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

Solving p-Laplace equation in 1D and 2D by minimizing the corresponding energy functional using FEM

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.