@inproceedings{56f9aecfa1084f89a0830620e98cefd4,
title = "Shape-Newton method for isogeometric discretizations of free-boundary problems",
abstract = "We derive Newton-type solution algorithms for a Bernoulli-type free-boundary problem at the continuous level. The Newton schemes are obtained by applying Hadamard shape derivatives to a suitable weak formulation of the free-boundary problem. At each Newton iteration, an updated free boundary position is obtained by solving a boundary-value problem at the current approximate domain. Since the boundary-value problem has a curvature-dependent boundary condition, an ideal discretization is provided by isogeometric analysis. Several numerical examples demonstrate the apparent quadratic convergence of the Newton schemes on isogeometric-analysis discretizations with C1-continuous discrete free boundaries.",
author = "{Zee, van der}, K.G. and {Zwieten, van}, G.J. and C.V. Verhoosel and {Brummelen, van}, E.H.",
year = "2013",
doi = "10.1007/978-94-007-6143-8_5",
language = "English",
isbn = "978-94-007-6142-1",
series = "Computational Methods in Applied Sciences",
publisher = "Springer",
pages = "85--102",
editor = "L. Eca and E. Onate and J. Garcia-Espinosa and T. Kvamsdal and P. Bergan",
booktitle = "MARINE 2011, IV International Conference on Computational Methods in Marine Engineering : selected papers : part III",
address = "Germany",
note = "conference; MARINE 2011 ; Conference date: 01-01-2013",
}