A uniformly optimal‐order estimate for finite volume method for advection‐diffusion equations

DOI10.1002/num.21790zbMath1297.65109OpenAlexW2153002830MaRDI QIDQ2874164

Hong Wang, Aijie Cheng, Yongqiang Ren

Publication date: 29 January 2014

Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/num.21790

zbMATH Keywords

convergencefinite volume methodsnumerical experimentuniform error estimatestime-dependent advection-diffusion transport equations

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)

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A finite element–finite volume discretization of convection‐diffusion‐reaction equations with nonhomogeneous mixedboundary conditions: Error estimates, Flux transport characteristics of free boundary value problems for a class of generalized convection-diffusion equation, $L^2$-Stability Independent of Diffusion for a Finite Element--Finite Volume Discretization of a Linear Convection-Diffusion Equation

Cites Work

• Uniform error estimates for triangular finite element solutions of advection-diffusion equations
• An ELLAM Scheme for Multidimensional Advection-Reaction Equations and Its Optimal-Order Error Estimate
• Uniform Estimates of an Eulerian–Lagrangian Method for Time-Dependent Convection-Diffusion Equations in Multiple Space Dimensions
• Uniform estimates for a family of Eulerian-Lagrangian methods for time-dependent convection-diffusion equations with degenerate diffusion
• Uniform Estimates for Eulerian–Lagrangian Methods for Singularly Perturbed Time-Dependent Problems
• Uniform Error Analysis for Lagrange--Galerkin Approximations of Convection-Dominated Problems
• A uniform estimate for the ELLAM scheme for transport equations
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