New primal-dual weak Galerkin finite element methods for convection-diffusion problems

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. Crown Copyright (C) 2020 Published by Elsevier B.V. on behalf of IMACS. All rights reserved.

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This article introduces a new primal-dual weak Galerkin finite element method for the convection-diffusion equation, with optimal error estimates established in various discrete norms and standard L-2 norms. A series of numerical experiments were conducted to validate the theoretical findings.