A diffuse interface box method for elliptic problems

Keywords

Advanced Numerical Methods for Scientific Computing
SC4I/Digitization, Innovation, and Competitiveness of the Production System
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.
This report, or a modified version of it, has been also submitted to, or published on
Applied Mathematics Letters