In contrast to most of the existing theory of adaptivefiniteelement methods (AFEM), we design an AFEM for -Δ u =f with right hand side f in H -1 instead ofL2. Thishastwo important consequences. First we formulate our AFEM inthenatural space for f, which is nonlocal. Second, we showthatdecay rates for the data estimator are dominated by thosefor...
Creator:
Nochetto, Ricardo H. (University of Maryland)
Created:
2010-12-03
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
In lattice QCD, a standard discretization of the Dirac operator is given by the Wilson-Dirac operator, representing a nearest neighbor coupling on a 4d torus with 3x4 variables per grid point. The operator is non-symmetric but (usually) positive definite. Its small eigenmodes are non-smooth due to the stochastic nature of the coupling coefficien...
Creator:
Frommer, Andreas (Bergische Universität-Gesamthochschule Wuppertal (BUGH))
Created:
2010-12-03
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
In this talk, we discuss a new class of discontinuous Galerkin methods called 'hybridizable'. Their distinctive feature is that the only globally-coupled degrees of freedom are those of the numerical trace of the scalar variable. This renders them efficiently implementable. Moreover, they are more precise than all other discontinuous Galerkin me...
Creator:
Cockburn, Bernardo (University of Minnesota, Twin Cities)
Created:
2010-11-05
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
