Finite element quasi-interpolation and best approximation


Thursday, 11 May, 2017 - 16:30

Speaker: Prof. Alexandre Ern, CERMICS, ENPC Paris-Tech and Ecole Polytechnique Paris, France

Place: Room A-005, SISSA main Campus, Via Bonomea 265, Trieste
Time: 4:30PM
Date: Thursday, May 11, 2017
The seminar is also part of the activity of the local SISSA student SIAM chapter.
Title : Finite element quasi-interpolation and best approximation 

Abstract : We introduce quasi-interpolation operators for scalar- and vector-valued finite element spaces with some continuity across mesh interfaces. These operators are stable in L1, are projections, and deliver optimal local approximation estimates in Sobolev spaces. The theory is illustrated on H1-, H(curl)- and H(div)-conforming finite element spaces. This is joint work with J.-L. Guermond.