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Scientific Computing Group Report - Detail view

Identifier: 2009-20

Author(s): T. Xiong, M. Zhang, Y.-T. Zhangand C.-W. Shu

Title: Fifth order fast sweeping WENO scheme for static Hamilton-Jacobi equations with accurate boundary treatment

Page count: 23 pp.

Date: 2009-05-08

Abstract:

A fifth order weighted essentially non-oscillatory (WENO) fast sweeping method is designed in this paper, extending the result of the third order WENO fast sweeping method in [18] and utilizing the two approaches of accurate inflow boundary condition treatment in [6], which allows the usage of Cartesian meshes regardless of the domain boundary shape. The resulting method is tested on a variety of problems to demonstrate its good performance and CPU time efficiency when compared with lower order fast sweeping methods.

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