MATLAB Implementation of Hp Finite Elements on Rectangles Using Hierarchical Basis Functions
| dc.contributor.author | Moskovka, Alexej | |
| dc.contributor.author | Valdman, Jan | |
| dc.date.accessioned | 2024-01-15T11:00:16Z | |
| dc.date.available | 2024-01-15T11:00:16Z | |
| dc.date.issued | 2023 | |
| dc.description.abstract-translated | A MATLAB implementation of hierarchical shape functions on 2D rectangles is explained and available for download. Global shape functions are ordered for a given polynomial degree according to the indices of the nodes, edges, or elements to which they belong. For a uniform p-refinement, the hierarchical structure enables an effective assembly of mass and stiffness matrices. A solution to a boundary value problem is approximated for various levels of uniform h and p refinements. | en |
| dc.format | ||
| dc.format | 13 s. | cs |
| dc.format.mimetype | application/pdf | |
| dc.identifier.citation | MOSKOVKA, A.; VALDMAN, J. MATLAB Implementation of Hp Finite Elements on Rectangles Using Hierarchical Basis Functions. In: Parallel Processing and Applied Mathematics. Neuveden: Springer, 2023, s. 287-299. ISBN 978-3-031-30444-6, ISSN 0302-9743. | cs |
| dc.identifier.doi | 10.1007/978-3-031-30445-3_24 | |
| dc.identifier.isbn | 978-3-031-30444-6 | |
| dc.identifier.issn | 0302-9743 | |
| dc.identifier.obd | 43939560 | |
| dc.identifier.uri | 2-s2.0-85161406114 | |
| dc.identifier.uri | http://hdl.handle.net/11025/55075 | |
| 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 | MATLAB vectorization | en |
| dc.subject.translated | finite elements | en |
| dc.subject.translated | mass and stiffness matrices | en |
| dc.subject.translated | uniform hp-refinement | en |
| dc.subject.translated | boundary value problem | en |
| dc.title | MATLAB Implementation of Hp Finite Elements on Rectangles Using Hierarchical Basis Functions | en |
| dc.type | konferenční příspěvek | cs |
| dc.type | ConferenceObject | en |
| dc.type.status | Peer-reviewed | en |
| dc.type.version | publishedVersion | en |