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Uniform solvability of finite element solutions in approximate domains

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Abstract

Uniform solvability of finite element solutions in approximate domains is studied. An operator that extends functions in finite element spaces to the exact domain is constructed and some estimates in the boundary skin are presented. The extension operator is successfully used to prove uniform solvability in approximate domains for problems subject to slip boundary conditions and so on.

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Authors and Affiliations

  1. Department of Mathematical Sciences, Kyushu University, 81S-8581, Hakozaki, Higashiku, Fukuoka, Japan

    Masahisa Tabata

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  1. Masahisa Tabata
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Correspondence to Masahisa Tabata.

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Tabata, M. Uniform solvability of finite element solutions in approximate domains. Japan J. Indust. Appl. Math. 18, 567–585 (2001). https://doi.org/10.1007/BF03168591

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  • DOI: https://doi.org/10.1007/BF03168591

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