A Perturbation Method for the Numerical Solution of the Bernoulli Problem

A Perturbation Method for the Numerical Solution of the Bernoulli Problem

Year:    2008

Author:    François Bouchon, Stéphane Clain, Rachid Touzani

Journal of Computational Mathematics, Vol. 26 (2008), Iss. 1 : pp. 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.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2008-JCM-8608

Journal of Computational Mathematics, Vol. 26 (2008), Iss. 1 : pp. 23–36

Published online:    2008-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    14

Keywords:    Bernoulli problem Free boundary Level sets.

Author Details

François Bouchon

Stéphane Clain

Rachid Touzani