full
search.png

Search

close.png

Cancel

arrow
Volume 37, Issue 4
A Discontinuous Galerkin Method by Patch Reconstruction for Biharmonic Problem

Ruo Li, Pingbing Ming, Zhiyuan Sun, Fanyi Yang & Jerry Zhijian Yang

DOI: 10.4208/jcm.1807-m2017-0276

J. Comp. Math., 37 (2019), pp. 524-540.

Published online: 2019-02

Preview Purchase PDF 2195 34304

Cited by

google scholar semantic scholar
Export citation
  • 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.

  • Keywords

Least-squares problem, Reconstructed basis function, Discontinuous Galerkin method, Biharmonic problem.

  • AMS Subject Headings

49N45, 65N21

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address

rli@math.pku.edu.cn (Ruo Li)

mpb@lsec.cc.ac.cn (Pingbing Ming)

zysun@math.pku.edu.cn (Zhiyuan Sun)

yangfanyi@pku.edu.cn (Fanyi Yang)

zjyang.math@whu.edu.cn (Jerry Zhijian Yang)

  • BibTex
  • RIS
  • TXT
@Article{JCM-37-524, author = {Li , RuoMing , PingbingSun , ZhiyuanYang , Fanyi and Yang , Jerry Zhijian}, title = {A Discontinuous Galerkin Method by Patch Reconstruction for Biharmonic Problem}, journal = {Journal of Computational Mathematics}, year = {2019}, volume = {37}, number = {4}, pages = {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.

}, issn = {1991-7139}, doi = {https://doi.org/10.4208/jcm.1807-m2017-0276}, url = {http://global-sci.org/intro/article_detail/jcm/13007.html} }
TY - JOUR T1 - A Discontinuous Galerkin Method by Patch Reconstruction for Biharmonic Problem AU - Li , Ruo AU - Ming , Pingbing AU - Sun , Zhiyuan AU - Yang , Fanyi AU - Yang , Jerry Zhijian JO - Journal of Computational Mathematics VL - 4 SP - 524 EP - 540 PY - 2019 DA - 2019/02 SN - 37 DO - http://doi.org/10.4208/jcm.1807-m2017-0276 UR - https://global-sci.org/intro/article_detail/jcm/13007.html KW - Least-squares problem, Reconstructed basis function, Discontinuous Galerkin method, Biharmonic problem. AB -

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.

Li , RuoMing , PingbingSun , ZhiyuanYang , Fanyi and Yang , Jerry Zhijian. (2019). A Discontinuous Galerkin Method by Patch Reconstruction for Biharmonic Problem. Journal of Computational Mathematics. 37 (4). 524-540. doi:10.4208/jcm.1807-m2017-0276
Copy to clipboard
BibteX RIS TXT
The citation has been copied to your clipboard