Fast numerical methods for Bernoulli free boundary problems, Submitted

Abstract. The numerical solution of the free boundary Bernoulli problem is addressed. An iterative method based on a level-set formulation and boundary element method is proposed. Issues related to the implementation, the accuracy, and the generality of the method are discussed. The efficiency of the approach is illustrated by numerical results. Key words. Bernoulli, free boundary, level set, boundary elements AMS subject classifications. 65N38, 35R35, 76B99 DOI. 10.1137/06065444