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Numerical Analysis Seminar

Date: September 28, 2017

Time: 3:00PM - 4:00PM

Location: BLOC 506A

Speaker: Rob Stevenson, University of Amsterdam


Title: An optimal adaptive Fictitious Domain Method

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. So far our results apply to two-dimensional domains and lowest order finite elements (continuous piecewise linears on the fictitious domain, and piecewise constants on the boundary of the physical domain). Joint work with S. Berrone (Torino), A. Bonito (Texas A&M), and M. Verani (Milano).