A DISCONTINUOUS GALERKIN METHOD BY PATCH RECONSTRUCTION FOR BIHARMONIC PROBLEM

• 来源期刊: 计算数学（英文版）
• 关键词: Least-squares problem Reconstructed basis function Discontinuous Galerkin method Biharmonic problem
• 年，卷（期）: 2019,（4）
• 页码范围: 524-540
• 页数: 17页
• 语种: 英文
• DOI: 10.4208/jcm.1807-m2017-0276

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.