A stabilizer free weak Galerkin finite element method with supercloseness of order two. (English) Zbl 07776000
Summary: The weak Galerkin (WG) finite element method is an effective and flexible general numerical technique for solving partial differential equations. A simple WG 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.
{© 2020 Wiley Periodicals LLC}
{© 2020 Wiley Periodicals LLC}
Keywords:
finite element methods; second-order elliptic problems; stabilizer free; supercloseness; weak Galerkin; weak gradientReferences:
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