Vectorized 3D mesh refinement and implementation of primal hybrid FEM in MATLAB
Numerical Analysis
2025-09-16 v1 Numerical Analysis
Abstract
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.
Cite
@article{arxiv.2509.11133,
title = {Vectorized 3D mesh refinement and implementation of primal hybrid FEM in MATLAB},
author = {Harish Nagula Mallesham and Sharat Gaddam and Jan Valdman and Sanjib Kumar Acharya},
journal= {arXiv preprint arXiv:2509.11133},
year = {2025}
}