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Original Articles

A Modal Error Indicator Based on a Work-Cancellation Property of Energy-Orthogonal Axisymmetric Finite Elements

Pages 60-76 | Received 27 Aug 2005, Accepted 19 Oct 2007, Published online: 27 Dec 2007

REFERENCES

  • Bathe , K. J. 1982 . Finite Element Procedures in Engineering Analysis , Englewood Cliffs, NJ : Prentice Hall .
  • Reddy , J. N. 1986 . Applied Functional Analysis and Variational Methods in Engineering , Malabar, FL : Krieger Publishing Company .
  • Petyt , M. 1990 . Introduction to Finite Element Vibration Analysis , Cambridge : Cambridge University Press .
  • MacNeal , R. H. 1994 . Finite Elements: Their Design and Performance , New York : Marcel Dekker .
  • Šolín , P. , Segeth , K. and Doležel , I. 2004 . Higher Order Finite Element Methods , Boca Raton, FL : Chapman & Hall/CRC .
  • Peano , A. 1976 . Hierarchies of Conforming Finite Elements for Plane Elasticity and Plate Bending . Comp. & Maths. with Appls. , vol. 2 : 211 – 224 .
  • Zienkiewicz , O. C. and Taylor , R. L. 2000 . The Finite Element Method. Volume 1: The Basis , Oxford : Butterworth-Heinemann .
  • Zienkiewicz , O. C. , de , J. P. , Gago , S. R. and Kelly , D. W. 1983 . The Hierarchical Concept in Finite Element Analysis . Computers and Structures , vol. 16 : 53 – 65 .
  • Felippa , C. A. , Haugen , B. and Militello , C. 1995 . From the Individual Element Test to Finite Element Templates: Evolution of the Patch Test . Int. J. Meth. Eng. , vol. 38 : 199 – 229 .
  • Bergan , P. G. and Nygard , M. K. 1984 . Finite Elements with Increased Freedom in Choosing Shape Functions . Int. J. Meth. Eng. , vol. 20 : 643 – 664 .
  • Felippa , C. A. 1994 . A Survey of Parametrized Variational Principles and Applications to Computational Mechanics . Comp. Meth. Appl. Mech. Eng. , vol. 113 : 109 – 139 .
  • Reddy , J. N. 1984 . Energy and Variational Methods in Applied Mechanics. With an Introduction to the Finite Element Method , New York : John Wiley & Sons .
  • Brito Castro , F. J. and Militello , C. 2001 . A Modal Error Indicator Based on a Work-Cancellation Property of Energy-Orthogonal Finite Elements . International Journal of Computational Engineering Science , vol. 2 : 569 – 582 .
  • Brito Castro , F. J. 2005 . A Modal Error Indicator Based on a Work-Cancellation Property of Energy-Orthogonal Quadrilateral and Hexahedral Finite Elements . International Journal for Computational Methods in Engineering Science and Mechanics , vol. 6 : 127 – 135 .
  • Qu , Z-Q. 2004 . Model Order Reduction Techniques: With Applications in Finite Element Analysis , London : Springer-Verlag .
  • Hemez , F. M. 1993 . Theoretical and Experimental Correlation Between Finite Element Models and Modal Tests in the Context of Large Flexible Space Structures , Ph.D. Thesis University of Colorado .
  • Graff , K. F. 1991 . Wave Motion in Elastic Solids , New York : Dover Publications .
  • Barlow , J. 1989 . More on Optimal Stress Points-Reduced Integration, Element Distorsions, and Error Estimation . Intl. J. Numer. Methods Eng. , vol. 28 : 1487 – 504 .

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