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

Stefan Bilbao

doi:10.1002/num.20260

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

Research output: Contribution to journal › Article › peer-review

Abstract

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 language	English
Pages (from-to)	193 - 216
Number of pages	24
Journal	Numerical Methods for Partial Differential Equations
Volume	24
Issue number	1
DOIs	https://doi.org/10.1002/num.20260
Publication status	Published - Jan 2008

Keywords / Materials (for Non-textual outputs)

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

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10.1002/num.20260

http://onlinelibrary.wiley.com/doi/10.1002/num.20260/abstract

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abstract = "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.",

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

Abstract

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Novel numerical approaches for physical modelling sound synthesis

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

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Keywords / Materials (for Non-textual outputs)

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Novel numerical approaches for physical modelling sound synthesis

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