Year: 2019
Author: Ruo Li, Pingbing Ming, Zhiyuan Sun, Fanyi Yang, Jerry Zhijian Yang
Journal of Computational Mathematics, Vol. 37 (2019), Iss. 4 : pp. 524–540
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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jcm.1807-m2017-0276
Journal of Computational Mathematics, Vol. 37 (2019), Iss. 4 : pp. 524–540
Published online: 2019-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 17
Keywords: Least-squares problem Reconstructed basis function Discontinuous Galerkin method Biharmonic problem.
Author Details
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