Paper Info
Title
A Finite Element Level Set Redistancing Method Based on Gradient Recovery.
Abstract
We introduce a new redistancing method for level set functions. This method applies in a finite element setting and uses a gradient recovery technique. Based on the recovered gradient a quasi-normal field on the zero level of the finite element level set function is defined and from this an approximate signed distance function is determined. For this redistancing method rigorous error bounds are derived. For example, the distance between the original zero level and the zero level after redistancing can be shown to be bounded by ch(k+1), if finite elements of degree k are used in the discretization.
Year
DOI
Venue
2013
10.1137/120895433
SIAM JOURNAL ON NUMERICAL ANALYSIS
Keywords
Field
DocType
level set method,reinitialization,redistancing,gradient recovery
Level set function,Discretization,Mathematical optimization,Signed distance function,Mathematical analysis,Level set method,Level set,Finite element method,Mathematics,Bounded function
Journal
Volume
Issue
ISSN
51
5
0036-1429
Citations 
PageRank 
References 
1
0.43
4
Authors
1
Name
Order
Citations
PageRank
Arnold Reusken130544.91