On Minimization of Nonlinear Energies Using FEM in MATLAB
| dc.contributor.author | Moskovka, Alexej | |
| dc.contributor.author | Valdman, Jan | |
| dc.contributor.author | Vohnoutová, Marta | |
| dc.date.accessioned | 2024-01-15T11:00:16Z | |
| dc.date.available | 2024-01-15T11:00:16Z | |
| dc.date.issued | 2023 | |
| dc.description.abstract-translated | 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. | en |
| dc.format | ||
| dc.format | 12 s. | cs |
| dc.format.mimetype | application/pdf | |
| dc.identifier.citation | MOSKOVKA, A.; VALDMAN, J.; VOHNOUTOVÁ, M. On Minimization of Nonlinear Energies Using FEM in MATLAB. In: Parallel Processing and Applied Mathematics. Cham: Springer, 2023, s. 331-342. ISBN 978-3-031-30444-6, ISSN 0302-9743. | cs |
| dc.identifier.doi | 10.1007/978-3-031-30445-3_28 | |
| dc.identifier.isbn | 978-3-031-30444-6 | |
| dc.identifier.issn | 0302-9743 | |
| dc.identifier.obd | 43939559 | |
| dc.identifier.uri | 2-s2.0-85161449568 | |
| dc.identifier.uri | http://hdl.handle.net/11025/55074 | |
| dc.language.iso | ||
| dc.language.iso | en | en |
| dc.project.ID | SGS-2022-006/Kvalitativní a kvantitativní studium matematických modelů V. | cs |
| dc.publisher | Springer | en |
| dc.relation.ispartofseries | Parallel Processing and Applied Mathematics | en |
| dc.rights | Plný text je přístupný v rámci univerzity přihlášeným uživatelům | cs |
| dc.rights | © The Author(s) | en |
| dc.rights.access | restrictedAccess | en |
| dc.subject.translated | minimization | en |
| dc.subject.translated | nonlinear energy | en |
| dc.subject.translated | finite elements | en |
| dc.subject.translated | Ginzburg-Landau model | en |
| dc.subject.translated | topology optimization | en |
| dc.title | On Minimization of Nonlinear Energies Using FEM in MATLAB | en |
| dc.type | konferenční příspěvek | cs |
| dc.type | ConferenceObject | en |
| dc.type.status | Peer-reviewed | en |
| dc.type.version | publishedVersion | en |