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Bibliography

Conference Paper (international conference)

On Minimization of Nonlinear Energies Using FEM in MATLAB

Moskovka A., Valdman Jan, Vohnoutová M.

: Parallel Processing and Applied Mathematics : 14th International Conference, PPAM 2022, p. 331-342 , Eds: Wyrzykowski R., Dongarra J., Deelman E., Karczewski K.

: International Conference on Parallel Processing and Applied Mathematics (PPAM 2022) /14./, (Gdansk, PL, 20220911)

: 8J21AT001, GA MŠk, GF21-06569K, GA ČR

: minimization, nonlinear energy, finite elements, Ginzburg-Landau model, topology optimization

: 10.1007/978-3-031-30445-3_28

: http://library.utia.cas.cz/separaty/2024/MTR/moskovka-0584116.pdf

(eng): Two minimization problems are added to the Moskovka and Valdman MATLAB package (2022): a Ginzburg-Landau (scalar) problem and a topology optimization (both scalar and vector) problem in linear elasticity. Both problems are described as nonlinear energy minimizations that contain the first gradient of the unknown field. Their energy functionals are discretized by finite elements, and the corresponding minima are searched using the trust-region method with a known Hessian sparsity or the Quasi-Newton method.

: IN

: 10201