Back and Forth Error Compensation and Correction Methods for Semi-Lagranging Schemes with Application to Interface Computation Using Level Set Method

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Title: Back and Forth Error Compensation and Correction Methods for Semi-Lagranging Schemes with Application to Interface Computation Using Level Set Method
Author: Dupont, Todd F. ; Liu, Yingjie
Abstract: Semi-Lagranging schemes have been explored by several authors recently for transport problems in particular for moving interfaces using level set method. We incorporate the backward error compensation method developed in [2] into the semi-Lagranging schemes with almost the same simplicity and three times the complexity of a first order semi-Lagranging scheme but improve the order of accuracy. When applying this simple semi-Lagranging scheme to the level set method in interface computation, we observe good improvement comparable to results computed with other more complicated methods.
Description: AMS subject classifications. 65M60, 65M12
Type: Pre-print
URI: http://hdl.handle.net/1853/29461
Date: 2004
Contributor: Georgia Institute of Technology. School of Mathematics
University of Chicago. Dept. of Computer Science
Relation: CDSNS2004-399
Publisher: Georgia Institute of Technology
Subject: Flux corrected transport
Front tracking
Level set method

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