Discrete maximum principle for higher-order finite elements in 1D期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

按检索

Discrete maximum principle for higher-order finite elements in 1D

Authors:	Tomá s Vejchodsky Pavel Solí n

Institution:	Mathematical Institute, Academy of Sciences, Zitná 25, Praha 1, CZ-115 67, Czech Republic ; Institute of Thermomechanics, Academy of Sciences, Dolejskova 5, Praha 8, CZ-182 00, Czech Republic

Abstract:	We formulate a sufficient condition on the mesh under which we prove the discrete maximum principle (DMP) for the one-dimensional Poisson equation with Dirichlet boundary conditions discretized by the -FEM. The DMP holds if a relative length of every element in the mesh is bounded by a value $H^_{\rm rel}(p)\in0.9,1]$ , where $p\ge 1$ is the polynomial degree of the element . The values $H^_{\rm rel}(p)$ are calculated for $1 \le p \le 100$ .

Keywords:	Discrete maximum principle discrete Green's function higher-order elements $hp$-FEM Poisson equation

	点击此处可从《Mathematics of Computation》浏览原始摘要信息
	点击此处可从《Mathematics of Computation》下载免费的PDF全文