南方科技大学知识苑(SUSTech KC): High-precision computation of the weak Galerkin methods for the fourth-order problem

题名	High-precision computation of the weak Galerkin methods for the fourth-order problem
作者	Burkardt，John 1; Gunzburger，Max 2; Zhao，Wenju2,3
通讯作者	Zhao，Wenju
发表日期	2019
DOI	10.1007/s11075-019-00751-5
发表期刊	NUMERICAL ALGORITHMS 影响因子和分区
ISSN	1017-1398
EISSN	1572-9265
卷号	84 期号:1页码:181-205
摘要	The weak Galerkin form of the finite element method, requiring only C basis function, is applied to the biharmonic equation. The computational procedure is thoroughly considered. Local orthogonal bases on triangulations are constructed using various sets of interpolation points with the Gram-Schmidt or Levenberg-Marquardt methods. Comparison and high-precision computations are carried out, and convergence rates are provided up to degree 11 for L, 10 for H, and 9 for H, suggesting that the algorithm is useful for a variety of computations.
关键词	Fourth-order problem High precision Orthogonal basis Weak Galerkin
相关链接	[Scopus记录]
收录类别	SCI
语种	英语
学校署名	通讯
资助项目	US Air Force Office of Scientific Research[FA9550-15-1-0001]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000528979000008
出版者	SPRINGER
ESI学科分类	MATHEMATICS
Scopus记录号	2-s2.0-85068334520
来源库	Scopus
引用统计	被引频次[WOS]：11
成果类型	期刊论文
条目标识符	http://sustech.caswiz.com/handle/2SGJ60CL/44100
专题	理学院_数学系
作者单位	1.Department of MathematicsVirginia Polytechnic Institute and State University,Blacksburg,24061,United States 2.Department of Scientific ComputingFlorida State University,Tallahassee,32304,United States 3.Department of MathematicsSouthern University of Science and Technology,Shenzhen,518055,China
通讯作者单位	数学系
推荐引用方式 GB/T 7714	Burkardt，John,Gunzburger，Max,Zhao，Wenju. High-precision computation of the weak Galerkin methods for the fourth-order problem[J]. NUMERICAL ALGORITHMS,2019,84(1):181-205.
APA	Burkardt，John,Gunzburger，Max,&Zhao，Wenju.(2019).High-precision computation of the weak Galerkin methods for the fourth-order problem.NUMERICAL ALGORITHMS,84(1),181-205.
MLA	Burkardt，John,et al."High-precision computation of the weak Galerkin methods for the fourth-order problem".NUMERICAL ALGORITHMS 84.1(2019):181-205.