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Displacement‐pseudostress formulation for the linear elasticity spectral problem.

  • Published In: Numerical Methods for Partial Differential Equations, 2023, v. 39, n. 3. P. 1996 1 of 3

  • Database: Academic Search Ultimate 2 of 3

  • Authored By: Inzunza, Daniel; Lepe, Felipe; Rivera, Gonzalo 3 of 3

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]

Additional Information

  • Source:Numerical Methods for Partial Differential Equations. 2023/05, Vol. 39, Issue 3, p1996
  • Document Type:Article
  • Subject Area:Law
  • Publication Date:2023
  • ISSN:0749-159X
  • DOI:10.1002/num.22955
  • Accession Number:162434902
  • Copyright Statement:Copyright of Numerical Methods for Partial Differential Equations is the property of Wiley-Blackwell and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)

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