Adaptive remeshing and h-p domain decomposition

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Abstract

The h-p version of the finite element method combines local mesh refinement with an increase of the shape functions' polynomial degree. This paper presents a method which uses an h-p-approximation for a domain decomposition with fully overlapping domains, allowing C0-continuous approximation for geometrically incompatible mesh refinement to be obtained. The method is applied to a reaction-diffusion problem resulting from semiconductor process simulation. In numerical examples, it is demonstrated that this approach is well suited for problems with sharp interior layers or shock-like behaviour.

Original languageEnglish
Pages (from-to)299-313
Number of pages15
JournalComputer Methods in Applied Mechanics and Engineering
Volume101
Issue number1-3
DOIs
StatePublished - Dec 1992
Externally publishedYes

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