Bibliografie

Journal Article

Vectorized implementation of primal hybrid FEM in MATLAB

Mallesham H. N., Porwal K., Valdman Jan, Acharya S. K.

: Computers & Mathematics With Applications vol.180, 1 (2025), p. 144-165

: GA23-04766S, GA ČR

: Finite elements, Primal hybrid method, Elliptic problem, Parabolic problem, Vectorization, MATLAB

: 10.1016/j.camwa.2024.12.017

: https://library.utia.cas.cz/separaty/2025/MTR/valdman-0618078.pdf

: https://www.sciencedirect.com/science/article/pii/S0898122124005625?via%3Dihub

(eng): 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.

: BA

: 10102