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Convergence and optimality of an adaptive modified weak Galerkin finite element method

Convergence and optimality of an adaptive modified weak Galerkin finite element method

Abstract An adaptive modified weak Galerkin method (AmWG) for an elliptic problem is studied in this article, in addition to its convergence and optimality. The modified weak Galerkin bilinear form is simplified without the need of the skeletal variable, and the approximation space is chosen as the discontinuous polynomial space …