Weconstruct a nonlinear finite volume (FV) scheme for diffusion equationon star-shapedpolygonalmeshes andprove that the scheme ismonotone, i.e., it preserves positivity of analytical solutions forâ€¦ (More)

The numerical solution of large scale multi-dimensional convection diffusion equations often requires efficient parallel algorithms. In this work, we consider the extension of a recently proposedâ€¦ (More)

A nonoverlapping domain decomposition method for some time-dependent convection-diffusion equations is presented. It combines predictor-corrector technique, modified upwind differences withâ€¦ (More)

We investigate the convergence of a finite volume scheme for the approximation of diffusion operators on distorted meshes. The method was originally introduced by Hermeline [F. Hermeline, A finiteâ€¦ (More)

IEEE Transactions on Very Large Scale Integrationâ€¦

2010

Clock distribution in the multi-gigahertz range is getting increasingly difficult due to more stringent requirements for skew and jitter on one hand and the deteriorating supply voltage integrity andâ€¦ (More)

We construct a monotone finite volume scheme on distorted meshes for multimaterial, nonequilibrium radiation diffusion problems, which are described by the coupled radiation diffusion and materialâ€¦ (More)

A new nonlinear iterative method for nonlinear parabolic equation is developed and applied to a multimaterial nonequilibrium radiation diffusion problem on distorted meshes. The new iterative methodâ€¦ (More)