Where Best to Hold a Drum Fast

DOI10.1137/S003614450241427zbMath1037.35048OpenAlexW2028156966MaRDI QIDQ4426331

Steven J. Cox, Paul X. Uhlig

Publication date: 16 September 2003

Published in: SIAM Review (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s003614450241427

zbMATH Keywords

existencenumerical methodsnecessary conditionsmembraneoptimal designextremizersextremal Robin problemsleast eigenvalue of the Laplacian

Mathematics Subject Classification ID

Numerical mathematical programming methods (65K05) Optimality conditions for problems involving partial differential equations (49K20) Boundary value problems for second-order elliptic equations (35J25) Vibrations in dynamical problems in solid mechanics (74H45) Estimates of eigenvalues in context of PDEs (35P15)

Related Items (3)

A boundary piecewise constant level set method for boundary control of eigenvalue optimization problems ⋮ On the lowest eigenvalue of Laplace operators with mixed boundary conditions ⋮ Numerical Minimization of Dirichlet Laplacian Eigenvalues of Four-Dimensional Geometries

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