Title:
Back and Forth Error Compensation and Correction Methods for Semi-Lagranging Schemes with Application to Interface Computation Using Level Set Method
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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Author(s)
Dupont, Todd F.
Liu, Yingjie
Liu, Yingjie
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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.
Sponsor
The work of the first author was supported by the ASCI Flash Center at the University of Chicago under DOE contract B532820, and by the MRSEC Program of the National Science Foundation under award DMR-0213745.
Date Issued
2004
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Text
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Pre-print