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

François Bouchon, Stéphane Clain & Rachid Touzani

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 = {Bouchon , FrançoisClain , Stéphane and Touzani , Rachid}, 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 AU - Bouchon , François AU - Clain , Stéphane AU - Touzani , Rachid 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, Free boundary, 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.

François Bouchon, Stéphane 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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