论文标题
MATLAB在矩形上实施HP有限元
MATLAB implementation of hp finite elements on rectangles
论文作者
论文摘要
解释了2D矩形上的层次形状函数的简单MATLAB实现，并可供下载。根据给定的多项式程度，按照它们所属的节点，边缘或元素的索引，将全局形状函数排序。对于均匀的p填充，分层结构可以有效组装质量和刚度矩阵。对于各种均匀的H和P细化，可以近似边界值问题的解决方案。
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.
