Multiresolution Symplectic Scheme for Wave Propagation in Complex Media

MA Jian-wei; YANG Hui-zhu

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MA Jian-wei, YANG Hui-zhu. Multiresolution Symplectic Scheme for Wave Propagation in Complex Media[J]. Applied Mathematics and Mechanics, 2004, 25(5): 523-528.

Citation:

MA Jian-wei, YANG Hui-zhu. Multiresolution Symplectic Scheme for Wave Propagation in Complex Media[J]. Applied Mathematics and Mechanics, 2004, 25(5): 523-528.

Citation:

MA Jian-wei, YANG Hui-zhu. Multiresolution Symplectic Scheme for Wave Propagation in Complex Media[J]. Applied Mathematics and Mechanics, 2004, 25(5): 523-528.

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Multiresolution Symplectic Scheme for Wave Propagation in Complex Media

Department of Engineering Mechanics, Tsinghua University, Beijing 100084, P. R. China

Received Date: 2002-09-11
Rev Recd Date: 2003-09-26
Publish Date: 2004-05-15

Abstract

Abstract

A fast adaptive symplectic algorithm named multiresolution symplectic scheme (MSS) was first presented to solve the problem of the wave propagation in complex media, using the symplectic scheme and Daubechies. compactly supported orthogonal wavelet transform to respectively discretise the time and space dimension of wave equation. The problem was solved in multiresolution symplectic geometry space under the conservative Hamiltonian system rather than the traditional Lagrange system. Due to the fascinating properties of the wavelets and symplectic scheme, MSS is a promising method because of little computational burden, robustness and reality of long-time simulation.
- wavelet transform,
- multiresolution,
- symplectic,
- wave propagation

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References(11)

References

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