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Error bounds for a fictitious domain method with Lagrange multiplier treatment on the boundary for a Dirichlet problem

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Abstract

In this article we obtain discrete inf-sup conditions and error bounds for a fictitious domain with Lagrange multiplier treatment for the boundary condition on the curved boundary to an elliptic Dirichlet problem with conforming finite elements of degree one on a uniform mesh.

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Authors and Affiliations

  1. Department of Mathematic, University of Houston, TX 77204, Houston, USA

    Tsorng-Whay Pan

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  1. Tsorng-Whay Pan
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Pan, TW. Error bounds for a fictitious domain method with Lagrange multiplier treatment on the boundary for a Dirichlet problem. Japan J. Indust. Appl. Math. 15, 75–85 (1998). https://doi.org/10.1007/BF03167397

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  • DOI: https://doi.org/10.1007/BF03167397

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