Improved impedance conditions for a thin layer problem in a nonsmooth domain |
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Authors: | Alexis Auvray Grgory Vial |
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Institution: | Alexis Auvray,Grégory Vial |
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Abstract: | In this article, we consider the model problem of the Laplace equation in a domain with a thin layer on a part of its boundary. The singularities appearing where boundary conditions change deteriorate the efficiency of the classical impedance condition used to replace the layer. Modified impedance conditions are proposed, which lead to some improvements in the error estimates. |
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Keywords: | asymptotic analysis (PDE) numerical analysis |
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