Fast Numerical Methods for Bernoulli Free Boundary Problems

Authors:
Christopher M. Kuster;Pierre A. Gremaud;Rachid Touzani
Affiliations:
-;-;-
Venue:
SIAM Journal on Scientific Computing
Year:
2007

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Cited 1

Goal-Oriented Error Estimation and Adaptivity for Free-Boundary Problems: The Domain-Map Linearization Approach

SIAM Journal on Scientific Computing

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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.