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Bibliography
Conference Paper (international conference)
Minimization of p-Laplacian via the Finite Element Method in MATLAB
, ,
: Large-Scale Scientific Computing, p. 533-540 , Eds: Lirkov I., Margenov S.
: LSSC 2021: International Conference on Large-Scale Scientific Computations /13./, (Sozopol, BG, 20210607)
: 8J21AT001, GA MŠk, GA18-03834S, GA ČR
: Finite elements, Energy functional, Trust-region methods, p-Laplace equation, MATLAB code vectorization
: 10.1007/978-3-030-97549-4_61
: http://dx.doi.org/10.1007/978-3-030-97549-4_61
(eng): Minimization of energy functionals is based on a discretization by the finite element method and optimization by the trust-region method. A key tool to an efficient implementation is a local evaluation of the approximated gradients together with sparsity of the resulting Hessian matrix. Vectorization concepts are explained for the p-Laplace problem in one and two space-dimensions.
: 10101