Nonlinear integral equations for Bernoulli's free boundary value problem in three dimensions
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Publication:1672636
DOI10.1016/j.camwa.2017.06.011zbMath1397.45005OpenAlexW2726636700MaRDI QIDQ1672636
Olha Ivanyshyn Yaman, Rainer Kress
Publication date: 11 September 2018
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: http://hdl.handle.net/11147/6767
Free boundary problems for PDEs (35R35) Systems of nonlinear integral equations (45G15) Theoretical approximation of solutions to integral equations (45L05)
Related Items (3)
Bernoulli free boundary problems under uncertainty: the convex case ⋮ Shape optimization and subdivision surface based approach to solving 3D Bernoulli problems ⋮ Modulation of reproducing kernel Hilbert space method for numerical solutions of Riccati and Bernoulli equations in the Atangana-Baleanu fractional sense
Cites Work
- A Dirichlet-Neumann cost functional approach for the Bernoulli problem
- On Trefftz' integral equation for the Bernoulli free boundary value problem
- A Newton method for Bernoulli's free boundary problem in three dimensions
- How to approximate the solutions of certain free boundary problems for the Laplace equation by using the contraction principle
- Shape optimization and fictitious domain approach for solving free boundary problems of Bernoulli type
- Fully discrete spectral boundary integral methods for Helmholtz problems on smooth closed surfaces in \(\mathbb R^3\)
- A high-order algorithm for obstacle scattering in three dimensions
- Improved trial methods for a class of generalized Bernoulli problems
- Variational approach to shape derivatives for a class of Bernoulli problems
- Shape Optimization for Free Boundary Problems – Analysis and Numerics
- Uniqueness and monotonicity of solutions for the interior bernoulli free boundary problem in the convex, n-dimensional case
- The Numerical Solution of Laplace’s Equation in Three Dimensions
- Convexity properties of solutions to some classical variational problems
- Convexity of free boundaries with bernoulli type boundary condition
- Integral Equation Methods in Scattering Theory
- Linear integral equations
- Inverse acoustic and electromagnetic scattering theory
- A second order convergent trial method for a free boundary problem in three dimensions
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