Oscillation in a Posteriori Error Estimation
| Autor: | Christian Kreuzer, Andreas Veeser |
|---|---|
| Rok vydání: | 2021 |
| Předmět: |
65N30
65N15 Discretization Oscillation Applied Mathematics Numerical analysis Estimator Numerical Analysis (math.NA) Residual Projection (linear algebra) Computational Mathematics Bounded function A-posteriori-Abschätzung FOS: Mathematics Applied mathematics A priori and a posteriori Mathematics - Numerical Analysis Fehlerabschätzung Mathematics |
| Zdroj: | 10th International Conference on Adaptative Modeling and Simulation. |
| DOI: | 10.23967/admos.2021.067 |
| Popis: | In a posteriori error analysis, the relationship between error and estimator is usually spoiled by so-called oscillation terms, which cannot be bounded by the error. In order to remedy, we devise a new approach where the oscillation has the following two properties. First, it is dominated by the error, irrespective of mesh fineness and the regularity of data and the exact solution. Second, it captures in terms of data the part of the residual that, in general, cannot be quantified with finite information. The new twist in our approach is a locally stable projection onto discretized residuals. Ergebnisberichte des Instituts für Angewandte Mathematik;597 |
| Databáze: | OpenAIRE |
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