A shape-Newton method for free-boundary problems subject to the Bernoulli boundary condition
DOI10.1137/23m1590263MaRDI QIDQ6649885
Yiyun Fan, Kristoffer G. Van Der Zee, John Billingham
Publication date: 6 December 2024
Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)
Newton-type methodsshape derivativeBernoulli equationBernoulli free-boundary problemshape-linearized free-boundary problemsolvability of shape-linearized system
Newton-type methods (49M15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element methods applied to problems in fluid mechanics (76M10) Free boundary problems for PDEs (35R35) Other free boundary flows; Hele-Shaw flows (76D27)
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