Application of the pseudo-spectral method to 2D eigenvalue problems in elasticity

zbMath1081.74049MaRDI QIDQ1773073

C. J. Talbot, Andrew Crampton

Publication date: 25 April 2005

Published in: Numerical Algorithms (Search for Journal in Brave)

zbMATH Keywords

matrix eigenvalue problemscoordinate singularitypole condition

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Spectral and related methods applied to problems in solid mechanics (74S25)

Related Items

Nyström methods and extrapolation for solving Steklov eigensolutions and its application in elasticity, An implementation of the exponential time differencing scheme to the magnetohydrodynamic equations in a spherical shell, Neural networks based on power method and inverse power method for solving linear eigenvalue problems, Mechanical quadrature methods and extrapolation algorithms for boundary integral equations with linear boundary conditions in elasticity, Mechanical quadrature methods and extrapolation for solving nonlinear problems in elasticity, The Hermite pseudospectral method for the two-dimensional Schrödinger equation with nonseparable potentials, Pseudo spectral methods applied to problems in elasticity, Comparing seven spectral methods for interpolation and for solving the Poisson equation in a disk: Zernike polynomials, Logan-Shepp ridge polynomials, Chebyshev-Fourier series, cylindrical Robert functions, Bessel-Fourier expansions, square-to-disk conformal mapping and radial basis functions

Uses Software

• Matlab

Cites Work

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• Pole condition for singular problems: The pseudospectral approximation
• A direct spectral collocation Poisson solver in polar and cylindrical coordinates
• Spectral Methods in MATLAB
• A fast spectral/difference method without pole conditions for Poisson-type equations in cylindrical and spherical geometries
• A Practical Guide to Pseudospectral Methods