首页|On the superconvergence of a WG method for the elliptic problem with variable coefficients
On the superconvergence of a WG method for the elliptic problem with variable coefficients
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维普
This article extends a recently developed superconvergence result for weak Galerkin(WG)approximations for modeling partial differential equations from constant coefficients to variable coefficients.This superconvergence features a rate that is two orders higher than the optimal-order error estimates in the usual energy and L2 norms.The extension from constant to variable coefficients for the modeling equations is highly non-trivial.The underlying technical analysis is based on a sequence of projections and decompositions.Numerical results confirm the superconvergence theory for second-order elliptic problems with variable coefficients.
weak Galerkin finite element methodssuperconvergencesecond-order elliptic problemsstabilizer-free
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维普
