Asymptotically exact functional error estimators based on superconvergent gradient recovery
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Publication:818586
DOI10.1007/s00211-005-0655-9zbMath1108.65108OpenAlexW2030588767MaRDI QIDQ818586
Publication date: 21 March 2006
Published in: Numerische Mathematik (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00211-005-0655-9
Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50)
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Cites Work
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- On the asymptotic exactness of error estimators for linear triangular finite elements
- Acceleration of convergence for finite element solutions of the Poisson equation
- On goal-oriented error estimation for elliptic problems: Application to the control of pointwise errors
- Superconvergence recovery technique anda posteriori error estimators
- The post-processing approach in the finite element method—part 1: Calculation of displacements, stresses and other higher derivatives of the displacements
- The post-processing approach in the finite element method—Part 2: The calculation of stress intensity factors
- Adjoint methods for PDEs: a posteriori error analysis and postprocessing by duality
- An optimal control approach to a posteriori error estimation in finite element methods
- The post-processing approach in the finite element method—Part 3:A posteriori error estimates and adaptive mesh selection
- A Priori Error Analysis of Residual-Free Bubbles for Advection-Diffusion Problems
- Aposteriori error estimation for finite element solutions of Helmholtz' equation—Part II: estimation of the pollution error
- Asymptotically Exact A Posteriori Error Estimators, Part I: Grids with Superconvergence
- Asymptotically Exact A Posteriori Error Estimators, Part II: General Unstructured Grids
- Asymptotically exact a posteriori estimators for the pointwise gradient error on each element in irregular meshes. Part II: The piecewise linear case
- Duality-based adaptivity in the hp-finite element method
- Adjoint Recovery of Superconvergent Functionals from PDE Approximations
- Analysis of recovery type a posteriori error estimators for mildly structured grids
- A POSTERIORI ERROR ESTIMATORS VIA BUBBLE FUNCTIONS
- Generalized Green's Functions and the Effective Domain of Influence
- Gradient recovery type a posteriori error estimate for finite element approximation on non-uniform meshes
- Gradient recovery type a posteriori error estimates for finite element approximations on irregular meshes