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Applicable Analysis
An International Journal
Volume 101, 2022 - Issue 9
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Research Article

Structural acoustic problem and dynamic nonlinear plate equations

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Pages 3210-3230 | Received 23 May 2018, Accepted 08 Oct 2020, Published online: 30 Oct 2020

References

  • Chueshov I, Lasiecka I. Von Karman evolution, well-posedness and long time dynamics. New York: Springer; 2010.
  • Bilbao S. A family of conservative finite difference schemes for the dynamical von Karman plate equations. Numer Meth Partial Differ Equ. 2007;24/1:193–218.
  • Glowinski R, Pironneau O. Numerical methods for the first biharmonic equation and for the two dimensional stokes problem. SIAM Rev. 1979;21/2:167–212.
  • Lions JL, Magenes E. Problèmes aux limites non homogènes et applications. Vol. 1, Paris, Dunod: Gauthier-Villars; 1968.
  • Ciarlet PG, Rabier R. Les equations de von Karman. New York: Springer; 1980. (Lecture Notes in Mathematics; 826).
  • Pereira DC DC, Raposo CA, Avila AJ. Numerical solution and exponential decay to von Karman system with frictional damping. Int J Math Information Sci. 2014;8/4:1575–1582.
  • Hamilton B, Bilbao S. On finite difference schemes for the 3-D wave equation using non-Cartesian grids. Proceedings of Stockholm Musical Acoustics Conference/Sound and Music Computing Conference 3–30 July–Aug 2013; Sweden: Stockholm; 2013.
  • Gubta MM, Manohar RP. Direct solution of biharmonic equation using non coupled approach. J Comput Phys. 1979;33/2:236–248.
  • Oudaani J. Numerical approach to the uniqueness solution of von Karman evolution. Int J Math Oper Res. 2018;13/4:450–470.
  • Oudaani J. Uniqueness solution of classical von Karman, Marguerre and von Karman equations. Int J Math Game Theory and Algebra. 2016;251:23–35.

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