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• W3120652556 abstract "Abstract We consider a linear elliptic PDE and a quadratic goal functional. The goal-oriented adaptive FEM algorithm (GOAFEM) solves the primal as well as a dual problem, where the goal functional is always linearized around the discrete primal solution at hand. We show that the marking strategy proposed in [M. Feischl, D. Praetorius and K. G. van der Zee, An abstract analysis of optimal goal-oriented adaptivity, SIAM J. Numer. Anal. 54 (2016), 3, 1423–1448] for a linear goal functional is also optimal for quadratic goal functionals, i.e., GOAFEM leads to linear convergence with optimal convergence rates." @default.
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• W3120652556 date "2020-10-21" @default.
• W3120652556 modified "2023-10-16" @default.
• W3120652556 title "Optimal Convergence Rates for Goal-Oriented FEM with Quadratic Goal Functional" @default.
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• W3120652556 doi "https://doi.org/10.1515/cmam-2020-0044" @default.
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