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A Discontinuous Galerkin Method by Patch Reconstruction for Biharmonic Problem

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 نشر من قبل Zhiyuan Sun
 تاريخ النشر 2017
  مجال البحث
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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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