Ritz method - Open Access .click

SIAM Journal on Numerical Analysis, 1984
This paper is concerned with the application of the Ritz–Galerkin method to the numerical solution of singular boundary value problems of the type arising when Poisson’s equation on, a domain with cylindrical or spherical symmetry is reduced to a one-dimensional problem. The objective is to derive a priori $L_2 $- and $L_\infty $-norm estimates for the
O. AXELSSON, V.A. BARKER
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Convergence of the Ritz Method

Applied Mechanics Reviews, 1995
The Ritz method is widely used for the solution of problems in structural mechanics, especially eigenvalue problems where the free vibration frequencies or buckling loads are sought. It is well-known that the method yields upper bounds for these eigenvalues, and that convergence to exact eigenvalues will occur if proper admissible functions are used to
Arthur W. Leissa, Samir M. Shihada
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The Ritz Method

1977
As before, let A be a positive definite operator on a linear set D A in a separable Hilbert space H, and let f ∈ H. Let H A be the Hilbert space of Chap. 10 (thus separable because H is separable, see p. 146). In H A consider a base (i.e., an at most countable linearly independent complete system) $$ {{\varphi }_{1}},{{\varphi }_{2}}, \ldots {\text{
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physics
rayleigh-ritz method
buckling

shells
natural frequency