Multilevel homotopic adaptive finite element methods for convection dominated problems

Long Chen; Pengtao Sun; Jinchao Xu

doi:10.1007/3-540-26825-1_47

Multilevel homotopic adaptive finite element methods for convection dominated problems

Long Chen, Pengtao Sun, Jinchao Xu

Research output: Contribution to journal › Article › peer-review

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 language	English (US)
Pages (from-to)	459-468
Number of pages	10
Journal	Lecture Notes in Computational Science and Engineering
Volume	40
DOIs	https://doi.org/10.1007/3-540-26825-1_47
State	Published - Jan 1 2005
Externally published	Yes

ASJC Scopus subject areas

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

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10.1007/3-540-26825-1_47

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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.",

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AB - 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.

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EP - 468

JO - Lecture Notes in Computational Science and Engineering

JF - Lecture Notes in Computational Science and Engineering

ER -

Multilevel homotopic adaptive finite element methods for convection dominated problems

Abstract

ASJC Scopus subject areas

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