arXiv Open Access 2021

A diffuse interface box method for elliptic problems

G. Negrini N. Parolini M. Verani

Lihat Sumber

Abstrak

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 $H^1$ and $L^2$ 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.

Topik & Kata Kunci

math.NA

Penulis (3)

G. Negrini

N. Parolini

M. Verani

Format Sitasi

APA MLA BibTeX

Negrini, G., Parolini, N., Verani, M. (2021). A diffuse interface box method for elliptic problems. https://arxiv.org/abs/2101.11339

Akses Cepat

Lihat di Sumber

Informasi Jurnal

Tahun Terbit: 2021
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓