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Efficient Elliptic Solver for the Mild Slope Equation Using BI-CGSTAB Method

Zheng ZhengYonghong

2000中国海洋工程:英文版Earth and Planetary Sciences被引 6

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摘要

[1]Berkhoff, J. C. W., 1972. Computation of Combined Refraction Diffraction, Proc. 13th International Conference Coastal Engineering, Vancouvc, 471 ~ 490. [2]Berkhoff, J. C. W., Booy, N. and Radder, A. C., 1982. Verification of numerical wave propagation models for simple harmonic linear water waves, Coastal Engineering, 6, 255 ~ 279. [3]Benzi, M., Szyld, D. B. and Van Duial, A., 1999. Orderings for Incomplete Factorization Preconditioning of Nonsymmetrical Problems, SIAM, J. Sci. Comput. 20 (5), 1652~ 1670. [4]Ito, T. and Tanimoto, K., 1972. A method of numerical analysis of wave propagaton-application to wave diffraction and refraction, Proc., 13th International Conference Coastal Engineering, Vancouvc, ASCE, 503 ~ 522. [5]Kirby, J. T. and Dalrymple, R. A., 1984. Verification of a parabolic equation for propagation of weakly- nonlinear waves, Coastal Engineering, 8, 219~ 232. [6]LI Bin and Anastasiou, K., 1992. Efficient Elliptic Solvers for the Mild Slope Equation Using the Multigrid Technique,Coastal Engineering, 16, 245~ 246. [7]LI Bin, 1994. A Generalized Conjugate Gradient Model for the Mild Slope Equation, Coastal Engineering, 23, 215~225. [8]Panchang, V. G. and Pearce, B. R., 1991. Solution of the Mild-Slope Wave Problem by Iteration, Applied Ocean Research, 13 (4), 187~ 199. [9]Van Der Vorst, H. A., 1992. BI-CGSTAB, A Fast and Smoothly Converging Variant of BI-CG for the Solution of Nonsymmetrical Linear System, SIAM, J. Sci. Stat. Comput. 13 (2), 631~644. [10]Vuik, C., 1993. Solution of the Discretized Incompressible Navier-Stokes Equations with the GMRES Method, Int. J.Numeri. Methods Fluids, 16, 507~ 523. [11]ZHAO, Y. and Anastasiou, K., 1996. Modelling of Wave Propagation in the Nearshore Region Using the Mild Slope Equation with GMRES-Based Iterative Solvers, Int. J. Numer. Methods Fluids, 23, 397~ 411.

引用本文(GB/T 7714)

Zheng Zheng, Yonghong. Efficient Elliptic Solver for the Mild Slope Equation Using BI-CGSTAB Method[J]. 中国海洋工程:英文版, 2000.

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