On a two-phase Serrin-type problem and its numerical computation
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Publication:5126408
DOI10.1051/cocv/2019048zbMath1450.35189arXiv1811.07156OpenAlexW2900957909MaRDI QIDQ5126408
Lorenzo Cavallina, Toshiaki Yachimura
Publication date: 16 October 2020
Published in: ESAIM: Control, Optimisation and Calculus of Variations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1811.07156
Numerical optimization and variational techniques (65K10) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Second-order elliptic equations (35J15) PDEs in connection with control and optimization (35Q93) Overdetermined boundary value problems for PDEs and systems of PDEs (35N25)
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Cites Work
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- An overdetermined problem with non-constant boundary condition
- Structural optimization with FreeFem++
- A Dirichlet-Neumann cost functional approach for the Bernoulli problem
- On a Kohn-Vogelius like formulation of free boundary problems
- An extremal eigenvalue problem for a two-phase conductor in a ball
- On the shape derivative for problems of Bernoulli type
- On the stability of the Serrin problem
- Shape variation and optimization. A geometrical analysis
- A bilevel shape optimization problem for the exterior Bernoulli free boundary value problem
- Extremal eigenvalue problems for two-phase conductors
- Numerical solution of the free-boundary Bernoulli problem using a level set formulation
- A symmetry problem in potential theory
- Variational approach to shape derivatives for a class of Bernoulli problems
- The one phase free boundary problem for the $p$-Laplacian with non-constant Bernoulli boundary condition
- A free boundary problem for the Stokes equations
- On a Bernoulli problem with geometric constraints
- Minimization of the Ground State for Two Phase Conductors in Low Contrast Regime
- Velocity Extension for the Level-set Method and Multiple Eigenvalues in Shape Optimization
- Mesh Generation
- Relaxation of a variational method for impedance computed tomography
- New development in freefem++
- Stability analysis of the two-phase torsional rigidity near a radial configuration
- Droplet Footprint Control
- Global minimizer of the ground state for two phase conductors in low contrast regime
- Uniqueness theorems for surfaces in the large. I, II, III, IV, V
- The classical overdetermined Serrin problem