Comparison Principle for a Generalized Fast Marching Method
Copyright policy )Comparison Principle for a Generalized Fast Marching Method
In \cite{CFFM06}, the authors have proposed a generalization of the classical Fast Marching Method of Sethian for the eikonal equation in the case where the normal velocity depends on space and time and can change sign. The goal of this paper is to propose a modified version of the Generalized Fast Marching Method proposed in \cite{CFFM06} for which we state a general comparison principle. We also prove the convergence of the new algorithm.
convergence, 49L25, 65M12, 65M06, [MATH.MATH-NA] Mathematics [math]/Numerical Analysis [math.NA], fast marching scheme, monotone scheme, [MATH.MATH-NA]Mathematics [math]/Numerical Analysis [math.NA], Eikonal equation, 510
convergence, 49L25, 65M12, 65M06, [MATH.MATH-NA] Mathematics [math]/Numerical Analysis [math.NA], fast marching scheme, monotone scheme, [MATH.MATH-NA]Mathematics [math]/Numerical Analysis [math.NA], Eikonal equation, 510
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