Code: 06/2021
Title: A diffuse interface box method for elliptic problems
Date: Wednesday 27th January 2021
Author(s) : Negrini, G.; Parolini, N.; Verani, M.
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Abstract: We introduce a diffuse interface box method (DIBM) for the numerical approximation on complex geometries of elliptic problems with Dirichlet boundary conditions. We derive a priori H1 and L2 error estimates highlighting the role of the mesh discretization parameter and of the diffuse interface width. Finally, we present a numerical result assessing the theoretical findings.

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Applied Mathematics Letters