Vectorized 3D mesh refinement and implementation of primal hybrid FEM in MATLAB

Fuente: arXiv
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Auteurs principaux: Mallesham, Harish Nagula, Gaddam, Sharat, Valdman, Jan, Acharya, Sanjib Kumar
Format: Preprint
Publié: 2025
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author Mallesham, Harish Nagula
Gaddam, Sharat
Valdman, Jan
Acharya, Sanjib Kumar
author_facet Mallesham, Harish Nagula
Gaddam, Sharat
Valdman, Jan
Acharya, Sanjib Kumar
contents In this article, we introduce a Face-to-Tetrahedron connectivity in MATLAB together with a vectorized 3D uniform mesh refinement technique. We introduce a MATLAB vectorized assembly of 3D lowest-order primal hybrid finite element matrices for a second-order elliptic problem. We introduce a parallel solver and a vectorized Schur complement solver to solve the associated linear problem. The numerical results illustrate the software's runtime performance.
format Preprint
id arxiv_https___arxiv_org_abs_2509_11133
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Vectorized 3D mesh refinement and implementation of primal hybrid FEM in MATLAB
Mallesham, Harish Nagula
Gaddam, Sharat
Valdman, Jan
Acharya, Sanjib Kumar
Numerical Analysis
In this article, we introduce a Face-to-Tetrahedron connectivity in MATLAB together with a vectorized 3D uniform mesh refinement technique. We introduce a MATLAB vectorized assembly of 3D lowest-order primal hybrid finite element matrices for a second-order elliptic problem. We introduce a parallel solver and a vectorized Schur complement solver to solve the associated linear problem. The numerical results illustrate the software's runtime performance.
title Vectorized 3D mesh refinement and implementation of primal hybrid FEM in MATLAB
topic Numerical Analysis
url https://arxiv.org/abs/2509.11133