Lower Order Rectangular Nonconforming Mixed Finite Elements for Plane Elasticity

2008 ◽  
Vol 46 (1) ◽  
pp. 88-102 ◽  
Author(s):  
Jun Hu ◽  
Zhong-Ci Shi
Keyword(s):  
Finite Elements ◽  
Lower Order ◽  
Mixed Finite Elements ◽  
Plane Elasticity

scholarly journals RECTANGULAR MIXED FINITE ELEMENTS FOR ELASTICITY

2005 ◽  
Vol 15 (09) ◽  
pp. 1417-1429 ◽  
Author(s):  
DOUGLAS N. ARNOLD ◽  
GERARD AWANOU
Keyword(s):  
Finite Elements ◽  
Vector Fields ◽  
Mixed Finite Elements ◽  
Symmetric Tensor ◽  
Plane Elasticity ◽  
Discrete Version ◽  
Tensor Fields ◽  
Piecewise Polynomials ◽  
The Family ◽  
Differential Complex

We present a family of stable rectangular mixed finite elements for plane elasticity. Each member of the family consists of a space of piecewise polynomials discretizing the space of symmetric tensor fields in which the stress field is sought, and another to discretize the space of vector fields in which the displacement is sought. These may be viewed as analogues in the case of rectangular meshes of mixed finite elements recently proposed for triangular meshes. As for the triangular case the elements are closely related to a discrete version of the elasticity differential complex.

scholarly journals Stabilization of low-order mixed finite elements for the plane elasticity equations

2017 ◽  
Vol 73 (3) ◽  
pp. 363-373 ◽  
Author(s):  
Zhenzhen Li ◽  
Shaochun Chen ◽  
Shuanghong Qu ◽  
Minghao Li
Keyword(s):  
Finite Elements ◽  
Mixed Finite Elements ◽  
Plane Elasticity ◽  
Elasticity Equations ◽  
Low Order

Symmetric coupling of boundary elements and Raviart-Thomas-type mixed finite elements in elastostatics

1996 ◽  
Vol 75 (2) ◽  
pp. 153-174 ◽  
Author(s):  
Ulrich Brink ◽  
Carsten Carstensen ◽  
Erwin Stein
Keyword(s):  
Finite Elements ◽  
Mixed Finite Elements ◽  
Boundary Elements

A Discretization Scheme for a Quasi-Hydrodynamic Semiconductor Model

1997 ◽  
Vol 07 (07) ◽  
pp. 935-955 ◽  
Author(s):  
Ansgar Jüngel ◽  
Paola Pietra
Keyword(s):  
Finite Elements ◽  
Mixed Finite Elements ◽  
Exponential Fitting ◽  
Discretization Scheme ◽  
Drift Diffusion Model ◽  
Drift Diffusion ◽  
Current Conservation ◽  
Numerical Tests ◽  
Finite Elements Methods ◽  
Degenerate Type

A discretization scheme based on exponential fitting mixed finite elements is developed for the quasi-hydrodynamic (or nonlinear drift–diffusion) model for semiconductors. The diffusion terms are nonlinear and of degenerate type. The presented two-dimensional scheme maintains the good features already shown by the mixed finite elements methods in the discretization of the standard isothermal drift–diffusion equations (mainly, current conservation and good approximation of sharp shapes). Moreover, it deals with the possible formation of vacuum sets. Several numerical tests show the robustness of the method and illustrate the most important novelties of the model.

Numerical modeling of two-phase binary fluid mixing using mixed finite elements

2012 ◽  
Vol 16 (4) ◽  
pp. 1101-1124 ◽  
Author(s):  
Shuyu Sun ◽  
Abbas Firoozabadi ◽  
Jisheng Kou
Keyword(s):  
Numerical Modeling ◽  
Finite Elements ◽  
Mixed Finite Elements ◽  
Fluid Mixing ◽  
Two Phase ◽  
Binary Fluid
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