Title: | Minimization of p-Laplacian via the Finite Element Method in MATLAB |
Authors: | Matonoha, Ctirad Moskovka, Alexej Valdman, Jan |
Citation: | MATONOHA, C. MOSKOVKA, A. VALDMAN, J. Minimization of p-Laplacian via the Finite Element Method in MATLAB. In Large-Scale Scientific Computing. Heidelberg: Springer, 2022. s. 533-540. ISBN: 978-3-030-97548-7 , ISSN: 0302-9743 |
Issue Date: | 2022 |
Publisher: | Springer |
Document type: | konferenční příspěvek ConferenceObject |
URI: | 2-s2.0-85127202885 http://hdl.handle.net/11025/50627 |
ISBN: | 978-3-030-97548-7 |
ISSN: | 0302-9743 |
Keywords in different language: | energy functional;finite elements;MATLAB code vectorization;p-Laplace equation;trust-region methods |
Abstract in different language: | 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. |
Rights: | © Springer |
Appears in Collections: | Konferenční příspěvky / Conference Papers (KMA) OBD |
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978-3-030-97549-4-537-544.pdf | 1,02 MB | Adobe PDF | View/Open Request a copy |
Please use this identifier to cite or link to this item:
http://hdl.handle.net/11025/50627
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