Numerical shape optimization among convex sets
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Publication:2096947
DOI10.1007/s00245-022-09920-wzbMath1501.49021arXiv2203.06981OpenAlexW4281297356MaRDI QIDQ2096947
Publication date: 11 November 2022
Published in: Applied Mathematics and Optimization (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2203.06981
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Cites Work
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- Minimizing the second eigenvalue of the Laplace operator with Dirichlet boundary conditions
- Shape variation and optimization. A geometrical analysis
- Numerical optimization of low eigenvalues of the Dirichlet and Neumann laplacians
- A Galerkin approach to optimization in the space of convex and compact subsets of \(\mathbb{R}^d\)
- Convergence analysis of Galerkin finite element approximations to shape gradients in eigenvalue optimization
- Comparison of approximate shape gradients
- Variational methods in shape optimization problems
- On the implementation of an interior-point filter line-search algorithm for large-scale nonlinear programming
- Maximal and minimal norm of Laplacian eigenfunctions in a given subdomain
- Semidefinite programming for optimizing convex bodies under width constraints
- On the volume product of planar polar convex bodies — Lower estimates with stability
- Shapes and Geometries
- On the range of the first two Dirichlet and Neumann eigenvalues of the Laplacian
- Polygons as Optimal Shapes with Convexity Constraint
- Analytical Parameterization of Rotors and Proof of a Goldberg Conjecture by Optimal Control Theory
- Minimization of the Eigenvalues of the Dirichlet-Laplacian with a Diameter Constraint
- New development in freefem++
- Numerical Approximation of Optimal Convex Shapes
- Handling Convexity-Like Constraints in Variational Problems
- Convex Bodies The Brunn-MinkowskiTheory
- Numerical minimization of eigenmodes of a membrane with respect to the domain
- Minimizing within Convex Bodies Using a Convex Hull Method
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