On Trefftz' integral equation for the Bernoulli free boundary value problem

DOI10.1007/s00211-016-0847-5zbMath1367.31003OpenAlexW2541866410MaRDI QIDQ530087

Rainer Kress

Publication date: 9 June 2017

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00211-016-0847-5

zbMATH Keywords

harmonic functionsdoubly connected domainsBernoulli's free boundary value problem

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Free boundary problems for PDEs (35R35) Free-surface potential flows for incompressible inviscid fluids (76B07) Integral representations, integral operators, integral equations methods in two dimensions (31A10)

Related Items (6)

Nonlinear integral equations for Bernoulli's free boundary value problem in three dimensions ⋮ Bernoulli free boundary problems under uncertainty: the convex case ⋮ Shape optimization and subdivision surface based approach to solving 3D Bernoulli problems ⋮ An integral equation method for the numerical solution of a Dirichlet problem for second-order elliptic equations with variable coefficients ⋮ 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

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