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Start Over Topic eigenvalue problems Topic elasticity Topic finite element method Journal numerical methods for partial differential equations Publisher wiley-blackwell
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1. Displacement‐pseudostress formulation for the linear elasticity spectral problem.

Author

Inzunza, Daniel, Lepe, Felipe, and Rivera, Gonzalo

Subjects
ELASTICITY, COMPACT operators, FINITE element method, OPERATOR theory
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]

Published
2023
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