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Continuit� et diff�rentiabilit� d'�l�ments propres: Application � l'optimisation de structures

https://doi.org/10.1007/bf01447319
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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1007/978-3-642-66282-9openalex-snapshot
Perturbation Theory for Linear Operators
inferredcites →https://doi.org/10.1007/978-3-642-80684-1openalex-snapshot
Lectures on Mathematical Theory of Extremum Problems
inferredcites →https://doi.org/10.1007/978-3-662-12678-3openalex-snapshot
Perturbation theory for linear operators
inferredcites →https://doi.org/10.1007/978-94-009-8606-0_24openalex-snapshot
Semi Derivatives of Repeated Eigenvalues
inferredcites →https://doi.org/10.1007/bf00247511openalex-snapshot
Uniqueness criteria for the conduction-diffusion solution of the Boussinesq equations
inferredcites →https://doi.org/10.1007/bf00253151openalex-snapshot
Parameter and domain dependence of eigenvalues of elliptic partial differential equations
inferredcites →https://doi.org/10.1007/bf00933973openalex-snapshot
Shape design sensitivity of a membrane
inferredcites →https://doi.org/10.1007/bfb0006501openalex-snapshot
Optimization Techniques
inferredcites →https://doi.org/10.1007/bfb0007252openalex-snapshot
Optimal design and eigenvalue problems
inferredcites →https://doi.org/10.1016/0020-7683(77)90043-9openalex-snapshot
On single and bimodal optimum buckling loads of clamped columns
inferredcites →https://doi.org/10.1016/0020-7683(84)90034-9openalex-snapshot
Optimal structural design under multiple eigenvalue constraints
inferredcites →https://doi.org/10.1016/s0168-2024(09)x7002-5openalex-snapshot
Theory of Extremal Problems
inferredcites →https://doi.org/10.1051/m2an/1990240303071openalex-snapshot
Dependence of the buckling load of a nonshallow arch with respect to the shape of its midcurve
inferredcites →https://doi.org/10.1080/03601218008907358openalex-snapshot
Design Sensitivity Analysis in Structural Mechanics.II. Eigenvalue Variations
inferredcites →https://doi.org/10.1080/03601218208907414openalex-snapshot
Design Sensitivity Analysis in Structural Mechanics. III. Effects of Shape Variation
inferredcites →https://doi.org/10.1137/0323040openalex-snapshot
Nondifferentiable Optimization Problems for Elliptic Systems

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

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Etude de la Sensibilité de Toutes les Valeurs Propres non Nulles d'un Opérateur Compact Autoadjoint
inferred← citeshttps://doi.org/10.1007/978-0-387-34922-0_7openalex-snapshot
Some new ideas for a Schiffer’s conjecture
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A Differentiability Result for the First Eigenvalue of the p-Laplacian upon Domain Perturbation
inferred← citeshttps://doi.org/10.1007/s00158-012-0784-6openalex-snapshot
Approximation of the critical buckling factor for composite panels
inferred← citeshttps://doi.org/10.1007/s002110050109openalex-snapshot
Sensitivity analysis of all eigenvalues of a symmetric matrix
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Is the Faber–Krahn inequality true for the Stokes operator?
inferred← citeshttps://doi.org/10.1016/j.jcp.2016.12.044openalex-snapshot
Detection of holes in an elastic body based on eigenvalues and traces of eigenmodes
inferred← citeshttps://doi.org/10.1016/j.jmps.2016.06.014openalex-snapshot
Stacking sequence and shape optimization of laminated composite plates via a level-set method
inferred← citeshttps://doi.org/10.1016/j.nonrwa.2012.05.003openalex-snapshot
Damage identification in a concrete dam by fitting measured modal parameters
inferred← citeshttps://doi.org/10.1016/s0362-546x(00)00165-6openalex-snapshot
Second-order directional derivatives of all eigenvalues of a symmetric matrix
inferred← citeshttps://doi.org/10.1016/s0764-4442(97)87888-3openalex-snapshot
Analyse de la sensibilité du second ordre de toutes les valeurs propres d'une matrice symétrique
inferred← citeshttps://doi.org/10.1080/00411459908205851openalex-snapshot
Domain derivative of the leading eigenvalue of a model transport operator
inferred← citeshttps://doi.org/10.1080/01630569508816616openalex-snapshot
Sensitivity analysis of nondifferentiable sums of singular values of rectangular matrices
inferred← citeshttps://doi.org/10.1088/0266-5611/15/3/301openalex-snapshot
Some results about Schiffer's conjectures
inferred← citeshttps://doi.org/10.1109/tmi.2014.2371995openalex-snapshot
A Direct PCA-Based Approach for Real-Time Description of Physiological Organ Deformations
inferred← citeshttps://doi.org/10.1137/050624108openalex-snapshot
Velocity Extension for the Level-set Method and Multiple Eigenvalues in Shape Optimization
inferred← citeshttps://doi.org/10.1137/16m1083773openalex-snapshot
Numerical Minimization of Dirichlet Laplacian Eigenvalues of Four-Dimensional Geometries
inferred← citeshttps://doi.org/10.1137/s0363012902414032openalex-snapshot
Addendum to "Generic Simplicity of the Spectrum and Stabilization for a Plate Equation"
inferred← citeshttps://doi.org/10.1515/anona-2020-0183openalex-snapshot
Shape and topology optimization involving the eigenvalues of an elastic structure: A multi-phase-field approach
inferred← citeshttps://doi.org/10.3934/dcdss.2016006openalex-snapshot
On eigenelements sensitivity for compact self-adjoint operators and applications
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