Results 181 to 190 of about 81,251 (238)
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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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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, 1995The 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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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) $$ {{\varphi }_{1}},{{\varphi }_{2}}, \ldots {\text{
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As before, let A be a positive definite operator on a linear set D A in a separable Hilbert space H, and let f ∈ H. Let H A be the Hilbert space of Chap. 10 (thus separable because H is separable, see p. 146). In H A consider a base (i.e., an at most countable linearly independent complete system) $$ {{\varphi }_{1}},{{\varphi }_{2}}, \ldots {\text{
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2013
This is the first of two chapters devoted to the approximate analysis of continuous systems. In this chapter, a global method of approximation is considered: the Rayleigh-Ritz method. It is based on the definition of a set of global assumed modes defined on the entire domain and satisfying the kinematic boundary conditions.
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This is the first of two chapters devoted to the approximate analysis of continuous systems. In this chapter, a global method of approximation is considered: the Rayleigh-Ritz method. It is based on the definition of a set of global assumed modes defined on the entire domain and satisfying the kinematic boundary conditions.
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Gauge-invariant Ritz's method for electrodynamics
Physical Review D, 1984Ritz's method is formulated for electrodynamics. The wave function is expanded in terms of the scalar basis function. For the classical electromagnetic field, the expansion coefficients are determined by the direct variation of the action functional. Quantization is performed by the path integral.
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Response using the Rayleigh‐Ritz method
Earthquake Engineering & Structural Dynamics, 1979AbstractAs an example of the extension of the Rayleigh‐Ritz method to response calculations, analysis is outlined for a damped rectangular plate. For harmonic excitation amplitudes of displacement and bending moment are compared with values from a modal solution from the plate equation.
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Journal of Mathematical Chemistry
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Rayleigh-Ritz Method for Plate Flexure
Journal of the Engineering Mechanics Division, 1967A method is presented for obtaining two-dimensional plate element displacement functions which may allow continuity in any required derivative of the displacement parameter. These functions for slope and curvature continuity are used to obtain the load deflection characteristics of square plates simply supported or built-in along their edges.
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A ritz method for an optimal control problem
Journal of Optimization Theory and Applications, 1973We generalize and simplify the proofs of the basic papers of Bosarge and Johnson (Refs. 1-3) on a variational procedure for approximating the solution of thestate regular problem. We derive generala priori error bounds for this procedure and apply these results to obtain asymptotic error bounds for the special case of spline-type approximations.
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