Summary: arXiv:0902.0788v1[math.AP]4Feb2009
On the characterization of asymptotic cases of the
diffusion equation with rough coefficients and
applications to preconditioning
Burak Aksoylu
Louisiana State University
Department of Mathematics &
Center for Computation and Technology
Baton Rouge, LA 70803, USA
Horst R. Beyer
Louisiana State University
Center for Computation and Technology
Baton Rouge, LA 70803, USA
February 4, 2009
Abstract
We consider the diffusion equation in the setting of operator theory. In
particular, we study the characterization of the limit of the diffusion opera-
tor for diffusivities approaching zero on a subdomain 1 of the domain of
integration of . We generalize Lions' results to covering the case of dif-
fusivities which are piecewise C1

Source: Aksoylu, Burak - Center for Computation and Technology & Department of Mathematics, Louisiana State University

Collections: Computer Technologies and Information Sciences