MATLAB implementation of hp finite elements on rectangles
Mathematical Software
2022-05-17 v1
Abstract
A simple 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 of a boundary value problem is approximated for various levels of uniform h and p refinements.
Cite
@article{arxiv.2205.07637,
title = {MATLAB implementation of hp finite elements on rectangles},
author = {Alexej Moskovka and Jan Valdman},
journal= {arXiv preprint arXiv:2205.07637},
year = {2022}
}
Comments
12 pages, 6 figures