0584111 20240402215338.620240313235959.9 85161406114 10.1007/978-3-031-30445-3_24 13 s. P cav_un_epca*0584114978-3-031-30444-60302-9743287-299ChamSpringer2023WyrzykowskiR.DongarraJ.DeelmanE.KarczewskiK. MATLAB vectorization finite elements mass and stiffness matrices uniform hp-refinement boundary value problem cav_un_auth*0410335 Moskovka A. CZ cav_un_auth*0292941 Valdman Jan UTIA-B Matematická teorie rozhodování Department of Decision Making Theory MTR MTR Department of Decision Making Theory Ústav teorie informace a automatizace AV ČR, v. v. i. http://library.utia.cas.cz/separaty/2024/MTR/moskovka-0584111.pdf 8J21AT001 GA MŠk cav_un_auth*0413224 GF21-06569K GA ČR cav_un_auth*0412957 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. cav_un_auth*0464801 International Conference on Parallel Processing and Applied Mathematics (PPAM 2022) /14./ 20220911 20220914 Gdansk PL IN 10000 10200 10201 2024 PR RVO:67985556 https://hdl.handle.net/11104/0352090 S 499 0.407 24.29 1.1 80916 Q2 2023 85161406114 SCOPUS PUBMED WOS cav_un_epca*0584114 Parallel Processing and Applied Mathematics : 14th International Conference, PPAM 2022 Springer 2023 Cham 287 299 978-3-031-30444-6 Lecture Notes in Computer Science 13827 0302-9743 1611-3349 Wyrzykowski R. 340 Dongarra J. 340 Deelman E. 340 Karczewski K. 340