کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
498631 | 863005 | 2011 | 13 صفحه PDF | دانلود رایگان |
![عکس صفحه اول مقاله: Computational competition of symmetric mixed FEM in linear elasticity Computational competition of symmetric mixed FEM in linear elasticity](/preview/png/498631.png)
The Navier–Lamé equation for linear elasticity has evoked the design of various non-standard finite element methods (FEM) in order to overcome the locking phenomenon. Recent developments of Arnold and Winther in 2002 involve a stable mixed method which strongly fulfils the symmetry constraint. Subsequently, two H(div) non-conforming symmetric mixed methods arose. This paper comments on the implementation of all those mixed FEM and provides a numerical comparison of the different symmetric mixed schemes for linear elasticity. The computational survey also includes the low-order elements of weak symmetry (PEERS), the non-conforming Kouhia and Stenberg (KS) elements plus the conforming displacement Pk-FEM for k = 1, 2, 3, 4. Numerical experiments confirm the theoretical convergence rates for sufficiently smooth solutions and illustrate the superiority of the symmetric MFEM amongst the methods of second or third order.
► Implementation of symmetric mixed finite element methods for linear Elasticity.
► Symmetric schemes compete with PEERS as well as conforming and non-conforming FEM.
► Numerical experiments confirm the theoretical convergence rates.
► Empirical verification that symmetric mixed FEM are locking free.
► Symmetric mixed superior amongst second- or third-order FEM.
Journal: Computer Methods in Applied Mechanics and Engineering - Volume 200, Issues 41–44, 1 October 2011, Pages 2903–2915