A finite volume element formulation and error analysis for the non-stationary conduction-convection problem

DOI10.1016/j.jmaa.2012.07.046zbMath1248.35163OpenAlexW1975513573MaRDI QIDQ714103

Hong Li, Jing An, Ping Sun, Zhen-Dong Luo

Publication date: 19 October 2012

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2012.07.046

zbMATH Keywords

error estimatefinite volume element methodnon-stationary conduction-convection problem

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Finite volume methods applied to problems in fluid mechanics (76M12) Applications to the sciences (65Z05)

Related Items (7)

Reduced‐order extrapolation technique for coefficient vectors of numerical solutions about fluid mechanics equation ⋮ A stabilized finite volume method for the evolutionary Stokes-Darcy system ⋮ Proper orthogonal decomposition-based reduced-order stabilized mixed finite volume element extrapolating model for the nonstationary incompressible Boussinesq equations ⋮ A fully discrete stabilized mixed finite volume element formulation for the non-stationary conduction-convection problem ⋮ Superconvergent analysis of a nonconforming mixed finite element method for non-stationary conduction-convection problem ⋮ A reduced-order SMFVE extrapolation algorithm based on POD technique and CN method for the non-stationary Navier-Stokes equations ⋮ A stabilized Crank-Nicolson mixed finite volume element formulation for the non-stationary incompressible Boussinesq equations

Cites Work

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• On the relationship between finite volume and finite element methods applied to the Stokes equations
• On the Accuracy of the Finite Volume Element Method for Diffusion Equations on Composite Grids
• Some Error Estimates for the Box Method
• Convergence of Finite Volume Schemes for Poisson’s Equation on Nonuniform Meshes
• Finite element methods for nonlinear parabolic equations
• A Covolume Method Based on Rotated Bilinears for the Generalized Stokes Problem
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• Computational Fluid Dynamics
• Analysis of the cell-centred finite volume method for the diffusion equation
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