Fast sweeping method pdf
WebA FAST SWEEPING METHOD FOR EIKONAL EQUATIONS HONGKAI ZHAO ABSTRACT. In this paper a fast sweeping method for computing the numer-ical solution of Eikonal … WebJun 21, 2024 · PDF Fixed-point iterative sweeping methods were developed in the literature to efficiently solve steady state solutions of Hamilton-Jacobi equations... Find, …
Fast sweeping method pdf
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WebAbstract: We compare the computational performance of the Fast Marching Method, the Fast Sweeping Method and of the Fast Iterative Method to determine a numerical solution to the eikonal equation. We point out how the FIM outperforms the other two thanks to its parallel processing capabilities. WebMar 15, 2024 · This paper presents a fast sweeping method (FSM) to calculate the first‐arrival traveltimes of the qP, qSV, and qSH waves in two‐dimensional (2D) …
WebThe fast sweeping method is optimal in the sense that a finite number of iterations is needed [40], so that the complexity of the algorithm is O(N)for a total of N grid points; … Webm, + = ., = / % "! $ ·}¶ ,)+ ) +,)+ ,)+, ) +, )+,) +] §) +, &) .] ·}¸ ¸ /' -·}¸ ¸ ¸ )+,, )+, / "! # $ %
WebDENSE FAST SWEEPING METHODS Fast Sweeping Methods take point of reference in some well known facts about the the Eikonal equation, namely that it is a non-linear hyperbolic partial di‡erential equation that can be solved numeri-cally a by means of the following single-sided (so-called up-wind) •nite di‡erence scheme due to Godunov http://web.missouri.edu/~duanye/course/cs8620-spring-2024/lecture-notes/4a-fast-sweeping.pdf
WebThe fast sweeping method is motivated by the work in [2] and was first used in [21] for computing the distance function. The main idea of the fast sweeping method is to use nonlinear upwind difference and Gauss-Seidel iterations with alternating sweeping ordering. In con-trast to the fast marching method, the fast sweeping method follows the ...
WebMay 1, 2013 · This property allows us to design a second-order fast sweeping method that is based on a discontinuous Galerkin (DG) formulation for the anisotropic eikonal equation. The DG formulation was first... peeps string lightsWebA comparison of Fast Marching, Fast Sweeping and Fast Iterative Methods for the solution of the eikonal equation Abstract: We compare the computational performance of the Fast … measurements in fractions of inchWebfast sweeping method can be easily tailored for this task. The number of iterations is nite, and is usually small and almost independent of the grid size. In principle, one pass type of algorithms, such as fast marching method [21, 24] can also be used for solving these linear static advection PDEs. Sorting is not even needed in this case measurements from 0 to 1 inchWebAug 5, 2014 · This paper presents a fast sweeping method (FSM) to calculate the first‐arrival traveltimes of the qP, qSV, and qSH waves in two‐dimensional (2D) … peeps stuffed animal and blanket setWebFeb 1, 2012 · The fast sweeping algorithm (referred to as Algorithm 1) can thus be implemented as follows. Initialize the point source condition T ( xs) = 0 and assign very large positive values to the rest of the grid points which will be updated. Update grid points with Gauss-Seidel iterations with eight alternating sweeping orders. peeps store national harbor marylandWebIn this paper a fast sweeping method for computing the numer- ical solution of Eikonal equations on a rectangular grid is presented. The method is an iterative method which … measurements in foundation phaseWebJan 29, 2024 · Numerical solution of the eikonal equation is frequently used to compute first-arrival travel times for a given velocity model in seismic applications. Computations for large three-dimensional models become expensive requiring the use of efficient parallel solvers. We present new parallel implementations of the fast sweeping and locking sweeping … peeps stuffed animals