Modified weak Galerkin method with weakly imposed boundary condition for convection-dominated diffusion equations

DOI10.1016/j.apnum.2020.07.010zbMath1446.76128OpenAlexW3042677078MaRDI QIDQ2192639

Fuzheng Gao, Shangyou Zhang, Peng Zhu

Publication date: 17 August 2020

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2020.07.010

zbMATH Keywords

convergenceerror estimatenumerical stabilityenergy norm

Mathematics Subject Classification ID

Diffusion (76R50) Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element methods applied to problems in fluid mechanics (76M10)

Related Items (7)

Uniform convergent modified weak Galerkin method for convection-dominated two-point boundary value problems ⋮ A modified weak Galerkin finite element method for parabolic equations on anisotropic meshes ⋮ The weak Galerkin method for the miscible displacement of incompressible fluids in porous media on polygonal mesh ⋮ A New Weak Galerkin Method with Weakly Enforced Dirichlet Boundary Condition ⋮ A posteriori error estimate for a modified weak Galerkin method of 2D \(\boldsymbol{H}(\mathrm{curl})\) elliptic problems ⋮ Convergence analysis of weak Galerkin flux-based mixed finite element method for solving singularly perturbed convection-diffusion-reaction problem ⋮ Superconvergence of a modified weak Galerkin method for singularly perturbed two-point elliptic boundary-value problems

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