A note on multilevel based error estimation
DOI10.1515/cmam-2016-0013zbMath1342.65206OpenAlexW2313469493MaRDI QIDQ302259
Reinhold Schneider, Helmut Harbrecht
Publication date: 5 July 2016
Published in: Computational Methods in Applied Mathematics (Search for Journal in Brave)
Full work available at URL: http://edoc.unibas.ch/43700/1/20160719171920_578e44f85d335.pdf
a posteriori error estimateshierarchical error estimationmultilevel finite elementsviolated Galerkin orthogonality
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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- Stable multiscale bases and local error estimation for elliptic problems
- Uniform convergence of multigrid V-cycle on adaptively refined finite element meshes for second order elliptic problems
- Multilevel frames for sparse tensor product spaces
- Adaptive frame methods for elliptic operator equations
- A feedback finite element method with a posteriori error estimation. I: The finite element method and some basic properties of the a posteriori error estimator
- Adaptive wavelet methods. II: Beyond the elliptic case
- Fast computation in adaptive tree approximation
- Adaptive finite element methods with convergence rates
- A robust adaptive strategy for the nonlinear Poisson equation
- Optimality of a standard adaptive finite element method
- A unifying theory of a posteriori finite element error control
- Convergence of an adaptive \( hp\) finite element strategy in one space dimension
- Adaptive finite element solution of eigenvalue problems: Balancing of discretization and iteration error
- An optimal adaptive wavelet method without coarsening of the iterands
- Parallel Multilevel Preconditioners
- A‐posteriori error estimates for the finite element method
- Multilevel Algorithms Considered as Iterative Methods on Semidefinite Systems
- Adaptive Solution of Operator Equations Using Wavelet Frames
- Data Oscillation and Convergence of Adaptive FEM
- Adaptive wavelet methods for elliptic operator equations: Convergence rates
- A Convergent Adaptive Algorithm for Poisson’s Equation
- Adaptive frame methods for elliptic operator equations: the steepest descent approach
- LOCALLY EFFICIENT AND RELIABLEA POSTERIORIERROR ESTIMATORS FOR DIRICHLET PROBLEMS
- Finite Elements
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