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A stabilizer free weak Galerkin element method with supercloseness of order two (2004.11192v1)
Published 22 Apr 2020 in math.NA and cs.NA
Abstract: The weak Galerkin (WG) finite element method is an effective and flexible general numerical techniques for solving partial differential equations. A simple weak Galerkin finite element method is introduced for second order elliptic problems. First we have proved that stabilizers are no longer needed for this WG element. Then we have proved the supercloseness of order two for the WG finite element solution. The numerical results confirm the theory