A full analysis of a new second order finite volume approximation based on a low-order scheme using general admissible spatial meshes for the unsteady one dimensional heat equation

DOI10.1016/j.jmaa.2014.02.043zbMath1310.65098OpenAlexW2095385580MaRDI QIDQ402976

Abdallah Bradji

Publication date: 29 August 2014

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.2014.02.043

zbMATH Keywords

implicit schemenonstationary heat equationa priori estimate resultanalysis in several normsfinite volume approximations of arbitrary orderfinite volume gridlow order schemes

Mathematics Subject Classification ID

Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)

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Cites Work

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• An analysis of a second-order time accurate scheme for a finite volume method for parabolic equations on general nonconforming multidimensional spatial meshes
• Error estimates of the discretization of linear parabolic equations on general nonconforming spatial grids
• Biquadratic finite volume element methods based on optimal stress points for parabolic problems
• Alternating direction methods for three space variables
• Some simple error estimates of finite volume approximate solution for parabolic equations
• High order difference methods for heat equation in polar cylindrical coordinates
• High order difference methods for linear variable coefficient parabolic equation
• High order difference schemes for unsteady one-dimensional diffusion- convection problems
• High order ADI method for solving unsteady convection-diffusion problems
• Some abstract error estimates of a finite volume scheme for a nonstationary heat equation on general nonconforming multidimensional spatial meshes.
• Improved convergence order for finite volume solutions. II: 2D problems
• Discretization of heterogeneous and anisotropic diffusion problems on general nonconforming meshes SUSHI: a scheme using stabilization and hybrid interfaces
• A single cell high order scheme for the convection-diffusion equation with variable coefficients
• High-order difference schemes for 2D elliptic and parabolic problems with mixed derivatives
• AnO(k2 +kh2 +h4) arithmetic average discretization for the solution of 1-D nonlinear parabolic equations
• Parabolic finite volume element equations in nonconvex polygonal domains
• A third-order semi-implicit finite difference method for solving the one-dimensional convection-diffusion equation
• Schémas compacts d'ordre élevé: application aux problèmes bidimensionnels de diffusion-convection instationnaire I
• A class of higher order compact schemes for the unsteady two-dimensional convection-diffusion equation with variable convection coefficients
• Error estimates for a finite volume element method for parabolic equations in convex polygonal domains
• High-Order Finite Element Methods for Singularly Perturbed Elliptic and Parabolic Problems
• A high-order compact ADI method for solving three-dimensional unsteady convection-diffusion problems
• Galerkin Finite Element Methods for Parabolic Problems
• Some improvements in the use of relaxation methods for the solution of ordinary and partial differential equations

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