Level-set function approach to an inverse interface problem

@inproceedings{Ito2001LevelsetFA,
  title={Level-set function approach to an inverse interface problem},
  author={Kazufumi Ito and Karl Kunisch and Zhilin Li},
  year={2001}
}
Abstract A model problem in electrical impedance tomography for the identification of unknown shapes from data in a narrow strip along the boundary of the domain is investigated. The representation of the shape of the boundary and its evolution during an iterative reconstruction process is achieved by the level set method. The shape derivatives of this problem involve the normal derivative of the potential along the unknown boundary. Hence an accurate resolution of its derivatives along the… CONTINUE READING

Citations

Publications citing this paper.
Showing 1-10 of 69 extracted citations

References

Publications referenced by this paper.
Showing 1-10 of 14 references

The immersed interface method—a numerical approach for partial differential equations with interfaces PhD Thesis University of Washington

  • Z Li
  • 1994
Highly Influential
7 Excerpts

Fast and accurate numerical approaches for Stefan problems and crystal growth Numer

  • Z Li, B Soni
  • Heat Transfer B
  • 1999
1 Excerpt

A fast level set based algorithm for Stefan problems

  • S Chen, B Merriman, P Smereka, S Osher
  • J. Comput. Phys
  • 1997
2 Excerpts

Introduction to Shape Optimization (Berlin: Springer

  • J Sokolowski, J PZolesio
  • 1991
1 Excerpt

Similar Papers

Loading similar papers…