✍ Scribed by ESCOBAR, FREDDY H. ;JONGKITTINARUKORN, KITTIPHONG ;CIVAN, FARUK
No coin nor oath required. For personal study only.
The solutions of the Poisson equation in regular and irregular shaped physical domains are obtained by the cubature method. The solutions of the three test problems involving regular shaped domains are compared with the analytical solutions and the control-volume, ®ve-point ®nite dierence, Galerkin ®nite element and quadrature numerical solutions. The application of the cubature method for an irregular shaped domain is illustrated by solving the pool boiling in a cylindrical cavity, and the solutions are compared by the quadrature solution. It is shown in all cases that the cubature method can generate signi®cantly more accurate results in a convenient manner with much less computational eort. # 1997 by
📜 SIMILAR VOLUMES
Superconvergence phenomena have been observed numerically in the piecewise Hermite bicubic orthogonal spline collocation solution of Poisson's equation on a rectangle. The purpose of this article is to demonstrate theoretically the superconvergent fourth-order accuracy in the first-order partial der
The automatic three-dimensional mesh generation system for molecular geometries developed in our laboratory is used to solve the Poisson᎐Boltzmann equation numerically using a finite element method. For a number of different systems, the results are found to be in good agreement with those obtained
We study the long-time behaviour of solutions of the Vlasov-Poisson-Fokker-Planck equation for initial data small enough and satisfying some suitable integrability conditions. Our analysis relies on the study of the linearized problems with bounded potentials decaying fast enough for large times. We
This paper presents a multigrid method for numerically solving the coupled Poisson-Schro ¨dinger equations in one dimension for a multilayered HEMT device structure. It is shown that this method produces a good speed-up factor over the non-multigrid approach. This should make it suitable for incorpo
A new multi-multigrid method is presented for solving the modified Poisson᎐Boltzmann equation based on the Kirkwood Hierarchy of equations, with Loeb's closure, on a three-dimensional grid. The results are compared with standard Poisson᎐Boltzmann calculations, which are known to underestimate the lo