Analysis of high order fast interface tracking methods

• Published in: Numerische Mathematik Vol. 128; no. 2; pp. 339 - 375
• Main Author: Runborg, Olof
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.10.2014
• Subjects: 2-Scale Difference-Equations; Curves; Front-Tracking; Mathematical and Computational Engineering; Mathematical and Computational Physics; Mathematical Methods in Physics; Mathematics; Mathematics and Statistics; Numerical Analysis; Numerical and Computational Physics; Regularity; Simulation; Smoothness; Subdivision Schemes; Theoretical; Travel-Time; 42C40; 65L20; 65D99

Fast high order methods for the propagation of an interface in a velocity field are constructed and analyzed. The methods are generalizations of the fast interface tracking method proposed in Runborg (Commun Math Sci 7:365–398, 2009 ). They are based on high order subdivision to make a multiresoluti...