Convergence of Adaptive Wavelet Methods for Goal-Oriented Error Estimation

Wolfgang Dahmen (), Angela Kunoth () and Jürgen Vorloeper ()
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Wolfgang Dahmen: Institut für Geometrie und Praktische Mathematik
Angela Kunoth: Universität Bonn, Institut für Angewandte Mathematik und Institut für Numerische Simulation
Jürgen Vorloeper: Institut für Geometrie und Praktische Mathematik

A chapter in Numerical Mathematics and Advanced Applications, 2006, pp 39-61 from Springer

Abstract: Abstract We investigate adaptive wavelet methods which are goal-oriented in the sense that a functional of the solution of a linear elliptic PDE is computed up to arbitrary accuracy at possibly low computational cost measured in terms of degrees of freedom. In particular, we propose a scheme that can be shown to exhibit convergence to the target value without insisting on energy norm convergence of the primal solution. The theoretical findings are complemented by first numerical experiments.

Keywords: Energy Norm; Error Representation; Dual Solution; Primal Solution; Target Accuracy (search for similar items in EconPapers)
Date: 2006
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-540-34288-5_3

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DOI: 10.1007/978-3-540-34288-5_3

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