A Coupling of Local Discontinuous Galerkin and Natural Boundary Element Method for Exterior Problems

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	A Coupling of Local Discontinuous Galerkin and Natural Boundary Element Method for Exterior Problems
	Huang Hongying ; Yang Ju'e ; Yu Dehao ; Yu DH(余德浩)
刊名	http://dx.doi.org/10.1007/s10915-012-9584-9
	2012-12
关键词	PRIORI ERROR ANALYSIS ELLIPTIC PROBLEMS
英文摘要	National Natural Science Foundation of China [11101368, 10531080, 11001168, 61075120]; Education Department of Zhejiang Province [Y200908907, Y201121696]; Fundamental Research Funds for the Central Universities of China [860360]; In this paper, we apply the coupling of local discontinuous Galerkin (LDG) and natural boundary element method(NBEM) to solve a two-dimensional exterior problem. As a consequence, the main features of LDG and NBEM are maintained and hence the coupled approach benefits from the advantages of both methods. Referring to Gatica et al. (Math. Comput. 79(271):1369-1394, 2010), we employ LDG subspaces whose functions are continuous on the coupling boundary. In this way, the primitive variables become the only boundary unknown, and hence the total number of unknown functions is reduced. We prove the stability of the new discrete scheme and derive an a priori error estimate in the energy norm. Some numerical examples conforming the theoretical results are provided.
语种	英语
出版者	J SCI COMPUT
内容类型	期刊论文
源URL	[http://dspace.xmu.edu.cn/handle/2288/90943]
专题	数学科学－已发表论文
推荐引用方式 GB/T 7714	Huang Hongying,Yang Ju'e,Yu Dehao,et al. A Coupling of Local Discontinuous Galerkin and Natural Boundary Element Method for Exterior Problems[J]. http://dx.doi.org/10.1007/s10915-012-9584-9,2012.
APA	Huang Hongying,Yang Ju'e,Yu Dehao,&余德浩.(2012).A Coupling of Local Discontinuous Galerkin and Natural Boundary Element Method for Exterior Problems.http://dx.doi.org/10.1007/s10915-012-9584-9.
MLA	Huang Hongying,et al."A Coupling of Local Discontinuous Galerkin and Natural Boundary Element Method for Exterior Problems".http://dx.doi.org/10.1007/s10915-012-9584-9 (2012).