A conformal mapping algorithm for the Bernoulli free boundary value problem

DOI10.1002/mma.3708zbMath1350.31007OpenAlexW2119403280MaRDI QIDQ5739231

Houssem Haddar, Rainer Kress

Publication date: 15 July 2016

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://hal.inria.fr/hal-01214261/file/haddar-kress.pdf

zbMATH Keywords

conformal mappinginverse problemsboundary integral equationsfree boundary problems

Mathematics Subject Classification ID

General theory of conformal mappings (30C35) Free boundary problems for PDEs (35R35) Free-surface potential flows for incompressible inviscid fluids (76B07) Boundary value and inverse problems for harmonic functions in two dimensions (31A25)

Related Items (3)

On Trefftz' integral equation for the Bernoulli free boundary value problem ⋮ An improved shape optimization formulation of the Bernoulli problem by tracking the Neumann data ⋮ A second-order shape optimization algorithm for solving the exterior Bernoulli free boundary problem using a new boundary cost functional

Cites Work

• Improved trial methods for a class of generalized Bernoulli problems
• Stabilization of the trial method for the Bernoulli problem in case of prescribed Dirichlet data
• On the geometric form of Bernoulli configurations
• Free Boundary Problem
• On a Free Boundary Problem, the Starlike Case
• Electrostatic imaging via conformal mapping
• Conformal mappings and inverse boundary value problems
• A Note on Harmonic Functions and a Hydrodynamical Application
• Linear integral equations
• An introduction to the mathematical theory of inverse problems
• Shape optimization by the homogenization method
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