Operator-splitting based fast sweeping methods for isotropic wave propagation in a moving fluid (Q2804998)

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scientific article; zbMATH DE number 6578093
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Operator-splitting based fast sweeping methods for isotropic wave propagation in a moving fluid
scientific article; zbMATH DE number 6578093

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    9 May 2016
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    anisotropic eikonal equation
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    operator-splitting methods
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    fast sweeping methods
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    higher-order schemes
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    Operator-splitting based fast sweeping methods for isotropic wave propagation in a moving fluid (English)
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    The authors develop various operator-splitting based fast sweeping methods for solving an anisotropic eikonal equation arising in isotropic wave propagation in a moving fluid. The main idea used is that this anisotropic eikonal equation is defined by a sum of two first-order differential operators. These operator-splitting methods rely on the Peaceman-Rachford scheme, the Douglas-Rachford scheme, the \(\theta\)-scheme, and the regularized \(\theta\)-scheme. Several numerical examples are presented to demonstrate that some of the proposed algorithms are effective.
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