Explicit a posteriori error estimates for eigenvalue analysis of heterogeneous elastic structures.

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An a posteriori error estimator is developed for the eigenvalue analysis of three-dimensional heterogeneous elastic structures. It constitutes an extension of a well-known explicit estimator to heterogeneous structures. We prove that our estimates are independent of the variations in material properties and independent of the polynomial degree of finite elements. Finally, we study numerically the effectivity of this estimator on several model problems.

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28 p.

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Walsh, Timothy Francis; Reese, Garth M. & Hetmaniuk, Ulrich L. July 1, 2005.

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Description

An a posteriori error estimator is developed for the eigenvalue analysis of three-dimensional heterogeneous elastic structures. It constitutes an extension of a well-known explicit estimator to heterogeneous structures. We prove that our estimates are independent of the variations in material properties and independent of the polynomial degree of finite elements. Finally, we study numerically the effectivity of this estimator on several model problems.

Physical Description

28 p.

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  • Report No.: SAND2005-4237
  • Grant Number: AC04-94AL85000
  • DOI: 10.2172/923176 | External Link
  • Office of Scientific & Technical Information Report Number: 923176
  • Archival Resource Key: ark:/67531/metadc895763

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Office of Scientific & Technical Information Technical Reports

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  • July 1, 2005

Added to The UNT Digital Library

  • Sept. 27, 2016, 1:39 a.m.

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  • Nov. 28, 2016, 2:20 p.m.

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Walsh, Timothy Francis; Reese, Garth M. & Hetmaniuk, Ulrich L. Explicit a posteriori error estimates for eigenvalue analysis of heterogeneous elastic structures., report, July 1, 2005; United States. (digital.library.unt.edu/ark:/67531/metadc895763/: accessed May 22, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.