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
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | 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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