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	Convergence of an explicit upwind finite element method to multi-dimensional conservation laws
	Xu, JC ; Ying, LA
	2001
关键词	conservation law finite element method convergence COMPUTATIONAL FLUID-DYNAMICS SPACE DIMENSIONS VOLUME SCHEMES FORMULATION EQUATIONS
英文摘要	An explicit upwind finite element method is given for the numerical computation to multi-dimensional scalar conservation laws. It is proved that this scheme is consistent to the equation and monotone, and the approximate solution satisfies discrete entropy inequality. To guarantee the limit of approximate solutions to be a measure valued solution, we prove an energy estimate. Then the L-p strong convergence of this scheme is proved.; Mathematics, Applied; Mathematics; SCI(E); 中国科学引文数据库(CSCD); 2; ARTICLE; 1; 87-100; 19
语种	英语
出处	SCI
出版者	计算数学英文版
内容类型	其他
源URL	[http://hdl.handle.net/20.500.11897/389123]
专题	数学科学学院
推荐引用方式 GB/T 7714	Xu, JC,Ying, LA. Convergence of an explicit upwind finite element method to multi-dimensional conservation laws. 2001-01-01.

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