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arXiv · 2509.11133

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

Harish Nagula Mallesham·Sharat Gaddam·Jan Valdman·Sanjib Kumar Acharya
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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.

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Harish Nagula Mallesham, Sharat Gaddam, Jan Valdman, Sanjib Kumar Acharya. 2025-09-14. Vectorized 3D mesh refinement and implementation of primal hybrid FEM in MATLAB. https://arxiv.org/abs/2509.11133

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