Volume 26, Issue 1
A Perturbation Method for the Numerical Solution of the Bernoulli Problem

Francois Bouchon, Stephane Clain & Rachid Touzani

DOI:

J. Comp. Math., 26 (2008), pp. 23-36

Published online: 2008-02

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  • Abstract

We consider the numerical solution of the free boundary Bernoulli problem by employing level set formulations. Using a perturbation technique, we derive a second order method that leads to a fast iteration solver. The iteration procedure is adapted in order to work in the case of topology changes. Various numerical experiments confirm the efficiency of the derived numerical method.

  • Keywords

Bernoulli problem Free boundary Level sets

  • AMS Subject Headings

35R35 34E10 65M06.

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{JCM-26-23, author = {}, title = {A Perturbation Method for the Numerical Solution of the Bernoulli Problem}, journal = {Journal of Computational Mathematics}, year = {2008}, volume = {26}, number = {1}, pages = {23--36}, abstract = { We consider the numerical solution of the free boundary Bernoulli problem by employing level set formulations. Using a perturbation technique, we derive a second order method that leads to a fast iteration solver. The iteration procedure is adapted in order to work in the case of topology changes. Various numerical experiments confirm the efficiency of the derived numerical method.}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/8608.html} }
TY - JOUR T1 - A Perturbation Method for the Numerical Solution of the Bernoulli Problem JO - Journal of Computational Mathematics VL - 1 SP - 23 EP - 36 PY - 2008 DA - 2008/02 SN - 26 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/8608.html KW - Bernoulli problem KW - Free boundary KW - Level sets AB - We consider the numerical solution of the free boundary Bernoulli problem by employing level set formulations. Using a perturbation technique, we derive a second order method that leads to a fast iteration solver. The iteration procedure is adapted in order to work in the case of topology changes. Various numerical experiments confirm the efficiency of the derived numerical method.
Francois Bouchon, Stephane Clain & Rachid Touzani. (1970). A Perturbation Method for the Numerical Solution of the Bernoulli Problem. Journal of Computational Mathematics. 26 (1). 23-36. doi:
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