Level-set function approach to an inverse interface problem

Inverse Problems

Volumn 17, Issue 5, 2001, Pages 1225-1242

  Ito, Kazufumi ^a   Kunisch, Karl ^b   Li, Zhilin ^a  

^a NORTH CAROLINA STATE UNIVERSITY   (United States)

^b UNIVERSITY OF GRAZ   (Austria)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0035473295     PISSN: 02665611     EISSN: None     Source Type: Journal    
DOI: 10.1088/0266-5611/17/5/301     Document Type: Article

References (14)

1. Chen S, Merriman B, Smereka P and Osher S 1997 A fast level set based algorithm for Stefan problems J. Comput. Phys. 135 8-29
2. Chen Z and Zou J 1998 Finite element methods and their convergence for elliptic and parabolic interface problems Numer. Math. 79 175-202
3. Grayson M A 1987 The heat equation shrinks embedded plane curves to round points J. Diff. Geom. 26 285-314
4. Haslinger J and Neittanmaaki P 1988 Finite Element Approximation for Optimal Shape Design: Theory and Applications (Chichester: Wiley)
5. Hou T, Li Z, Osher S and Zhao H 1997 A hybrid method for moving interface problems with application to the Hele-Shaw flow J. Comput. Phys. 134 236-52
6. LeVeque R J and Li Z 1994 The immersed interface method for elliptic equations with discontinuous coefficients and singular sources SIAM J. Numer. Anal. 31 1019-44
7. Li Z 1994 The immersed interface method - a numerical approach for partial differential equations with interfaces PhD Thesis University of Washington
8. Li Z 1998 A fast iterative algorithm for elliptic interface problems SIAM J. Numer. Anal. 35 230-54
9. Li Z and Soni B 1999 Fast and accurate numerical approaches for Stefan problems and crystal growth Numer. Heat Transfer B 35 461-84
10. Litman A, Lesselier D and Santosa F 1998 Reconstruction of a two-dimensional binary obstacle by controlled evolution of a level-set Inverse Problems 14 685-706
11. Osher S and Sethian J A 1988 Fronts propagating with curvature-dependent speed: algorithms based on Hamilton-Jacobi formulations J. Comput. Phys. 79 12-49
12. Santosa F 1996 A level-set approach for inverse problems involving obstacles ESAIM: COCV 1 17-33
13. Sethian J A 1999 Level Set Methods and Fast Marching Methods 2nd edn (Cambridge: Cambridge University Press)
14. Sokolowski J and Zolesio JP 1991 Introduction to Shape Optimization (Berlin: Springer)