New Primal-Dual Weak Galerkin Finite Element Methods for Convection-Diffusion Problems

01/19/2020

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by   Waixiang Cao, et al.

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This article devises a new primal-dual weak Galerkin finite element method for the convection-diffusion equation. Optimal order error estimates are established for the primal-dual weak Galerkin approximations in various discrete norms and the standard L^2 norms. A series of numerical experiments are conducted and reported to verify the theoretical findings.