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- W2523642991 abstract "Nous considerons des methodes iteratives pour resoudre le systeme d'equations lineaires resultant de la discretisation par elements finis mixtes du modele de plaque de Reissner-Mindlin. Nous montrons comment construire une matrice de preconditionnement, symetrique, positive et diagonale par blocs, de sorte que le conditionnement du systeme lineaire associe soit independant de la taille du maillage h et aussi de l'epaisseur de la plaque t. Nous expliquons ensuite comment implementer ce preconditionneur et appliquons cette technique pour resoudre efficacement le systeme lineaire indefini associe au modele de plaques. Bien que la formulation mixte du probleme de Reissner-Mindlin ait une structure de point selle commune a ce type de problemes variationnels mixtes, la presence du petit parametre t et le fait que la matrice soit seulement positive semi-definie dans le coin superieur gauche de la partition, creent de nouvelles complications." @default.
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- W2523642991 date "1997-01-01" @default.
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- W2523642991 title "Preconditioning discrete approximations of the Reissner-Mindlin plate model" @default.
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- W2523642991 doi "https://doi.org/10.1051/m2an/1997310405171" @default.
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