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Finite element quasi-interpolation and best approximation

Prof. Alexandre Ern
Institution: 
CERMICS, ENPC Paris-Tech and Ecole Polytechnique Paris, France
Location: 
A-005
Schedule: 
Thursday, May 11, 2017 - 16:30
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. Link: http://cermics.enpc.fr/~ern/home.html

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