Particular solutions of the multi-Helmholtz-type equation

DOI10.1016/j.enganabound.2006.11.008zbMath1195.74060OpenAlexW2008589748MaRDI QIDQ1958349

A. S. Muleshkov, Michael A. Golberg

Publication date: 28 September 2010

Published in: Engineering Analysis with Boundary Elements (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.enganabound.2006.11.008

zbMATH Keywords

particular solutionradial basis functionplate vibrationbi-Bessel functionsmulti-Helmholtz equation

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of dynamical problems in solid mechanics (74H10) Vibrations in dynamical problems in solid mechanics (74H45) Plates (74K20)

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Cites Work

• Mathematical analysis and numerical study of true and spurious eigenequations for free vibration of plates using real-part BEM
• The method of fundamental solutions for inhomogeneous elliptic problems
• Particular solutions of Helmholtz-type operators using higher order polyharmonic splines
• T-complete functions for thin and thick plates on elastic foundation
• The Numerical Evaluation of Particular Solutions for Poisson's Equation
• Polynomial particular solutions for certain partial differential operators
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