## An optimal adaptive Fictitious Domain Method

- Jan. 23, 2018
- 4:30 p.m.
- LeConte 312

## Abstract

We consider a Fictitious Domain formulation of an elliptic PDE, and solve the arising saddle-point problem by an inexact preconditioned Uzawa iteration. Solving the arising `inner' elliptic problems with an adaptive finite element method, we prove that the overall method converges with the best possible rate. Joint work with S. Berrone (Torino), A. Bonito (Texas A&M), and M. Verani (Milano).