A finite element method for level sets

S. Valance; R. Borst, de; J. Rethore; M. Coret

doi:10.1007/978-1-4020-9231-2

A finite element method for level sets

S. Valance, R. Borst, de, J. Rethore, M. Coret

Mechanical Engineering

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

3 Citations (Scopus)

143 Downloads (Pure)

Abstract

Level set methods have recently gained much popularity to capture discontinuities, including their possible propagation. In this contribution we present a finite element approach for solving the governing equations of level set methods. After a review of the governing equations, the initialisation of the level sets, the discretisation on a finite domain and the stabilisation of the resulting finite element method will be discussed. Special attention will be given to the proper treatment of the internal boundary condition, which is achieved by exploiting the partition-of-unity property of finite element shape functions.

Original language	English
Title of host publication	New Computational Challenges in Materials, Structures, and Fluids : ECCOMAS Multidisciplinary Jubilee Symposium (EMJS 2008), February 18-20, 2008, Vienna, Austria
Editors	J. Eberhardsteiner, C. Hellmich, H.A. Mang, J. Périaux
Publisher	Springer
Pages	95-106
ISBN (Print)	978-1-4020-9230-5
DOIs	https://doi.org/10.1007/978-1-4020-9231-2
Publication status	Published - 2009

Publication series

Name	Computational Methods in Applied Sciences
Volume	14
ISSN (Print)	1871-3033

Access to Document

10.1007/978-1-4020-9231-2

Metis224773Final published version, 53.3 KB

Cite this

Valance, S., Borst, de, R., Rethore, J., & Coret, M. (2009). A finite element method for level sets. In J. Eberhardsteiner, C. Hellmich, H. A. Mang, & J. Périaux (Eds.), New Computational Challenges in Materials, Structures, and Fluids : ECCOMAS Multidisciplinary Jubilee Symposium (EMJS 2008), February 18-20, 2008, Vienna, Austria (pp. 95-106). (Computational Methods in Applied Sciences; Vol. 14). Springer. https://doi.org/10.1007/978-1-4020-9231-2

Valance, S. ; Borst, de, R. ; Rethore, J. et al. / A finite element method for level sets. New Computational Challenges in Materials, Structures, and Fluids : ECCOMAS Multidisciplinary Jubilee Symposium (EMJS 2008), February 18-20, 2008, Vienna, Austria. editor / J. Eberhardsteiner ; C. Hellmich ; H.A. Mang ; J. Périaux. Springer, 2009. pp. 95-106 (Computational Methods in Applied Sciences).

@inproceedings{73d9b1dbc00b4546af4fa42e1b60c67e,

title = "A finite element method for level sets",

abstract = "Level set methods have recently gained much popularity to capture discontinuities, including their possible propagation. In this contribution we present a finite element approach for solving the governing equations of level set methods. After a review of the governing equations, the initialisation of the level sets, the discretisation on a finite domain and the stabilisation of the resulting finite element method will be discussed. Special attention will be given to the proper treatment of the internal boundary condition, which is achieved by exploiting the partition-of-unity property of finite element shape functions.",

author = "S. Valance and {Borst, de}, R. and J. Rethore and M. Coret",

year = "2009",

doi = "10.1007/978-1-4020-9231-2",

language = "English",

isbn = "978-1-4020-9230-5",

series = "Computational Methods in Applied Sciences",

publisher = "Springer",

pages = "95--106",

editor = "J. Eberhardsteiner and C. Hellmich and H.A. Mang and J. P{\'e}riaux",

booktitle = "New Computational Challenges in Materials, Structures, and Fluids : ECCOMAS Multidisciplinary Jubilee Symposium (EMJS 2008), February 18-20, 2008, Vienna, Austria",

address = "Germany",

}

Valance, S, Borst, de, R, Rethore, J & Coret, M 2009, A finite element method for level sets. in J Eberhardsteiner, C Hellmich, HA Mang & J Périaux (eds), New Computational Challenges in Materials, Structures, and Fluids : ECCOMAS Multidisciplinary Jubilee Symposium (EMJS 2008), February 18-20, 2008, Vienna, Austria. Computational Methods in Applied Sciences, vol. 14, Springer, pp. 95-106. https://doi.org/10.1007/978-1-4020-9231-2

A finite element method for level sets. / Valance, S.; Borst, de, R.; Rethore, J. et al.
New Computational Challenges in Materials, Structures, and Fluids : ECCOMAS Multidisciplinary Jubilee Symposium (EMJS 2008), February 18-20, 2008, Vienna, Austria. ed. / J. Eberhardsteiner; C. Hellmich; H.A. Mang; J. Périaux. Springer, 2009. p. 95-106 (Computational Methods in Applied Sciences; Vol. 14).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

TY - GEN

T1 - A finite element method for level sets

AU - Valance, S.

AU - Borst, de, R.

AU - Rethore, J.

AU - Coret, M.

PY - 2009

Y1 - 2009

N2 - Level set methods have recently gained much popularity to capture discontinuities, including their possible propagation. In this contribution we present a finite element approach for solving the governing equations of level set methods. After a review of the governing equations, the initialisation of the level sets, the discretisation on a finite domain and the stabilisation of the resulting finite element method will be discussed. Special attention will be given to the proper treatment of the internal boundary condition, which is achieved by exploiting the partition-of-unity property of finite element shape functions.

AB - Level set methods have recently gained much popularity to capture discontinuities, including their possible propagation. In this contribution we present a finite element approach for solving the governing equations of level set methods. After a review of the governing equations, the initialisation of the level sets, the discretisation on a finite domain and the stabilisation of the resulting finite element method will be discussed. Special attention will be given to the proper treatment of the internal boundary condition, which is achieved by exploiting the partition-of-unity property of finite element shape functions.

U2 - 10.1007/978-1-4020-9231-2

DO - 10.1007/978-1-4020-9231-2

M3 - Conference contribution

SN - 978-1-4020-9230-5

T3 - Computational Methods in Applied Sciences

SP - 95

EP - 106

BT - New Computational Challenges in Materials, Structures, and Fluids : ECCOMAS Multidisciplinary Jubilee Symposium (EMJS 2008), February 18-20, 2008, Vienna, Austria

A2 - Eberhardsteiner, J.

A2 - Hellmich, C.

A2 - Mang, H.A.

A2 - Périaux, J.

PB - Springer

ER -

Valance S, Borst, de R, Rethore J, Coret M. A finite element method for level sets. In Eberhardsteiner J, Hellmich C, Mang HA, Périaux J, editors, New Computational Challenges in Materials, Structures, and Fluids : ECCOMAS Multidisciplinary Jubilee Symposium (EMJS 2008), February 18-20, 2008, Vienna, Austria. Springer. 2009. p. 95-106. (Computational Methods in Applied Sciences). doi: 10.1007/978-1-4020-9231-2

A finite element method for level sets

Abstract

Publication series

Access to Document

Fingerprint

Cite this