Codice | 54/2015 |
Titolo | Adaptive Spectral Galerkin Methods with Dynamic Marking |
Data | 2015-11-02 |
Autore/i | Canuto, C.; Nochetto, R. H.; Stevenson, R.; Verani, M. |
Link | Download full text |
Abstract | The convergence and optimality theory of adaptive Galerkin methods is
almost exclusively based on the Dorfler marking. This entails a fixed
parameter and leads to a contraction constant bounded below away from
zero. For spectral Galerkin methods this is a severe limitation which affects performance. We present a dynamic marking strategy that allows for a super-linear relation between consecutive discretization errors, and show exponential convergence with linear computational complexity whenever the solution belongs to a Gevrey approximation class.
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