Smooth commuting projections in rough settings: Weakly Lipschitz domains and
mixed boundary conditions
Martin Licht
SEW Postdoctoral Fellow, UCSD Department of Mathematics
Abstract:
The numerical analysis of finite element methods in computational
electromagnetism can be developed elegantly and comprehensively if commuting
projection operators between de Rham complexes are available. Hence the
construction of such commuting projection operators is central but has been
elusive in several practical relevant settings of low regularity. In this talk
we describe how to close this gap: we construct smoothed projections over
weakly Lipschitz domains and extend the theory to mixed boundary conditions.