Journal of applied mathematics & informatics

  • 제9권1호
  • /
  • Pages.27-43
  • /
  • 2002
  • /
  • 2734-1194(pISSN)
  • /
  • 2234-8417(eISSN)
한국전산응용수학회 (The Korean Society for Computational and Applied Mathematics)
권호 표지

FINITE ELEMENT GALERKIN SOLUTIONS FOR THE STRONGLY DAMPED EXTENSIBLE BEAM EQUATIONS

  • Choo, S.M. (Department of Mathematics, Ulsan University) ;
  • Chung, S.K. (Department of Mathematics Education, Seoul National University) ;
  • Kannan, R. (Department of Mathematics, The University of Texas at Arlington)
  • 발행 : 2002.12.01

⟨ 이전 논문 다음 논문 ⟩

초록

Finite element Galerkin solutions for the strongly damped extensible beam equations are considered. The semidiscrete scheme and a fully discrete time Galerkin method are studied and the corresponding stability and error estimates are obtained. Ratios of numerical convergence are given.

키워드

참고문헌

  1. Math. Z. v.196 Energy convergence results for strongly damped nonlinear wave equations J.D.Avrin
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  3. J. Diff. Eq. v.14 Stability theory for an extensible beam J.M.Ball
  4. Appl. Math. Lett. v.11 L²-error estimate for the strongly damped extensible beam equations S.M.Choo;S.K.Chung
  5. Appl. Math. Comp. v.112 Finite difference approximate solutions for the strongly damped extensible beam equations S.M.Choo;S.K.Chung
  6. J. Math. Appl. Anal. v.29 Free vibrations and dynamic buckling of the extensible beam R.W.Dickey
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  9. M²AN v.23 The convergence of a Galerkin apporximation scheme for an extensible beam T.Geveci;I.Christie
  10. An analysis of the finite element method G.Strang;G.Fix
  11. J. Appl. Mech. v.17 The effect of axial force on the vibration of hinged bars S.Woionwsky-Krieger