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This is a Quantitative Study study (also classified as: Experimental Study).

October 13, 2025Open Access

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

Key Points

The implementation results in improved runtime performance for solving associated linear problems.
We utilize a vectorized 3D uniform mesh refinement technique for optimized computational efficiency.
A parallel solver alongside a vectorized Schur complement solver is introduced for enhanced problem-solving capabilities.
Numerical results confirm the effectiveness and speed of our MATLAB implementation for primal hybrid FEM.

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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Cite This Study

Mallesham et al. (Sun,) studied this question.

synapsesocial.com/papers/68ecfebf950606aabec09389 https://doi.org/https://doi.org/10.48550/arxiv.2509.11133

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