Results 11 to 20 of about 81,251 (238)
Журнал інженерних наук, 2018 In this work, the Ritz variational method for solving the flexural problem of Kirchhoff–Love plates under transverse distributed load has been presented systematically in matrix form.
Ike C. C.
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Ain Shams Engineering Journal, 2016 It is well known that the classical global approximation methods such as the conventional Ritz method and the conventional differential quadrature method (DQM) have some difficulty in determining the natural frequencies of rectangular plates involving ...
S.A. Eftekhari
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Buckling of Steel Conical Panels Reinforced with Stiffeners
Structural Mechanics of Engineering Constructions and Buildings, 2023 Conical shells and their panels are important elements of building structures, but have not been studied sufficiently. This paper explores buckling of truncated steel conical panels reinforced with an orthogonal grid of stiffener plates.
Alexey A. Semenov +2 more
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Acoustic Response of an Isotropic Beam Under Axially Variable Loads Using Ritz and Rayleigh Integral Methods [PDF]
Archives of Acoustics, 2022 Vibro-acoustic response of an isotropic beam under the action of variable axial loads (VALs), is presented in the study. Effects of six different types of VALs and three types of end conditions on buckling, free vibration and sound radiation ...
Somi Naidu Balireddy +3 more
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Interior Estimates for Ritz-Galerkin Methods [PDF]
Mathematics of Computation, 1974 Interior a priori error estimates in Sobolev norms are derived from interior Ritz-Galerkin equations which are common to a class of methods used in approximating solutions of second order elliptic boundary value problems. The estimates are valid for a large class of piecewise polynomial subspaces used in practice, which are defined on both uniform and ...
Nitsche, Joachim A., Schatz, Alfred H.
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Hemispherical Resonator of a Rate-integrating Gyroscope: A Novel Method for Determination of Eigenfrequencies and Eigenforms in Presence of Imperfections [PDF]
Journal of Applied and Computational Mechanics, 2023 This paper investigates the problem of free vibrations of a hemispherical shell resonator of a rate-integrating gyroscope. A new realization of the approximate Ritz method for determining the frequencies and forms of free vibrations of an elastic ...
Dmitry Indeitsev +3 more
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Convergence Rate Analysis for Deep Ritz Method
Communications in Computational Physics, 2022 Using deep neural networks to solve PDEs has attracted a lot of attentions recently. However, why the deep learning method works is falling far behind its empirical success. In this paper, we provide a rigorous numerical analysis on deep Ritz method (DRM) \cite{wan11} for second order elliptic equations with Neumann boundary conditions.
Duan, Chenguang +5 more
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Rayleigh-Ritz majorization error bounds with applications to FEM [PDF]
, 2009 The Rayleigh-Ritz (RR) method finds the stationary values, called Ritz values, of the Rayleigh quotient on a given trial subspace as approximations to eigenvalues of a Hermitian operator $A$.
Argentati, Merico E., Knyazev, Andrew V.
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Вісник Національного технічного університету "ХПÌ": Системний аналіз, управління та інформаційні технології, 2022 Mixing processes are found in the chemical, pharmaceutical and food industries. Fluid mixing is one of the fundamental scientific problems associated with modern concepts of regular and chaotic dynamics.
Nadiia Gybkina +2 more
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Accurate calculation of the eigenvalues of a new simple class of superpotentials in SUSY quantum mechanics [PDF]
, 2013 We obtain accurate eigenvalues for two recently derived SUSY partner Hamiltonians. We improve the Rayleigh-Ritz variational method proposed by the authors and show how to apply the Riccati-Pad\'{e} method to those particular partner ...
Fernández, Francisco M.
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