Parametric shape optimization using the support function
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Publication:2125069
DOI10.1007/s10589-022-00360-4zbMath1490.90284arXiv1809.00254OpenAlexW2892362995MaRDI QIDQ2125069
Beniamin Bogosel, Pedro R. S. Antunes
Publication date: 12 April 2022
Published in: Computational Optimization and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1809.00254
Related Items (5)
Reverse Faber-Krahn inequality for a truncated Laplacian operator ⋮ Numerical approximation of optimal convex and rotationally symmetric shapes for an eigenvalue problem arising in optimal insulation ⋮ Optimal design of sensors via geometric criteria ⋮ Bernoulli free boundary problems under uncertainty: the convex case ⋮ Numerical Approximation of Optimal Convex Shapes
Cites Work
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- Optimisation of eigenvalues of the Dirichlet Laplacian with a surface area restriction
- Existence of minimizers for spectral problems
- Optimization of spectral functions of Dirichlet-Laplacian eigenvalues
- Meissner's mysterious bodies
- Existence and regularity of minimizers for some spectral functionals with perimeter constraint
- Stability and convergence of the method of fundamental solutions for Helmholtz problems on analytic domains
- Minimizing the second eigenvalue of the Laplace operator with Dirichlet boundary conditions
- Shape variation and optimization. A geometrical analysis
- Effective shape optimization of Laplace eigenvalue problems using domain expressions of Eulerian derivatives
- Numerical optimization of low eigenvalues of the Dirichlet and Neumann laplacians
- Minimization of the \(k\)-th eigenvalue of the Dirichlet Laplacian
- Shape optimization under width constraint
- Convergence analysis of Galerkin finite element approximations to shape gradients in eigenvalue optimization
- Regularity and singularities of optimal convex shapes in the plane
- Phase field approach to optimal packing problems and related Cheeger clusters
- Comparison of approximate shape gradients
- Characterization of Cheeger sets for convex subsets of the plane
- Variational methods in shape optimization problems
- Analytic parametrization of three-dimensional bodies of constant width
- Curves and surfaces represented by polynomial support functions
- Maximal and minimal norm of Laplacian eigenfunctions in a given subdomain
- The Method of Fundamental Solutions Applied to Some Inverse Eigenproblems
- Semidefinite programming for optimizing convex bodies under width constraints
- On the three-dimensional Blaschke-Lebesgue problem
- Shapes and Geometries
- Numerical calculation of eigensolutions of 3D shapes using the method of fundamental solutions
- On the range of the first two Dirichlet and Neumann eigenvalues of the Laplacian
- Polygons as Optimal Shapes with Convexity Constraint
- Rotors in Polygons and Polyhedra
- Approximation of maximal Cheeger sets by projection
- Anisotropic Cheeger Sets and Applications
- Minimization of the Eigenvalues of the Dirichlet-Laplacian with a Diameter Constraint
- Numerical Approximation of Optimal Convex Shapes
- Handling Convexity-Like Constraints in Variational Problems
- Bodies of constant width in arbitrary dimension
- Reviving the Method of Particular Solutions
- 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
- The method of fundamental solutions for the calculation of the eigenvalues of the Helmholtz equation
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