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ZHENG Yong-hong, SHEN Yong-ming. Efficient Solution Method for the Elliptic Mild Slope Equation[J]. Advances in Water Science, 2001, 12(3): 281-285.
Citation: ZHENG Yong-hong, SHEN Yong-ming. Efficient Solution Method for the Elliptic Mild Slope Equation[J]. Advances in Water Science, 2001, 12(3): 281-285.

Efficient Solution Method for the Elliptic Mild Slope Equation

Funds:  The Project is supported by National Natural Science Fund of China(No.59839330).
  • Received Date: 2000-07-23
  • Rev Recd Date: 2001-01-12
  • Publish Date: 2001-07-25
  • An efficient solution method,BI-CGSTAB,is extended and used to solve the linear algebraic system obtained from the discretization of the elliptic mild slope equation and to simulate the wave propagation over various topography with mild slopes.The numerical results show that the BI-CGSTAB method is efficient for solving the elliptic mild slope equation.The results obtained by the BI-CGSTAB method are much same as those obtained by other authors with different solution methods,but the convergent rate is much faster than that of other methods.
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    [6] Van Der Vorst H A.BI-CGSTAB:A fast and smoothly converging variant of BI-CG for the solution of nonsymmetric linear system[J].SIAM,J Sci Stat Comput.1992,13(2):631-644.
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    [10] 郑永红,沈永明,邱大洪,等.近岸大区域水波数学模型及其数值求解[J],海洋学报,2000,5:106-114.
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Efficient Solution Method for the Elliptic Mild Slope Equation

Funds:  The Project is supported by National Natural Science Fund of China(No.59839330).

Abstract: An efficient solution method,BI-CGSTAB,is extended and used to solve the linear algebraic system obtained from the discretization of the elliptic mild slope equation and to simulate the wave propagation over various topography with mild slopes.The numerical results show that the BI-CGSTAB method is efficient for solving the elliptic mild slope equation.The results obtained by the BI-CGSTAB method are much same as those obtained by other authors with different solution methods,but the convergent rate is much faster than that of other methods.

ZHENG Yong-hong, SHEN Yong-ming. Efficient Solution Method for the Elliptic Mild Slope Equation[J]. Advances in Water Science, 2001, 12(3): 281-285.
Citation: ZHENG Yong-hong, SHEN Yong-ming. Efficient Solution Method for the Elliptic Mild Slope Equation[J]. Advances in Water Science, 2001, 12(3): 281-285.
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