Minimization of p-Laplacian via the Finite Element Method in MATLAB
Numerical Analysis
2022-05-12 v2 Numerical Analysis
Optimization and Control
Abstract
Minimization of energy functionals is based on a discretization by the finite element method and optimization by the trust-region method. A key tool is a local evaluation of the approximated gradients together with sparsity of the resulting Hessian matrix. We describe a vectorized MATLAB implementation of the p-Laplace problem in one and two space-dimensions, however it is easily applicable to other energy formulations.
Keywords
Cite
@article{arxiv.2103.02125,
title = {Minimization of p-Laplacian via the Finite Element Method in MATLAB},
author = {Ctirad Matonoha and Alexej Moskovka and Jan Valdman},
journal= {arXiv preprint arXiv:2103.02125},
year = {2022}
}
Comments
8 pages, 3 figures, accepted proceeding of conference LSSC 2021, Sozopol, Bulgaria