This paper describes a numerical solution for plane elasticity problem. It includes algorithms for discretization by mixed finite element methods. The discrete scheme allows the utilization of Brezzi Douglas Marini element (BDM1) for the stress tensor and piecewise constant elements for the displacement. The numerical results are compared with some previously published works or with others comi...

There are very few results on mixed finite element methods on surfaces. A theory for the study of such methods was given recently by Holst and Stern, using a variational crimes framework in the context of finite element exterior calculus. However, we are not aware of any numerical experiments where mixed finite elements derived from discretizations of exterior calculus are used for a surface do...

This paper is concerned with stochastic incompressible Navier–Stokes equations multiplicative noise in two dimensions respect to periodic boundary conditions. Based on the Helmholtz decomposition of noise, semi-discrete and fully discrete time-stepping algorithms are proposed. The convergence rates for mixed finite element methods based time-space approximation probability velocity pressure obt...

Some least-squares mixed finite element methods for convectiondiffusion problems, steady or nonstationary, are formulated, and convergence of these schemes is analyzed. The main results are that a new optimal a priori L2 error estimate of a least-squares mixed finite element method for a steady convection-diffusion problem is developed and that four fully-discrete leastsquares mixed finite elem...

this research work is devoted to the development of a mathematical model for the simulation of the flow of polymeric melts through the die region of extruders. a set of governing equations are solved using finite element method. standard galerkin technique is used in conjunction with the mixed scheme to solve the flow equation. due to the non-linear nature of global equations, the picard iterat...

We introduce a new mixed discontinuous/continuous Galerkin finite element for solving the 2and 3-dimensional wave equations and equations of incompressible flow. The element, which we refer to as P1DG-P2, uses discontinuous piecewise linear functions for velocity and continuous piecewise quadratic functions for pressure. The aim of introducing the mixed formulation is to produce a new flexible ...

In this paper, we discuss the numerical solutions of the incompressible material problems on a polygon using a semi-discrete method [HH99]. After a suitable transformation of the coordinates, the original boundary value problem (BVP) is reduced to a discontinuous coefficients problem on a rectangle, which is semi-discreted to a BVP of a system of ordinary differential equations (O.D.E’s). After...

We propose a 3D conforming-nonconforming mixed finite element for solving symmetric stress Stokes equations. The low-order conforming finite elements are not inf-sup stable. The low-order nonconforming finite elements do not satisfy the Korn inequality. The proposed finite element space consists of two conforming components and one nonconforming component. We prove that the discrete inf-sup con...