Physical review. E, Statistical, nonlinear, andâ€¦

2005

The first detailed quantitative observations of the two-dimensional collapse of a granular column along a horizontal channel are presented for a variety of materials. Together with the complementaryâ€¦ (More)

In this paper the gradâ€“div stabilization for the incompressible Navierâ€“Stokes finite element approximations is considered from two different viewpoints: (i) as a variational multiscale approach forâ€¦ (More)

The application of a non-overlapping domain decomposition method to the solution of a stabilized finite element method for elliptic boundary value problems is considered. We derive an a-posterioriâ€¦ (More)

We consider a non-overlapping domain decomposition method for diffusion-reaction problems which is known to converge strongly from previous work. We derive an a posteriori estimate which bounds theâ€¦ (More)

Conforming finite-element approximations are considered for the incompressible Navierâ€“ Stokes equations with nonlinear terms written in the convection or rotation forms. Implicit time integrationâ€¦ (More)

with an artificial reaction term cu where c âˆ¼ 1/âˆ†t. We consider stabilized conforming finite element (FE) schemes with equal-order interpolation of velocity/pressure for problem (3)â€“(4) with emphasisâ€¦ (More)

We apply an iterative substructuring algorithm with transmission conditions of Robinâ€“Robin type to the discretized Oseen problem appearing as a linearized variant of the incompressible Navierâ€“Stokesâ€¦ (More)