NDLI: Design of a Composite Membrane with Patches

Content Provider	Springer Nature Link
Author	Cuccu, Fabrizio Emamizadeh, Behrouz Porru, Giovanni
Copyright Year	2010
Abstract	This paper is concerned with minimization and maximization problems of eigenvalues. The principal eigenvalue of a differential operator is minimized or maximized over a set which is formed by intersecting a rearrangement class with an affine subspace of finite co-dimension. A solution represents an optimal design of a 2-dimensional composite membrane Ω, fixed at the boundary, built out of two different materials, where certain prescribed regions (patches) in Ω are occupied by both materials. We prove existence results, and present some features of optimal solutions. The special case of one patch is treated in detail.
Starting Page	169
Ending Page	184
Page Count	16
File Format	PDF
ISSN	00954616
Journal	Applied Mathematics and Optimization
Volume Number	62
Issue Number	2
e-ISSN	14320606
Language	English
Publisher	Springer-Verlag
Publisher Date	2010-02-23
Publisher Place	New York
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Minimization and maximization problems Rearrangements Principal eigenvalue Optimal solutions Numerical and Computational Physics Mathematical Methods in Physics Theoretical, Mathematical and Computational Physics Systems Theory, Control Calculus of Variations and Optimal Control; Optimization
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics Control and Optimization

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Design of a Composite Membrane with Patches