Automatic Goal-Oriented hp-Adaptivity Without Error Estimates

Pavel Šolín () and Leszek Demkowicz ()
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Pavel Šolín: Rice University, CAAM
Leszek Demkowicz: The University of Texas at Austin, ICES

A chapter in Numerical Mathematics and Advanced Applications, 2004, pp 775-785 from Springer

Abstract: Summary We propose and test a fully automatic, goal-oriented hp-adaptive strategy for elliptic problems. The method combines two approaches: the standard goaloriented adaptivity based on a simultaneous solution of the primal and dual problem, and a recently proposed automatic hp-adaptive strategy based on minimizing the projection-based interpolation error of a reference solution.

Date: 2004
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-18775-9_76

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DOI: 10.1007/978-3-642-18775-9_76

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