Maximum principle in linear finite element approximations of anisotropic diffusion-convection-reaction problems

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	Maximum principle in linear finite element approximations of anisotropic diffusion-convection-reaction problems
	Lu, Changna ; Huang, Weizhang ; Qiu, Jianxian ; Qiu JX(邱建贤)
刊名	http://dx.doi.org/10.1007/s00211-013-0595-8
	2014
关键词	MAGNETIZED PLASMAS ELLIPTIC PROBLEMS HEAT-TRANSPORT DISCRETE EQUATIONS MONOTONICITY OPERATOR SCHEME MESHES SPACE
英文摘要	National Science Foundation (USA) [DMS-1115118]; Natural Science Foundation of China [10931004, 40906048]; A mesh condition is developed for linear finite element approximations of anisotropic diffusion-convection-reaction problems to satisfy a discrete maximum principle. Loosely speaking, the condition requires that the mesh be simplicial and -nonobtuse when the dihedral angles are measured in the metric specified by the inverse of the diffusion matrix, where denotes the mesh size and and are the coefficients of the convection and reaction terms. In two dimensions, the condition can be replaced by a weaker mesh condition (an perturbation of a generalized Delaunay condition). These results include many existing mesh conditions as special cases. Numerical results are presented to verify the theoretical findings.
语种	英语
出版者	SPRINGER
内容类型	期刊论文
源URL	[http://dspace.xmu.edu.cn/handle/2288/91326]
专题	数学科学－已发表论文
推荐引用方式 GB/T 7714	Lu, Changna,Huang, Weizhang,Qiu, Jianxian,et al. Maximum principle in linear finite element approximations of anisotropic diffusion-convection-reaction problems[J]. http://dx.doi.org/10.1007/s00211-013-0595-8,2014.
APA	Lu, Changna,Huang, Weizhang,Qiu, Jianxian,&邱建贤.(2014).Maximum principle in linear finite element approximations of anisotropic diffusion-convection-reaction problems.http://dx.doi.org/10.1007/s00211-013-0595-8.
MLA	Lu, Changna,et al."Maximum principle in linear finite element approximations of anisotropic diffusion-convection-reaction problems".http://dx.doi.org/10.1007/s00211-013-0595-8 (2014).