We derive and implement boundary integral methods for axisymmetric liquid bridge problems in the presence of an axial electric field. The liquid bridge is bounded by solid parallel electrodes placed perpendicular to the axis of symmetry and held at a constant potential difference. The fluid is assumed to be nonconducting and has permittivity different from that of the passive surrounding medium...

Let £ be a $0$-distributive lattice with the least element $0$, the greatest element $1$, and ${rm Z}(£)$ its set of zero-divisors. In this paper, we introduce the total graph of £, denoted by ${rm T}(G (£))$. It is the graph with all elements of £ as vertices, and for distinct $x, y in £$, the vertices $x$ and $y$ are adjacent if and only if $x vee y in {rm Z}(£)$. The basic properties of the ...

The parallelization of distinct element models is discussed with particular attention being paid to the problem of load balancing. One method for solving the load balancing problem through the use of a local, dynamic procedure is given and an implementation on the Cray-T3D and the Intel Paragon is described. The theoretical issues surrounding the load balancing problems are shown to map easily ...