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Communication Dans Un Congrès Année : 2003

COMPARISON OF SPARSE LINEAR SYSTEMS SOLVERS ON 3-D SUPERCONDUCTOR PROBLEMS

Résumé

This paper proposes to compare several solvers on two transient magnetic problems using superconductor material. Because of the highly non-linearity of the conductivity law, the two superconductor problems generate particularly illconditioned matrices. We choose to test three solvers. They are the well-known "Incomplete Gauss Bi-Conjugate Gradient" (IGBCG), "Bi-Conjugate Gradient Stabilized" (Bi-CGStab) from H.A. Van Der Vorst and "Generalized Minimum RESidual" (GMRES) from Y. Saad. Our aim is to compare their respective robustness. After having presented solvers and problems, we compare the obtained results. We conclude that Bi-CGStab and GMRES are more robust than IGBCG on both superconductor problems.
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Dates et versions

hal-03856962 , version 1 (17-11-2022)

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  • HAL Id : hal-03856962 , version 1

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G Vincent, Marta Costa-Bouzo, Christophe Guerin, Jean-Louis Coulomb, Olivier Chadebec. COMPARISON OF SPARSE LINEAR SYSTEMS SOLVERS ON 3-D SUPERCONDUCTOR PROBLEMS. EMF 2003, 6th International Symposium on Electric and Magnetic Fields, Oct 2003, Aachen, Germany. ⟨hal-03856962⟩

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