The semidiscrete finite volume element method for nonlinear convection-diffusion problem

DOI10.1016/j.amc.2011.01.094zbMath1221.65234OpenAlexW1989779845MaRDI QIDQ544053

Yong-Cai Geng, Sumit K. Garg

Publication date: 14 June 2011

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

Full work available at URL: https://doi.org/10.1016/j.amc.2011.01.094

zbMATH Keywords

stabilitynumerical examplefinite elementerror estimatesemidiscretizationfinite volume element methodtwo-grid methodfine grid solutionnonlinear convection-diffusion problem

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) 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) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)

Related Items (10)

A posteriori error estimates of stabilized finite volume method for the Stokes equations ⋮ The upwind finite volume element method for two-dimensional Burgers equation ⋮ The Crank-Nicolson/Adams-Bashforth scheme for the Burgers equation with \(H^{2}\) and \(H^{1}\) initial data ⋮ Two-Grid Finite Element Methods for the Steady Navier-Stokes/Darcy Model ⋮ A posteriori error estimates of two-grid finite volume element methods for nonlinear elliptic problems ⋮ An integral equation approach to the unsteady convection-diffusion equations ⋮ A Two-Grid Finite-Volume Method for the Schrodinger Equation ⋮ A two-level finite volume method for the unsteady Navier-Stokes equations based on two local Gauss integrations ⋮ Characteristic block-centred finite difference methods for nonlinear convection-dominated diffusion equation ⋮ Virtual element method for the quasilinear convection-diffusion-reaction equation on polygonal meshes

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