Error estimates for a finite element solution of the diffusion equation based on composite norms
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Publication:5191622
DOI10.1515/JNUM.2009.006zbMath1170.65085MaRDI QIDQ5191622
Abdellatif Agouzal, Konstantin N. Lipnikov, Yuri V. Vassilevski
Publication date: 7 August 2009
Published in: Journal of Numerical Mathematics (Search for Journal in Brave)
Boundary value problems for second-order elliptic equations (35J25) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)
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Cites Work
- A unified approach to a posteriori error estimation using element residual methods
- A note on the Poincaré inequality for convex domains
- An a posteriori residual error estimator for the finite element method on anisotropic tetrahedral meshes
- Convergent adaptive finite elements for the nonlinear Laplacian
- Adaptive finite element methods with convergence rates
- Convergence analysis of a conforming adaptive finite element method for an obstacle problem
- Convergence analysis of an adaptive nonconforming finite element method
- A unifying theory of a posteriori finite element error control
- A Posteriori Error Estimates for Lowest-Order Mixed Finite Element Discretizations of Convection-Diffusion-Reaction Equations
- A Posteriori Error Estimation for Discontinuous Galerkin Finite Element Approximation
- Some A Posteriori Error Estimators for Elliptic Partial Differential Equations
- Explicit error bounds in a conforming finite element method
- Edge Residuals Dominate A Posteriori Error Estimates for Low Order Finite Element Methods
- Convergence of Adaptive Finite Element Methods
- Local problems on stars: A posteriori error estimators, convergence, and performance
- A Convergent Adaptive Algorithm for Poisson’s Equation
- Error reduction and convergence for an adaptive mixed finite element method
- A posteriori error estimators for elliptic equations with discontinuous coefficients
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