4.6 Article

WEIGHTED MARKING FOR GOAL-ORIENTED ADAPTIVE FINITE ELEMENT METHODS

Journal

SIAM JOURNAL ON NUMERICAL ANALYSIS
Volume 49, Issue 6, Pages 2451-2469

Publisher

SIAM PUBLICATIONS
DOI: 10.1137/100794298

Keywords

finite element method; adaptivity; goal-oriented algorithm; quasi-optimality

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We propose a new goal-oriented adaptive finite element method, which is based on the weighting of the residuals from the primal and dual problem at each step of the iteration. Our main result is the quasi-optimality of the resulting algorithm. Numerical experiments are reported, showing the convergence behavior of the algorithm.

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