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Minimization of p-Laplacian via the Finite Element Method in MATLAB (2103.02125v2)
Published 3 Mar 2021 in math.NA, cs.NA, and math.OC
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.
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