A Family of Conservative Finite Difference Schemes for the Dynamical von Karman Plate Equations

Research output: Contribution to journalArticlepeer-review

Abstract / Description of output

Numerical methods for nonlinear plate dynamics play an important role across many disciplines. In this article, the focus is on numerical stability for numerical methods for the von Karman system, through the use of energy-conserving methods. It is shown that one may take advantage of structure particular to the system to construct numerical methods, which are provably numerically stable, and for which computer implementation is simplified. Numerical results are presented.
Original languageEnglish
Pages (from-to)193 - 216
Number of pages24
JournalNumerical Methods for Partial Differential Equations
Volume24
Issue number1
DOIs
Publication statusPublished - Jan 2008

Keywords / Materials (for Non-textual outputs)

  • nonlinear plate vibration
  • finite difference scheme
  • von Karman system
  • energy-conserving method

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