On nonconforming an mixed finite element methods for plate bending problems. The linear case
نویسندگان
چکیده
منابع مشابه
On nonconforming an mixed finite element methods for plate bending problems. The linear case
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 amiloq...
متن کاملLocal Projection-Based Stabilized Mixed Finite Element Methods for Kirchhoff Plate Bending Problems
and Applied Analysis 3 Let {T h } h>0 be a regular family of triangulations ofΩ (cf. [1, 20]); h := max K∈Th h K and h K := diam(K). Let E h be the union of all edges of the triangulation T h and E h the union of all interior edges of the triangulationT h . For any e ∈ E h , denote by h e its length. Based on the triangulationT h , let the finite element spaces be given by Σ h := {τ ∈ Σ : τ| K ...
متن کاملMixed Finite Element Models for Plate Bending Analysis
The theoretical background of mixed finite element models, in general for nonlinear problems, is briefly reexamined. In the first part of the paper, several alternative “mixed” formulations for 3-D continua undergoing large elastic deformations under the action of time dependent external loading are outlined and are examined incisively. It is concluded that mixed finite element formulations, wh...
متن کاملA Mixed Nonconforming Finite Element for Linear Elasticity
This article considers a mixed finite element method for linear elasticity. It is based on a modified mixed formulation that enforces the continuity of the stress weakly by adding a jump term of the approximated stress on interior edges. The symmetric stress are approximated by nonconforming linear elements and the displacement by piecewise constants. We establish (h) error bound in the (broken...
متن کاملNonconforming Finite Element Methods for the Equations of Linear Elasticity
In the adaptation of nonconforming finite element methods to the equations of elasticity with traction boundary conditions, the main difficulty in the analysis is to prove that an appropriate discrete version of Korn's second inequality is valid. Such a result is shown to hold for nonconforming piecewise quadratic and cubic finite elements and to be false for nonconforming piecewise linears. Op...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: RAIRO. Analyse numérique
سال: 1979
ISSN: 0399-0516
DOI: 10.1051/m2an/1979130403691