@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} }