Name
Title | ||
|---|---|---|
Finite Element Spectral Analysis for the Mixed Formulation of the Elasticity Equations. |
Abstract | ||
|---|---|---|
The aim of this paper is to analyze the linear elasticity eigenvalue problem formulated in terms of the stress tensor and the rotation. This is achieved by considering a mixed variational formulation in which the symmetry of the stress tensor is imposed weakly. We show that a discretization of the mixed eigenvalue elasticity problem with reduced symmetry based on the lowest order Arnold-Falk-Winther element provides a correct approximation of the spectrum. We also prove quasi-optimal error estimates. Finally, we report some numerical experiments. |
Year | DOI | Venue |
|---|---|---|
2013 | 10.1137/120863010 | SIAM JOURNAL ON NUMERICAL ANALYSIS |
Keywords | Field | DocType |
mixed elasticity equations,eigenvalue problem,finite elements,error estimates | Discretization,Mathematical optimization,Mathematical analysis,Finite element method,Linear elasticity,Spectral analysis,Elasticity (economics),Cauchy stress tensor,Eigenvalues and eigenvectors,Mathematics | Journal |
Volume | Issue | ISSN |
51 | 2 | 0036-1429 |
Citations | PageRank | References |
6 | 0.74 | 1 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Salim Meddahi | 1 | 73 | 16.34 |
| David Mora | 2 | 34 | 8.92 |
| R. Rodríguez | 3 | 72 | 19.18 |