The method of fundamental solutions applied to the calculation of eigensolutions for 2D plates

DOI10.1002/nme.2404zbMath1257.74096OpenAlexW2046023215MaRDI QIDQ4906495

Pedro R. S. Antunes, Carlos J. S. Alves

Publication date: 27 February 2013

Published in: International Journal for Numerical Methods in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/nme.2404

zbMATH Keywords

eigensolutionsmethod of fundamental solutionsplate problem

Mathematics Subject Classification ID

Plates (74K20) Fundamental solutions, Green's function methods, etc. for boundary value problems involving PDEs (65N80)

Related Items

The method of fundamental solutions applied to boundary eigenvalue problems, Nyström methods and extrapolation for solving Steklov eigensolutions and its application in elasticity, The ultra weak variational formulation of thin clamped plate problems, Meshless analysis of parabolic interface problems, A boundary integral equation method for mode elimination and vibration confinement in thin plates with clamped points, Implementation of a generalized exponential basis functions method for linear and non‐linear problems, On the choice of source points in the method of fundamental solutions, An overview of the method of fundamental solutions -- solvability, uniqueness, convergence, and stability, Low-complexity computation of plate eigenmodes with Vekua approximations and the method of particular solutions, Combinations of the method of fundamental solutions for general inverse source identification problems, Determination of elastic resonance frequencies and eigenmodes using the method of fundamental solutions, Hybrid shape parameter strategy for the RBF approximation of vibrating systems, Meshless Collocation Method for Inverse Source Identification Problems, Optimal Shapes Maximizing the Steklov Eigenvalues, On the Behavior of Clamped Plates under Large Compression, Extremal eigenvalues of the Dirichlet biharmonic operator on rectangles, The Transition to a Point Constraint in a Mixed Biharmonic Eigenvalue Problem

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