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Two‐order superconvergence for a weak Galerkin method on rectangular and cuboid grids

Two‐order superconvergence for a weak Galerkin method on rectangular and cuboid grids

Abstract This article introduces a particular weak Galerkin (WG) element on rectangular/cuboid partitions that uses th order polynomial for weak finite element functions and th order polynomials for weak derivatives. This WG element is highly accurate with convergence two orders higher than the optimal order in an energy norm and …