Shape optimization and subdivision surface based approach to solving 3D Bernoulli problems
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Publication:2203543
DOI10.1016/j.camwa.2019.02.015zbMath1443.65412OpenAlexW2919433726MaRDI QIDQ2203543
Publication date: 7 October 2020
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2019.02.015
Numerical optimization and variational techniques (65K10) Boundary element methods for boundary value problems involving PDEs (65N38)
Uses Software
Cites Work
- Shape derivatives of boundary integral operators in electromagnetic scattering. I: Shape differentiability of pseudo-homogeneous boundary integral operators
- Shape derivatives of boundary integral operators in electromagnetic scattering. II: Application to scattering by a homogeneous dielectric obstacle
- Effective semi-analytic integration for hypersingular Galerkin boundary integral equations for the Helmholtz equation in 3D.
- On Trefftz' integral equation for the Bernoulli free boundary value problem
- On a Kohn-Vogelius like formulation of free boundary problems
- On the shape derivative for problems of Bernoulli type
- A new fictitious domain method in shape optimization
- A Newton method for Bernoulli's free boundary problem in three dimensions
- Tracking Dirichlet data in \(L^2\) is an ill-posed problem
- On the existence of a solution in a domain identification problem
- An asymptotic formula for the minimal capacity among sets of equal area
- Shape optimization and fictitious domain approach for solving free boundary problems of Bernoulli type
- An embedding domain approach for a class of 2-d shape optimization problems: Mathematical analysis.
- Nonlinear integral equations for Bernoulli's free boundary value problem in three dimensions
- Parallel and vectorized implementation of analytic evaluation of boundary integral operators
- Improved trial methods for a class of generalized Bernoulli problems
- The fast solution of boundary integral equations.
- Boundary element based multiresolution shape optimisation in electrostatics
- Boundary element quadrature schemes for multi- and many-core architectures
- Subdivision surfaces
- Efficient treatment of stationary free boundary problems
- Shape optimization by pursuing diffeomorphisms
- A Class of Globally Convergent Optimization Methods Based on Conservative Convex Separable Approximations
- Shape Optimization for Free Boundary Problems – Analysis and Numerics
- Shapes and Geometries
- Tracking Neumann Data for Stationary Free Boundary Problems
- Numerical Approximation Methods for Elliptic Boundary Value Problems
- Determining conductivity by boundary measurements
- On the geometric form of Bernoulli configurations
- Electrochemical and Electro-Discharge Machining with a Threshold Current
- An Extremal Problem Involving Current Flow Through Distributed Resistance
- Frechet differentiability of boundary integral operators in inverse acoustic scattering
- Shape optimization and trial methods for free boundary problems
- Introduction to Shape Optimization
- Fréchet differentiability of the solution to the acoustic Neumann scattering problem with respect to the domain
- Mathematics and Computation in Imaging Science and Information Processing
- A second order convergent trial method for a free boundary problem in three dimensions
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