A Dirichlet-Neumann cost functional approach for the Bernoulli problem
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Publication:520923
DOI10.1007/s10665-012-9608-3zbMath1359.49014OpenAlexW2089931451MaRDI QIDQ520923
Publication date: 6 April 2017
Published in: Journal of Engineering Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10665-012-9608-3
Optimization of other properties in solid mechanics (74P10) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Optimization of shapes other than minimal surfaces (49Q10) Free boundary problems for PDEs (35R35) Finite difference methods for boundary value problems involving PDEs (65N06) PDEs in connection with mechanics of deformable solids (35Q74)
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Cites Work
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- On a Kohn-Vogelius like formulation of free boundary problems
- Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations
- The fast construction of extension velocities in level set methods
- Shape optimization and fictitious domain approach for solving free boundary problems of Bernoulli type
- Newton's method in shape optimisation: A three-dimensional case
- Level set methods and dynamic implicit surfaces
- Numerical solution of the free-boundary Bernoulli problem using a level set formulation
- Variational approach to shape derivatives for a class of Bernoulli problems
- A level set method for inverse problems
- Topological Sensitivity Analysis for the Location of Small Cavities in Stokes Flow
- Error Estimate Procedure in the Finite Element Method and Applications
- Electrochemical and Electro-Discharge Machining with a Threshold Current
- An Extremal Problem Involving Current Flow Through Distributed Resistance
- Differentiation with Respect to the Domain in Boundary Value Problems
- Heat Flow Inequalities with Applications to Heat Flow Optimization Problems
- Shape optimization and trial methods for free boundary problems
- Existence of classical solutions to a free boundary problem for the p-Laplace operator: (II) the interior convex case
- Boundary integral representations of second derivatives in shape optimization
- Identification of Robin coefficients by the means of boundary measurements
- Convexity of free boundaries with bernoulli type boundary condition
- Numerical implementation of a variational method for electrical impedance tomography
- Level set methods for optimization problems involving geometry and constraints. I: Frequencies of a two-density inhomogeneous drum
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