand Engineering. editor / Ralf Kornhuber ; Olivier Pironneau ; Ronald Hoppe ; Jacques P eriaux ; Jinchao Xu ; Olof Widlund. 2005. pp. 459-468 (Lecture Notes in Computational Science and Engineering).
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Chen, L, Sun, P & Xu, J 2005, Multilevel homotopic adaptive finite element methods for convection dominated problems. in R Kornhuber, O Pironneau, R Hoppe, J P eriaux, J Xu & O Widlund (eds), Domain Decomposition Methods in Scienceand Engineering. Lecture Notes in Computational Science and Engineering, vol. 40, pp. 459-468.

Multilevel homotopic adaptive finite element methods for convection dominated problems. / Chen, Long; Sun, Pengtao; Xu, Jinchao.

Domain Decomposition Methods in Scienceand Engineering. ed. / Ralf Kornhuber; Olivier Pironneau; Ronald Hoppe; Jacques P eriaux; Jinchao Xu; Olof Widlund. 2005. p. 459-468 (Lecture Notes in Computational Science and Engineering; Vol. 40).

Research output: Chapter in Book/Report/Conference proceedingChapter

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Chen L, Sun P, Xu J. Multilevel homotopic adaptive finite element methods for convection dominated problems. In Kornhuber R, Pironneau O, Hoppe R, P eriaux J, Xu J, Widlund O, editors, Domain Decomposition Methods in Scienceand Engineering. 2005. p. 459-468. (Lecture Notes in Computational Science and Engineering).