Computational Study of Fast Methods for the Eikonal Equation
نویسندگان
چکیده
منابع مشابه
Computational Study of Fast Methods for the Eikonal Equation
A computational study of the Fast Marching and the Fast Sweeping methods for the Eikonal equation is given. It is shown that even though Fast Sweeping requires asymptotically less operations than Fast Marching, the latter method is faster than the former for the problems under consideration and for realistic grid sizes. Fully second order generalizations of methods of this type for problems wit...
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Numerical Boundary Conditions for the Fast Sweeping High Order WENO Methods for Solving the Eikonal Equation
High order fast sweeping methods have been developed recently in the literature to solve static Hamilton-Jacobi equations efficiently. Comparing with the first order fast sweeping methods, the high order fast sweeping methods are more accurate, but they often require additional numerical boundary treatment for several grid points near the boundary because of the wider numerical stencil. It is p...
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Fast Marching and Fast Sweeping are the two most commonly used methods for solving the Eikonal equation. Each of these methods performs best on a different set of problems. Fast Sweeping, for example, will outperform Fast Marching on problems where the characteristics are largely straight lines. Fast Marching, on the other hand, is usually more efficient than Fast Sweeping on problems where cha...
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ژورنال
عنوان ژورنال: SIAM Journal on Scientific Computing
سال: 2006
ISSN: 1064-8275,1095-7197
DOI: 10.1137/040605655