Iterative Solvers for Singular Symmetric Linear Systems in Low Frequency Electromagnetics

0 avis

Iterative Solvers for Singular Symmetric Linear Systems in Low Frequency Electromagnetics

Archive ouverte : Article de revue

Tinzefte, Abdellatif | Le Menach, Yvonnick | Piriou, Francis

Edité par HAL CCSD ; Institute of Electrical and Electronics Engineers

International audience. In this paper, several methods based on Krylov methods are proposed to solve the singular linear systems from finite element method. Indeed, in the magnetostatic case, for A-formulation the system to solve is singular but it is auto-gauged by Krylov methods. However, due to the computation of residual vector all the methods (CG, MRTR, SQMR, MINRES) do not present the same behavior. Moreover, these methods are applied to eddy current problem. The numerical behavior are compared and analyzed.

Langue: Anglais

Date de publication: 2009-03-01

Source: ISSN: 0018-9464

Consulter en ligne

Consulter le document

Suggestions

Du même auteur

Parallel Direct Solver for the Finite Integration Technique in Electrokinet...

Archive ouverte: Article de revue

Tinzefte, Abdellatif | 2010-07-19

International audience. The finite integration technique allows the simulation of real-world electromagnetic field problems with complex geometries. It provides a discrete reformulation of Maxwell's equations in the...

A New Preconditionner Based on F.I.T Applied To Solve F.E.M Problem

Archive ouverte: Communication dans un congrès

Tinzefte, Abdellatif | 2012-11-11

International audience. This paper deals with a preconditionner based on Finite Integration Technique (FIT) for solving Finite Element Method (FEM) problem. The geometry are twice meshed, one regular coarse used by ...

Comparison of Residual and Hierarchical Finite Element Error Estimators in ...

Archive ouverte: Communication dans un congrès

Tang, Zuqi | 2013-07

International audience. The finite element computation of eddy current problems gives numerical error. This error cannot be calculated, but can only be estimated. Among all error estimators already devel...

Du même sujet

Impact of aluminum casing on high-frequency transformer leakage inductance ...

Archive ouverte: Communication dans un congrès

Bakri, Reda | 2022-09-05

International audience. High-Frequency (HF) transformer is a central part of isolated HF power converters. Its parameters, in particular leakage inductance and losses, have a significant impact on the overall conver...

Training Sample Selection Strategy applied to CNN in Magneto-Thermal couple...

Archive ouverte: Article de revue

Gong, Ruohan | 2021-02-09

International audience

Guaranteed Quantity of Interest Error Estimate Based on Equilibrated Flux R...

Archive ouverte: Article de revue

Tang, Zuqi | 2021-04-07

International audience

Stratégies d'optimisation basées sur la méthode des plans d'expériences pou...

Archive ouverte: Article de revue

Vivier, Stéphane | 2005-10

International audience. The study of a system is often achieved by the determination of relations linking the studied variables to input data. In some cases, the explicit writing of these functions is not easy, and ...

Solving Magnetodynamic Problems via Normal Form Method

Archive ouverte: Article de revue

Ugwuanyi, Nnaemeka S. | 2022-03

International audience. Closed-form formulations are difficult to find when the material behavior law is nonlinear. A linear approximation, on the otherhand, has a very narrow range of validity. In this communicatio...

Two Guaranteed Equilibrated Error Estimators for Harmonic Formulations in E...

Archive ouverte: Article de revue

Creusé, Emmanuel | 2019-03-15

International audience. In this paper, two guaranteed equilibrated error estimators are proposed and compared for the 3D harmonic magnetodynamic problem of Maxwell's system. This system is recasted in the classical ...

Chargement des enrichissements...