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A Geometrical Approach for Solving 2D Eikonal Equation
School of Mechanical and Aerospace Engineering, Nanyang Technological University, Singapore
Computer Modeling in Engineering & Sciences 2005, 8(1), 1-14. https://doi.org/10.3970/cmes.2005.008.001
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Solving the Eikonal equation is popular due to its potential applications in various areas. Numerical method is the most common approach to solve the equation. This paper presents a geometric approach to solve the equation. Each point in a two dimensional domain with a given velocity field is characterized by the least time from the source. The path of least time is obtained by the Euler equations characterizing the extrema of the variation problem. A geometric representation of the space time function for the source is constructed. The solution to the eikonal equation is obtained based on space time geometry.Keywords
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APA Style
Au, C.K. (2005). A geometrical approach for solving 2D eikonal equation. Computer Modeling in Engineering & Sciences, 8(1), 1-14. https://doi.org/10.3970/cmes.2005.008.001
Vancouver Style
Au CK. A geometrical approach for solving 2D eikonal equation. Comput Model Eng Sci. 2005;8(1):1-14 https://doi.org/10.3970/cmes.2005.008.001
IEEE Style
C.K. Au, “A Geometrical Approach for Solving 2D Eikonal Equation,” Comput. Model. Eng. Sci., vol. 8, no. 1, pp. 1-14, 2005. https://doi.org/10.3970/cmes.2005.008.001
Copyright © 2005 The Author(s). Published by Tech Science Press.This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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