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 - <p style="text-align: justify;">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.</p>