✦ LIBER ✦

The parallel computation of solutions to electrostatic problems using multigrid techniques

✍ Scribed by L. C. Waring; N. Rooney; A. Stewart; V. F. Fusco

Publisher: John Wiley and Sons
Year: 1994
Tongue: English
Weight: 402 KB
Volume: 7
Category: Article
ISSN: 0894-3370
DOI: 10.1002/jnm.1660070107

No coin nor oath required. For personal study only.

✦ Synopsis

The application of multigrid techniques to the computation of the static solutions of electromagnetic field problems governed by Laplace's equation is described. This technique is compared with the conventional successive over-relaxation (SOR) method for solving finite difference problems. In contrast to SOR, the number of iterations of multigrid needed to achieve convergence is largely independent of the grid size. It is shown that the relative performance of multigrid is excellent on large grids where the number of iterations of SOR needed to achieve convergence becomes prohibitively large. The technique is illustrated by applying a parallel implementation of multigrid to find a quasistatic solution of a boxed microstrip problem.

📜 SIMILAR VOLUMES

Real-space multigrid solution of electro

Real-space multigrid solution of electrostatics problems and the Kohn–Sham equations

✍ Thomas L. Beck 📂 Article 📅 1997 🏛 John Wiley and Sons 🌐 English ⚖ 195 KB

A multigrid method for numerically solving electrostatics and quantum chemical problems in real space is discussed. Multigrid techniques are used to solve both the linear Poisson equation and the nonlinear Kohn᎐Sham and Poisson᎐Boltzmann Ž . equations. The electrostatic potential, Laplacian, charge

Application of a parallel algebraic mult

Application of a parallel algebraic multigrid method for the solution of elastoplastic shell problems

✍ S. Meynen; A. Boersma; P. Wriggers 📂 Article 📅 1997 🏛 John Wiley and Sons 🌐 English ⚖ 454 KB 👁 3 views

The algebraic multigrid method (AMG) can be applied as a preconditioner for the conjugate gradient method. Since no special hierarchical mesh structure has to be specified, this method is very well suited for the implementation into a standard finite element program. A general concept for the parall

A modern approach to the solution of pro

A modern approach to the solution of problems of classic elastoplasticity on parallel computers

✍ Arnd Meyer; Detlef Michael 📂 Article 📅 1997 🏛 John Wiley and Sons 🌐 English ⚖ 284 KB 👁 3 views

Dedicated to Prof. Erwin Stein on the occasion of his 65th birthday

Stress intensity factor computation usin

Stress intensity factor computation using the method of fundamental solutions: mixed-mode problems

✍ J. R. Berger; Andreas Karageorghis; P. A. Martin 📂 Article 📅 2006 🏛 John Wiley and Sons 🌐 English ⚖ 177 KB 👁 1 views

A solution to the dynamic range problem

A solution to the dynamic range problem in MRI using a parallel image acquisition

✍ Yosuke Otake; Katsumi Kose; Tomoyuki Haishi 📂 Article 📅 2006 🏛 John Wiley and Sons 🌐 English ⚖ 371 KB

## Abstract A parallel image acquisition system has been developed to solve the dynamic range problem in MRI. The parallel receiver system was tested using 3D large matrix spin echo and gradient echo images. The dynamic range of the receiver system was extended to about 80 dB, which was sufficient

Computation of the time-history response

Computation of the time-history response of dynamic problems using the boundary element method and modal techniques

✍ Horst Lanzerath; Heinz Waller 📂 Article 📅 1999 🏛 John Wiley and Sons 🌐 English ⚖ 581 KB

The boundary element method in combination with modal techniques is used to calculate the response of transient excited structures in the time domain numerically. If the system matrices of a structure are evaluated with a fundamental solution in the frequency domain these matrices become functions o