Mimetic Discretizations of Diffusion Equation and Constructions of Preconditioners PUT TITLE HERE


T-7, MS-B284, Los Alamos National Laboratory, Los Alamos, NM, 87545


We consider how mimetic discretizations can be used to construct preconditioners for the solution of discrete diffusion equations. For cell-centered discretization of temperature we show that different discretization of heat flux can lead to different discretizations of diffusion equation. In particular, it gives a natural way of "lumping" the mass matrix. Then a "simpler" discretization can be used as a preconditioner for a more accurate discretization.