Talks and Poster Presentations (without Proceedings-Entry):
R. Becker, G. Gantner, M. Innerberger, D. Praetorius:
"Goal-oriented adaptive finite element methods with optimal computational complexity";
Talk: Mathematisches Kolloquium,
Freiburg (online) (invited);
2022-02-01.
English abstract:
We consider a linear symmetric and elliptic PDE and a linear goal
functional. We design a goal-oriented adaptive finite element method
(GOAFEM), which steers the adaptive mesh-refinement as well as the
approximate solution of the arising linear systems by means of a
contractive iterative solver like the optimally preconditioned
conjugate gradient method (PCG). We prove linear convergence of the
proposed adaptive algorithm with optimal algebraic rates with respect
to the number of degrees of freedom as well as the computational cost.
Created from the Publication Database of the Vienna University of Technology.