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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.

Bouchon , FrançoisClain , Stéphane and Touzani , Rachid. (2008). A Perturbation Method for the Numerical Solution of the Bernoulli Problem. Journal of Computational Mathematics. 26 (1). 23-36. doi:
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