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Displacement‐pseudostress formulation for the linear elasticity spectral problem.
- Source :
- Numerical Methods for Partial Differential Equations; May2023, Vol. 39 Issue 3, p1996-2017, 22p
- Publication Year :
- 2023
-
Abstract
- In this paper we analyze a mixed displacement‐pseudostress formulation for the elasticity eigenvalue problem. We propose a finite element method to approximate the pseudostress tensor with Raviart–Thomas elements and the displacement with piecewise polynomials. With the aid of the classic theory for compact operators, we prove that our method is convergent and does not introduce spurious modes. Error estimates for the proposed method are derived. Finally, we report some numerical tests supporting the theoretical results. [ABSTRACT FROM AUTHOR]
- Subjects :
- ELASTICITY
COMPACT operators
FINITE element method
OPERATOR theory
Subjects
Details
- Language :
- English
- ISSN :
- 0749159X
- Volume :
- 39
- Issue :
- 3
- Database :
- Complementary Index
- Journal :
- Numerical Methods for Partial Differential Equations
- Publication Type :
- Academic Journal
- Accession number :
- 162434902
- Full Text :
- https://doi.org/10.1002/num.22955