Czech
English
You are here
Bibliography
Conference Paper (international conference)
MATLAB Implementation of Hp Finite Elements on Rectangles Using Hierarchical Basis Functions
,
: Parallel Processing and Applied Mathematics : 14th International Conference, PPAM 2022, p. 287-299 , 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
: MATLAB vectorization, finite elements, mass and stiffness matrices, uniform hp-refinement, boundary value problem
: 10.1007/978-3-031-30445-3_24
: http://library.utia.cas.cz/separaty/2024/MTR/moskovka-0584111.pdf
(eng): A MATLAB implementation of hierarchical shape functions on 2D rectangles is explained and available for download. Global shape\nfunctions 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.
: IN
: 10201