Optimal Bilaplacian Eigenvalues

DOI10.1137/130948860zbMath1303.35118OpenAlexW2091135705MaRDI QIDQ2930956

Pedro R. S. Antunes

Publication date: 21 November 2014

Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/130948860

zbMATH Keywords

shape optimizationmethod of fundamental solutionsbilaplacian eigenvalues

Mathematics Subject Classification ID

Boundary value problems for higher-order elliptic equations (35J40) Vibrations in dynamical problems in solid mechanics (74H45) Plates (74K20) Estimates of eigenvalues in context of PDEs (35P15) PDEs in connection with mechanics of deformable solids (35Q74) PDEs in connection with control and optimization (35Q93) Fundamental solutions, Green's function methods, etc. for boundary value problems involving PDEs (65N80)

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Shifted lattices and asymptotically optimal ellipses ⋮ Improved Discrete Boundary Type Shape Gradients for PDE-constrained Shape Optimization ⋮ Shape Optimization of the Stokes Eigenvalue Problem ⋮ A new numerical approach for solving shape optimization fourth-order spectral problems among convex domains ⋮ On the Behavior of Clamped Plates under Large Compression

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