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Kokkos-Based Implementation of MPCD on Heterogeneous Nodes Read chapter Read first chapter

2023 | OriginalPaper | Chapter

MATLAB Implementation of Hp Finite Elements on Rectangles Using Hierarchical Basis Functions

Authors : Alexej Moskovka, Jan Valdman

Published in: Parallel Processing and Applied Mathematics

Publisher: Springer International Publishing

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Abstract

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.

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Metadata
Title
MATLAB Implementation of Hp Finite Elements on Rectangles Using Hierarchical Basis Functions
Authors
Alexej Moskovka
Jan Valdman
Copyright Year
2023
Book
Parallel Processing and Applied Mathematics

Print ISBN: 978-3-031-30444-6

Electronic ISBN: 978-3-031-30445-3

Copyright Year: 2023

DOI
https://doi.org/10.1007/978-3-031-30445-3_24

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