A weak Galerkin finite element method for solving nonlinear convection-diffusion problems in two dimensions

DOI10.1016/j.amc.2019.02.043zbMath1429.65227OpenAlexW2918697861MaRDI QIDQ2011083

Hashim A. Kashkool, Mohammed S. Cheichan, Fuzheng Gao

Publication date: 28 November 2019

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2019.02.043

zbMATH Keywords

stabilityfinite element methoderror estimateenergy conservationweak Galerkinnonlinear convection-diffusion problem

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Initial-boundary value problems for second-order parabolic systems (35K51)

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A weak Galerkin/finite difference method for time-fractional biharmonic problems in two dimensions ⋮ A weak Galerkin finite element method for time-dependent Poisson-Nernst-Planck equations ⋮ A high-order modified finite-volume method on Cartesian grids for nonlinear convection-diffusion problems ⋮ A new \(P_0\) weak Galerkin finite element scheme for second-order problems ⋮ The rapid assessment for three-dimensional potential model of large-scale particle system by a modified multilevel fast multipole algorithm ⋮ A modified weak Galerkin finite element method for nonmonotone quasilinear elliptic problems

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