Goal-oriented adaptive finite element methods with optimal computational complexity

We consider a linear symmetric and elliptic PDE and a linear goal functional. We design and analyze a goal-oriented adaptive finite element method, which steers the adaptive mesh-refinement as well as the approximate solution of the arising linear systems by means of a contractive iterative solver l...

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Bibliographic Details
Published in:	Numerische Mathematik Vol. 153; no. 1; pp. 111 - 140
Main Authors:	Becker, Roland, Gantner, Gregor, Innerberger, Michael, Praetorius, Dirk
Format:	Journal Article
Language:	English
Published:	Berlin/Heidelberg Springer Berlin Heidelberg 01.01.2023 Springer Nature B.V Springer Verlag
Subjects:	Adaptive algorithms Complexity Computing costs Conjugate gradient method Convergence Finite element method Iterative methods Linear systems Mathematical analysis Mathematical and Computational Engineering Mathematical and Computational Physics Mathematical Methods in Physics Mathematics Mathematics and Statistics Numerical Analysis Numerical and Computational Physics Optimization Simulation Theoretical 65N50 65Y20 41A25 65N22 65N30
ISSN:	0029-599X, 0945-3245
Online Access:	Get full text
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