✦ LIBER ✦

Preconditioners for the indefinite linear system arising from thehpdiscretization of Maxwell's equations

✍ Scribed by Ledger, P. D.

Publisher: John Wiley and Sons
Year: 2009
Tongue: English
Weight: 383 KB
Volume: 25
Category: Article
ISSN: 1069-8299
DOI: 10.1002/cnm.1131

No coin nor oath required. For personal study only.

✦ Synopsis

Abstract

This paper describes a preconditioner for the iterative solution to the indefinite linear equation system that is obtained when the vector wave equation is discretized by higher‐order H(curl)‐conforming finite elements. The preconditioner is based on a decomposition of the H(curl)‐conforming functions into blocks comprising lower‐order functions and higher‐order functions. Fast convergence is obtained when the grid spacing is sufficiently small. A method for selecting suitable grid spacings is proposed and a series of numerical examples are included to demonstrate the effectiveness of the approach. Copyright © 2008 John Wiley & Sons, Ltd.

📜 SIMILAR VOLUMES

A modified SSOR preconditioner for spars

A modified SSOR preconditioner for sparse symmetric indefinite linear systems of equations

✍ X. Chen; K. C. Toh; K. K. Phoon 📂 Article 📅 2006 🏛 John Wiley and Sons 🌐 English ⚖ 216 KB

Evaluating the LCD algorithm for solving

Evaluating the LCD algorithm for solving linear systems of equations arising from implicit SUPG formulation of compressible flows

✍ Lucia Catabriga; Alvaro L. G. A. Coutinho; Leopoldo P. Franca 📂 Article 📅 2004 🏛 John Wiley and Sons 🌐 English ⚖ 454 KB 👁 1 views

The Solvability of Boundary Equations in

The Solvability of Boundary Equations in Mixed Problems for Non-stationary Maxwell's System

✍ I. Yu. Chudinovich 📂 Article 📅 1997 🏛 John Wiley and Sons 🌐 English ⚖ 341 KB 👁 1 views

The work deals with boundary equations appearing if non-stationary problems for Maxwell system are solved with the help of surface-retarded potentials. The solvability of these equations is proved in some functional spaces of Sobolev type.

A Comparison of the Model Order Reductio

A Comparison of the Model Order Reduction Techniques for Linear Systems Arising from VLSI Interconnection Simulation

✍ E. Fatih Yetkin; Hasan DAĞ 📂 Article 📅 2004 🏛 John Wiley and Sons ⚖ 284 KB 👁 2 views

On a resolvent estimate of the Stokes sy

On a resolvent estimate of the Stokes system in a half space arising from a free boundary problem for the Navier–Stokes equations

✍ Y. Shibata; S. Shimizu 📂 Article 📅 2009 🏛 John Wiley and Sons 🌐 English ⚖ 228 KB 👁 1 views

## Abstract In this paper we consider a resolvent problem of the Stokes operator with some boundary condition in the half space, which is obtained as a model problem arising in evolution free boundary problems for viscous, incompressible fluid flow. We show standard resolvent estimates in the __L~q