On nonconforming an mixed finite element methods for plate bending problems. The linear case
نویسندگان
چکیده
This paper deals with the approximate solution ofhnear 4th-order elhptic boundaryvalue problems by thefimte element method For a displacement method using the nonconforming plate element of M orley and for a mixed method known as Herrmann-Miyoshi-scheme quasi optimal Land L^-error estimâtes are denved The proof essenüally uses L-estimâtes for regularized Green's functwns and then disaere amiloquts Resumé — Cet article traite de l approximation par éléments finis de problèmes aux limites elliptiques linéaires du 4 ordre On obtient des majorations de Verreur quasi optimales dans les normes L et L°° pour une methode "déplacement" non conforme utilisant Vêlement de Morley et pour une methode mixte connue sous le nom de schema d'Herrmann-Miyoshi La démonstration utilise de façon essentielle des estimations en norme L pour les fonctions de Green régularisées et pour leurs analogues discrets
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