Deprecated: $wgMWOAuthSharedUserIDs=false is deprecated, set $wgMWOAuthSharedUserIDs=true, $wgMWOAuthSharedUserSource='local' instead [Called from MediaWiki\HookContainer\HookContainer::run in /var/www/html/w/includes/HookContainer/HookContainer.php at line 135] in /var/www/html/w/includes/Debug/MWDebug.php on line 372
Numerical minimization of eigenmodes of a membrane with respect to the domain - MaRDI portal

Numerical minimization of eigenmodes of a membrane with respect to the domain

From MaRDI portal
Publication:5465553

DOI10.1051/cocv:2004011zbMath1076.74045OpenAlexW2145948434MaRDI QIDQ5465553

Edouard Oudet

Publication date: 9 August 2005

Published in: ESAIM: Control, Optimisation and Calculus of Variations (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=COCV_2004__10_3_315_0




Related Items (44)

Parametric shape optimization using the support functionNumerical calculation of extremal Steklov eigenvalues in 3D and 4DOptimisation of eigenvalues of the Dirichlet Laplacian with a surface area restrictionA level set method for Laplacian eigenvalue optimization subject to geometric constraintsOn the variation of longitudinal and torsional frequencies in a partially hinged rectangular plateOn a Classical Spectral Optimization Problem in Linear ElasticityShifted lattices and asymptotically optimal ellipsesExistence and regularity of optimal shapes for spectral functionals with Robin boundary conditionsOptimization of spectral functions of Dirichlet-Laplacian eigenvaluesA combined finite element and Bayesian optimization framework for shape optimization in spectral geometryBounds and extremal domains for Robin eigenvalues with negative boundary parameterAsymptotic behaviour of extremal averages of Laplacian eigenvaluesImproved Discrete Boundary Type Shape Gradients for PDE-constrained Shape OptimizationComputational Methods for Extremal Steklov ProblemsA new numerical approach for solving shape optimization fourth-order spectral problems among convex domainsConvergence analysis of Galerkin finite element approximations to shape gradients in eigenvalue optimizationSharp-interface limit of a multi-phase spectral shape optimization problem for elastic structuresShape optimization with virtual element methodMaximization of Laplace−Beltrami eigenvalues on closed Riemannian surfacesEffective shape optimization of Laplace eigenvalue problems using domain expressions of Eulerian derivativesOptimal boundary holes for the Sobolev trace constantSpectral optimization problemsLocal minimizers of functionals with multiple volume constraintsExtremal eigenvalues of the Laplacian on Euclidean domains and closed surfacesAsymptotic behaviour of optimal spectral planar domains with fixed perimeterMathematical analysis of the optimal habitat configurations for species persistenceMinimal convex combinations of three sequential Laplace-Dirichlet eigenvaluesNumerical optimization of low eigenvalues of the Dirichlet and Neumann laplaciansLipschitz regularity of the eigenfunctions on optimal domainsThe eigenvalues of the Laplacian with Dirichlet boundary condition in \(\mathbb {R}^2\) are almost never minimized by disksAn optimization problem for the first weighted eigenvalue problem plus a potentialMinimization of the Eigenvalues of the Dirichlet-Laplacian with a Diameter ConstraintQualitative and Numerical Analysis of a Spectral Problem with Perimeter ConstraintAbout Hölder-regularity of the convex shape minimizing λ2Maximising Neumann eigenvalues on rectanglesBlaschke–Santaló and Mahler inequalities for the first eigenvalue of the Dirichlet LaplacianOn the inverse spectral problem for Euclidean trianglesOn the range of the first two Dirichlet and Neumann eigenvalues of the LaplacianExtremal p -Laplacian eigenvaluesComputation of free boundary minimal surfaces via extremal Steklov eigenvalue problemsOn accuracy of approximate boundary and distributed \(H^1\) shape gradient flows for eigenvalue optimizationNumerical shape optimization among convex setsNumerical Minimization of Dirichlet Laplacian Eigenvalues of Four-Dimensional GeometriesPhase-field methods for spectral shape and topology optimization



Cites Work


This page was built for publication: Numerical minimization of eigenmodes of a membrane with respect to the domain