0618078 20250320135743.720250317235959.9 85213227706 001412041300001 10.1016/j.camwa.2024.12.017 22 s. P cav_un_epca*02525590898-12211801 (2025)144-165Elsevier Finite elements Primal hybrid method Elliptic problem Parabolic problem Vectorization MATLAB cav_un_auth*0485040 Mallesham H. N. IN cav_un_auth*0485041 Porwal K. IN cav_un_auth*0292941 Valdman Jan UTIA-B Matematická teorie rozhodování Department of Decision Making Theory MTR MTR Department of Decision Making Theory Ústav teorie informace a automatizace AV ČR, v. v. i. cav_un_auth*0485042 Acharya S. K. IN https://library.utia.cas.cz/separaty/2025/MTR/valdman-0618078.pdf https://www.sciencedirect.com/science/article/pii/S0898122124005625?via%3Dihub GA23-04766S GA ČR CZ cav_un_auth*0459138 We present efficient MATLAB implementations of the lowest-order primal hybrid finite element method (FEM) for linear second-order elliptic and parabolic problems with mixed boundary conditions in two spatial dimensions. We employ backward Euler and the Crank-Nicolson finite difference scheme for the complete discrete setup of the parabolic problem. All the codes presented are fully vectorized using matrix-wise array operations. Numerical experiments are conducted to show the performance of the software. 2026 BA WOS 10000 10100 10102 RVO:67985556 https://hdl.handle.net/11104/0364932 S C MATHEMATICS.APPLIED 2.5 0.6 10.8 0.01185 0.733 18354 159 0.951 41.75 2.74 3488 Q1 2.300 425 Q1 88.8 1.61 Q1 88.8 2025 85213227706 SCOPUS PUBMED 001412041300001 WOS cav_un_epca*0252559 Computers & Mathematics With Applications Roč. 180 č. 1 2025 144 165 0898-1221 1873-7668 Elsevier