A DISCONTINUOUS GALERKIN METHOD BY PATCH RECONSTRUCTION FOR BIHARMONIC PROBLEM

被引：15

作者：

Li, Ruo ^{[1
,2
]}

Ming, Pingbing ^{[3
,4
]}

Sun, Zhiyuan ^{[2
]}

Yang, Fanyi ^{[2
]}

Yang, Zhijian ^{[5
]}

机构：

[1] Peking Univ, CAPT, LMAM, Beijing 100871, Peoples R China

[2] Peking Univ, Sch Math Sci, Beijing 100871, Peoples R China

[3] Chinese Acad Sci, Inst Computat Math & Sci Engn Comp, LSEC, AMSS, Beijing 100190, Peoples R China

[4] Univ Chinese Acad Sci, Sch Math Sci, 19A Yu Quan Rd, Beijing 100049, Peoples R China

[5] Wuhan Univ, Sch Math & Stat, Wuhan 430072, Peoples R China

来源：

JOURNAL OF COMPUTATIONAL MATHEMATICS | 2019年 / 37卷 / 04期

基金：

中国国家自然科学基金;

关键词：

Least-squares problem; Reconstructed basis function; Discontinuous Galerkin method; Biharmonic problem; FINITE-ELEMENT APPROXIMATIONS;

D O I：

10.4208/jcm.1807-m2017-0276

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We propose a new discontinuous Galerkin method based on the least-squares patch reconstruction for the biharmonic problem. We prove the optimal error estimate of the proposed method. The two-dimensional and three-dimensional numerical examples are presented to confirm the accuracy and efficiency of the method with several boundary conditions and several types of polygon meshes and polyhedral meshes.

引用

页码：524 / 540

页数：17

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