Multi-Symplectic Methods for Membrane Free Vibration Equation

HU Wei-peng; DENG Zi-chen; LI Wen-cheng

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Article Navigation > Applied Mathematics and Mechanics > 2007 > 28(9): 1054-1062

HU Wei-peng, DENG Zi-chen, LI Wen-cheng. Multi-Symplectic Methods for Membrane Free Vibration Equation[J]. Applied Mathematics and Mechanics, 2007, 28(9): 1054-1062.

Citation:

HU Wei-peng, DENG Zi-chen, LI Wen-cheng. Multi-Symplectic Methods for Membrane Free Vibration Equation[J]. Applied Mathematics and Mechanics, 2007, 28(9): 1054-1062.

Citation:

HU Wei-peng, DENG Zi-chen, LI Wen-cheng. Multi-Symplectic Methods for Membrane Free Vibration Equation[J]. Applied Mathematics and Mechanics, 2007, 28(9): 1054-1062.

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Multi-Symplectic Methods for Membrane Free Vibration Equation

1.
School of Mechanics, Civil Engineering and Architecture, Northwestern Polytechnincal University, Xi'an 710072, P. R. China;

Received Date: 2007-01-18
Rev Recd Date: 2007-07-25
Publish Date: 2007-09-15

Abstract

Abstract

The multi-symplectic formulations of the membrane free vibration equation with periodic boundary conditions in Hamilton space were considered. The complex method was introduced and a semi-implicit twenty-seven-point scheme with certain discrete conservation lawsa multi-symplectic conservation law (CLS), an energy conservation law (ECL) as well as a momentum conservation law (MCL)is constructed to discrete the PDEs that are derived from the membrane free vibration equation. The results of the numerical experiments show that the multi-symplectic scheme has excellent long-time numerical behavior.
- multi-symplectic,
- complex discretization,
- Runge-Kutta method

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References(11)

References

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