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The two phase drum with the deepest bass note

https://doi.org/10.1007/bf03167141
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Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1007/978-3-540-69952-1openalex-snapshot
Multiple Integrals in the Calculus of Variations
inferredcites →https://doi.org/10.1007/bf00280828openalex-snapshot
Extremal eigenvalue problems defined for certain classes of functions
inferredcites →https://doi.org/10.1007/bf01447325openalex-snapshot
Extremal eigenvalue problems for composite membranes, I
inferredcites →https://doi.org/10.1007/bf01447326openalex-snapshot
Extremal eigenvalue problems for composite membranes, II
inferredcites →https://doi.org/10.1007/bf02566289openalex-snapshot
Extremal eigenvalue problems defined on conformal classes of compact Riemannian manifolds
inferredcites →https://doi.org/10.1007/bf02790009openalex-snapshot
Regularity in elliptic free boundary problems I
inferredcites →https://doi.org/10.1007/bfb0075060openalex-snapshot
Rearrangements and Convexity of Level Sets in PDE
inferredcites →https://doi.org/10.1016/0045-7825(86)90073-3openalex-snapshot
Numerical study of a relaxed variational problem from optimal design
inferredcites →https://doi.org/10.1137/0613025openalex-snapshot
Implicit Application of Polynomial Filters in a k -Step Arnoldi Method

What points at this work

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

inferred← citeshttps://doi.org/10.1006/jcph.2001.6789openalex-snapshot
Level Set Methods for Optimization Problems Involving Geometry and Constraints
inferred← citeshttps://doi.org/10.1007/3-7643-7401-2_29openalex-snapshot
Some Recent Results Regarding Symmetry and Symmetry-breaking Properties of Optimal Composite Membranes
inferred← citeshttps://doi.org/10.1007/bf02316974openalex-snapshot
Extremal Eigenvalue Problems for Two-Phase Conductors
inferred← citeshttps://doi.org/10.1007/pl00005534openalex-snapshot
Symmetry Breaking and Other Phenomena in the Optimization of Eigenvalues for Composite Membranes
inferred← citeshttps://doi.org/10.1007/s00158-023-03692-9openalex-snapshot
Accelerating a phase field method by linearization for eigenfrequency topology optimization
inferred← citeshttps://doi.org/10.1007/s00211-014-0678-1openalex-snapshot
Finite element approximation to the extremal eigenvalue problem for inhomogenous materials
inferred← citeshttps://doi.org/10.1007/s00245-011-9153-xopenalex-snapshot
Principal Eigenvalue Minimization for an Elliptic Problem with Indefinite Weight and Robin Boundary Conditions
inferred← citeshttps://doi.org/10.1007/s00245-026-10438-8openalex-snapshot
Extremal Eigenvalues of Weighted Steklov Problems
inferred← citeshttps://doi.org/10.1007/s10915-012-9629-0openalex-snapshot
Efficient Rearrangement Algorithms for Shape Optimization on Elliptic Eigenvalue Problems
inferred← citeshttps://doi.org/10.1007/s10915-016-0222-9openalex-snapshot
Minimizing Eigenvalues for Inhomogeneous Rods and Plates
inferred← citeshttps://doi.org/10.1007/s10915-020-01389-5openalex-snapshot
Linear Convergence of a Rearrangement Method for the One-dimensional Poisson Equation
inferred← citeshttps://doi.org/10.1007/s10915-021-01413-2openalex-snapshot
Extremal Rearrangement Problems Involving Poisson’s Equation with Robin Boundary Conditions
inferred← citeshttps://doi.org/10.1007/s10915-021-01662-1openalex-snapshot
A Two-Grid Binary Level Set Method for Eigenvalue Optimization
inferred← citeshttps://doi.org/10.1016/j.camwa.2013.04.012openalex-snapshot
A way of updating the density function for the design of the drum
inferred← citeshttps://doi.org/10.1016/j.jmaa.2011.06.035openalex-snapshot
Laplace eigenvalues on regular polygons: A series in 1/N
inferred← citeshttps://doi.org/10.1016/s0377-0427(99)00288-5openalex-snapshot
The optimal design of tubular structures
inferred← citeshttps://doi.org/10.1051/cocv/2018029openalex-snapshot
Extremal spectral gaps for periodic Schrödinger operators
inferred← citeshttps://doi.org/10.1051/cocv:2003011openalex-snapshot
Optimal design of turbines with an attached mass
inferred← citeshttps://doi.org/10.1080/01630563.2011.592244openalex-snapshot
Minimization of the Principal Eigenvalue Under Neumann Boundary Conditions
inferred← citeshttps://doi.org/10.1080/03605309408821015openalex-snapshot
The rate at which energy decays in a damped String
inferred← citeshttps://doi.org/10.1137/120881865openalex-snapshot
Minimal Convex Combinations of Sequential Laplace--Dirichlet Eigenvalues
inferred← citeshttps://doi.org/10.1137/130934568openalex-snapshot
Minimal Dirichlet Energy Partitions for Graphs
inferred← citeshttps://doi.org/10.1137/19m1251709openalex-snapshot
Minimization of the First Nonzero Eigenvalue Problem for Two-Phase Conductors with Neumann Boundary Conditions
inferred← citeshttps://doi.org/10.1137/21m1393121openalex-snapshot
Quantitative Stability for Eigenvalues of Schrödinger Operator, Quantitative Bathtub Principle, and Application to the Turnpike Property for a Bilinear Optimal Control Problem
inferred← citeshttps://doi.org/10.1137/s0036141097314537openalex-snapshot
The Shape of the Tallest Column
inferred← citeshttps://doi.org/10.1137/s003614450241427openalex-snapshot
Where Best to Hold a Drum Fast
inferred← citeshttps://doi.org/10.1137/s1052623497326083openalex-snapshot
Where Best to Hold a Drum Fast
inferred← citeshttps://doi.org/10.3233/asy-201615openalex-snapshot
Singular limits of sign-changing weighted eigenproblems
inferred← citeshttps://doi.org/10.3934/mbe.2008.5.315openalex-snapshot
Principal eigenvalue for an elliptic problem with indefinite weight on cylindrical domains
inferred← citeshttps://doi.org/10.4208/cicp.190309.201009aopenalex-snapshot
A Monotonic Algorithm for Eigenvalue Optimization in Shape Design Problems of Multi-Density Inhomogeneous Materials
inferred← citeshttps://doi.org/10.4208/nmtma.2013.1208nmopenalex-snapshot
Extremal Eigenvalues of the Sturm-Liouville Problems with Discontinuous Coefficients
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