A finite element method for level sets

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

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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 languageEnglish
Title of host publicationNew Computational Challenges in Materials, Structures, and Fluids : ECCOMAS Multidisciplinary Jubilee Symposium (EMJS 2008), February 18-20, 2008, Vienna, Austria
EditorsJ. Eberhardsteiner, C. Hellmich, H.A. Mang, J. Périaux
PublisherSpringer
Pages95-106
ISBN (Print)978-1-4020-9230-5
DOIs
Publication statusPublished - 2009

Publication series

NameComputational Methods in Applied Sciences
Volume14
ISSN (Print)1871-3033

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