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 rôle of the mesh discretization parameter and of the diffuse interface width. Finally, we present a numerical result assessing the theoretical findings.

A diffuse interface box method for elliptic problems

Negrini G.;Parolini N.;Verani M.
2021-01-01

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 rôle of the mesh discretization parameter and of the diffuse interface width. Finally, we present a numerical result assessing the theoretical findings.
2021
Box method
Complex geometries
Diffuse interface
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11311/1173835
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