A posteriori error estimate for finite volume element method of the parabolic equations
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Publication:2957442
DOI10.1002/num.22085zbMath1361.65066OpenAlexW2495857799MaRDI QIDQ2957442
Publication date: 26 January 2017
Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/num.22085
Initial-boundary value problems for second-order parabolic equations (35K20) 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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Cites Work
- Unnamed Item
- Unnamed Item
- On the finite volume element method
- A residual-type a posteriori error estimate of finite volume element method for a quasi-linear elliptic problem
- On first and second order box schemes
- A posteriori error estimation in finite element analysis
- Estimations a posteriori d'un schéma de volumes finis pour un problème non linéaire. (A posteriori estimates of a finite volume scheme for a nonlinear problem.)
- A posteriori estimators for the finite volume discretization of an elliptic problem
- A characteristic Galerkin method with adaptive error control for the continuous casting problem
- Symmetric modified finite volume element methods for selfadjoint elliptic and parabolic problems
- A posteriori error estimates for finite volume element approximations of convection-diffusion-reaction equations
- Two-grid finite volume element method for linear and nonlinear elliptic problems
- A posteriori error estimates for finite element discretizations of the heat equation
- Adaptive Galerkin Methods with Error Control for a Dynamical Ginzburg--Landau Model in Superconductivity
- A posterior error estimate for finite volume methods of the second order elliptic problem
- Finite Element Interpolation of Nonsmooth Functions Satisfying Boundary Conditions
- On the Accuracy of the Finite Volume Element Method for Diffusion Equations on Composite Grids
- $hp$-Version Discontinuous Galerkin Finite Element Method for Semilinear Parabolic Problems
- Some Error Estimates for the Box Method
- Error Estimates for Adaptive Finite Element Computations
- Lp error estimates and superconvergence for covolume or finite volume element methods
- On the Accuracy of the Finite Volume Element Method Based on Piecewise Linear Polynomials
- Error estimates for a finite volume element method for parabolic equations in convex polygonal domains
- A posteriori analysis of the finite element discretization of some parabolic equations
- Error estimates in $L^2$, $H^1$ and $L^\infty$ in covolume methods for elliptic and parabolic problems: A unified approach
- An adaptive finite element algorithm with reliable and efficient error control for linear parabolic problems
- Finite volume element approximations of nonlocal reactive flows in porous media
- The Mathematical Theory of Finite Element Methods
- Explicit and Averaging A Posteriori Error Estimates for Adaptive Finite Volume Methods