A residual-type a posteriori error estimate of finite volume element method for a quasi-linear elliptic problem
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Publication:849052
DOI10.1007/s00211-009-0247-1zbMath1187.65121OpenAlexW1965568391MaRDI QIDQ849052
Publication date: 24 February 2010
Published in: Numerische Mathematik (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00211-009-0247-1
numerical experimentserror boundsfinite volume element methodposteriori error estimatesquasi-linear elliptic problem
Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Quasilinear elliptic equations (35J62) Finite volume methods for boundary value problems involving PDEs (65N08)
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Cites Work
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- On the finite volume element method
- On Galerkin approximations of a quasilinear nonpotential elliptic problem of a nonmonotone type
- Multigrid algorithms for a vertex-centered covolume method for elliptic problems
- Higher order finite element approximation of a quasilinear elliptic boundary value problem of a non-monotone type
- 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.)
- Finite volume element methods for non-definite 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
- Superconvergence of finite volume element method for a nonlinear elliptic problem
- Finite Element Interpolation of Nonsmooth Functions Satisfying Boundary Conditions
- A finite volume element method for a non‐linear elliptic problem
- Mixed Finite Element Methods for Quasilinear Second-Order Elliptic Problems
- Some Error Estimates for the Box Method
- An Interior Penalty Finite Element Method with Discontinuous Elements
- Some Optimal Error Estimates for Piecewise Linear Finite Element Approximations
- A Galerkin Method for a Nonlinear Dirichlet Problem
- On the Finite Volume Element Method for General Self-Adjoint Elliptic Problems
- Finite Volume Methods for Elliptic PDE's: A New Approach
- Error estimates for finite volume element methods for general second-order elliptic problems
- On the Accuracy of the Finite Volume Element Method Based on Piecewise Linear Polynomials
- Global Superconvergence and A Posteriori Error Estimators of the Finite Element Method for a Quasi-linear Elliptic Boundary Value Problem of Nonmonotone Type
- Error estimates in $L^2$, $H^1$ and $L^\infty$ in covolume methods for elliptic and parabolic problems: A unified approach
- Two-Grid Discretization Techniques for Linear and Nonlinear PDE<scp>s</scp>
- Discontinuous Galerkin Methods for Quasi‐Linear Elliptic Problems of Nonmonotone Type
- Explicit and Averaging A Posteriori Error Estimates for Adaptive Finite Volume Methods