Sloshing eigenvalues of two-dimensional regions with holes

DOI10.1007/BF00946977zbMath0502.76023MaRDI QIDQ1172970

David W. Fox, Vincent G. Sigillito

Publication date: 1981

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

zbMATH Keywords

eigenvaluesfree oscillationsrectangular regionholes in toprigorous lower and upper boundsshloshing frequenciesthree-dimensional rectangular parallelepipeds with partial tops

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Incompressible inviscid fluids (76B99)

Related Items

Sloshing frequencies

Cites Work

• Lower bounds to eigenvalues using operator decompositions of the form \(B*B\)
• Upper and lower bounds for sloshing frequencies by intermediate problems
• Sloshing frequencies for a half-space with circular or strip-like aperture
• LOWER BOUNDS FOR EIGENVALUES WITH APPLICATION TO THE HELIUM ATOM
• Truncations in the method of intermediate problems for lower bounds to eigenvalues
• Lower bounds for sloshing frequencies