Analysis of Some Quadrilateral Nonconforming Elements for Incompressible Elasticity

نویسنده

  • Zhimin Zhang
چکیده

In this work, some nonconforming elements on arbitrary quadrilateral meshes in solving incompressible elastic equations are analyzed. A uniform optimal convergence rate is established at the incompressible limit ν = 0.5 for both displacement and stresses (or pressure in the case of incompressible flow).

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

A Class of Nonconforming Quadrilateral Finite Elements for Incompressible Flow∗

This paper focuses on the low-order nonconforming rectangular and quadrilateral finite elements approximation of incompressible flow. Beyond the previous research works [9, 8, 4], we propose a general strategy to construct the basis functions. Under several specific constraints, the optimal error estimates are obtained, i.e. the first order accuracy of the velocities in H-norm and the pressure ...

متن کامل

Publications of Douglas N. Arnold

• Mixed methods for elastodynamics with weak symmetry. • Mixed finite elements for elasticity on quadrilateral meshes. • Finite element differential forms on curvilinear cubic meshes and their approximation properties. Numer. • Nonconforming tetrahedral mixed finite elements for elasticity. • Mixed finite element approximation of the vector Laplacian with Dirichlet boundary conditions. Math. • ...

متن کامل

P1-Nonconforming Quadrilateral Finite Element Methods for Second-Order Elliptic Problems

A P1-nonconforming quadrilateral finite element is introduced for second-order elliptic problems in two dimensions. Unlike the usual quadrilateral nonconforming finite elements, which contain quadratic polynomials or polynomials of degree greater than 2, our element consists of only piecewise linear polynomials that are continuous at the midpoints of edges. One of the benefits of using our elem...

متن کامل

A comparative study of some time { stepping

We present a numerical comparison of some time{stepping schemes for the discretization and solution of the nonstationary incompressible Navier{Stokes equations. The spatial discretization is by nonconforming quadrilateral nite elements which satisfy the LBB{condition. The major focus is on the diierences in accuracy and eeciency between the Backward Euler-, Crank{Nicolson-or Fractional{step{{sc...

متن کامل

On Nonconforming Linear–constant Elements for Some Variants of the Stokes Equations

The use of nonconforming piecewise linear finite elements for the velocity field and piecewise constant finite elements for the pressure fields, as suggested by Crouzeix and Raviart, gives a simple stable, optimal order approximation to the Stokes equations. As is well-known, however, this method is not stable for the very similar system describing the deformation of an incompressible linearly ...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 1997