,A DISCONTINUOUS GALERKIN METHOD BY PATCH RECONSTRUCTION FOR BIHARMONIC PROBLEM

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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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