p-Laplace equation solver using 1D, 2D FEM

Version 1.0.0 (380 KB) by Alexej Moskovka
Solving p-Laplace equation in 1D and 2D by minimizing the corresponding energy functional using FEM
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Updated 26 Feb 2021

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Complementary software to the article
"Minimization of p-Laplacian via the Finite Element Method in MATLAB"
by
Ctirad Matonoha, Alexej Moskovka, Jan Valdman

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.

Cite As

Alexej Moskovka, Jan Valdman (2021). p-Laplace equation solver using 1D, 2D FEM (https://www.mathworks.com/matlabcentral/fileexchange/<...>), MATLAB Central File Exchange. Retrieved February 26, 2021.

MATLAB Release Compatibility
Created with R2018a
Compatible with any release
Platform Compatibility
Windows macOS Linux
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Version Published Release Notes
1.0.0