A Discontinuous Galerkin Method by Patch Reconstruction for Biharmonic Problem
Numerical Analysis
2019-11-26 v2
Abstract
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.
Cite
@article{arxiv.1712.10103,
title = {A Discontinuous Galerkin Method by Patch Reconstruction for Biharmonic Problem},
author = {Ruo Li and Pingbing Ming and Zhiyuan Sun and Fanyi Yang and Zhijian Yang},
journal= {arXiv preprint arXiv:1712.10103},
year = {2019}
}