A Hybridizable Discontinuous Galerkin Method for Kirchhoff Plates

doi:10.1007/s10915-018-0780-0

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	A Hybridizable Discontinuous Galerkin Method for Kirchhoff Plates
	Huang, Jianguo 1; Huang, Xuehai 2,3
刊名	JOURNAL OF SCIENTIFIC COMPUTING
	2019-01
卷号	78 期号:1 页码:290-320
关键词	Kirchhoff plates Hybridizable discontinuous Galerkin method Inf-sup condition Superconvergence Postprocessing
ISSN号	0885-7474
DOI	10.1007/s10915-018-0780-0
英文摘要	With the introduction of numerical traces respectively related to the normal bending moment, the twisting moment and the effective transverse shear force, and based on the Hermann-Miyoshi formulation, this paper proposes a hybridizable discontinuous Galerkin (HDG) method for Kirchhoff plate bending problems. The piecewise polynomials of degrees k-1 and k are used to approximate the moment and the deflection, respectively. The optimal and superconvergent error estimates are derived under minimal regularity assumptions on the exact solution. The key ingredients in the analysis include the derivation of a discrete inf-sup condition and some local lower bound estimates of a posteriori error analysis. The significant feature of the HDG method is superconvergence as well as the low number of globally coupled degrees of freedom associated with Lagrange multipliers. Furthermore, a new discrete deflection is constructed by postprocessing the solution of the HDG method, which superconverges to the deflection with order k+1 in broken H1 norm. Finally, some numerical results are shown to demonstrate the theoretical results.
WOS研究方向	Mathematics
语种	英语
出版者	SPRINGER/PLENUM PUBLISHERS
WOS记录号	WOS:000456969200012
内容类型	期刊论文
源URL	[http://10.2.47.112/handle/2XS4QKH4/410]
专题	上海财经大学
通讯作者	Huang, Xuehai
作者单位	1.Shanghai Jiao Tong Univ, Key Lab Sci & Engn Comp, Minist Educ, Sch Math Sci, Shanghai 200240, Peoples R China; 2.Shanghai Univ Finance & Econ, Sch Math, Shanghai 200433, Peoples R China; 3.Wenzhou Univ, Dept Math, Wenzhou 325035, Peoples R China
推荐引用方式 GB/T 7714	Huang, Jianguo,Huang, Xuehai. A Hybridizable Discontinuous Galerkin Method for Kirchhoff Plates[J]. JOURNAL OF SCIENTIFIC COMPUTING,2019,78(1):290-320.
APA	Huang, Jianguo,&Huang, Xuehai.(2019).A Hybridizable Discontinuous Galerkin Method for Kirchhoff Plates.JOURNAL OF SCIENTIFIC COMPUTING,78(1),290-320.
MLA	Huang, Jianguo,et al."A Hybridizable Discontinuous Galerkin Method for Kirchhoff Plates".JOURNAL OF SCIENTIFIC COMPUTING 78.1(2019):290-320.