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";
Keynote Lecture: Recent Advances in the Numerical Approximation of Partial Differential Equations (RANAPDE 2021), Milan, Italy (online) (invited); 2021-06-24 - 2021-06-25.

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.