Results 171 to 180 of about 68,141 (218)
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Galerkin and collocation‐Galerkin methods with superconvergence and optimal fluxes
International Journal for Numerical Methods in Engineering, 1981AbstractFinite element methods are formulated and investigated for the effectiveness factor problem for heat and mass transfer with chemical reactions in catalyst pellet models. A Galerkin finite element method is compared with a previous C1 collocation method7.
Carey, G. F. +2 more
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International Journal for Numerical Methods in Engineering, 1994
AbstractAn element‐free Galerkin method which is applicable to arbitrary shapes but requires only nodal data is applied to elasticity and heat conduction problems. In this method, moving least‐squares interpolants are used to construct the trial and test functions for the variational principle (weak form); the dependent variable and its gradient are ...
Belytschko, T., Lu, Y. Y., Gu, L.
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AbstractAn element‐free Galerkin method which is applicable to arbitrary shapes but requires only nodal data is applied to elasticity and heat conduction problems. In this method, moving least‐squares interpolants are used to construct the trial and test functions for the variational principle (weak form); the dependent variable and its gradient are ...
Belytschko, T., Lu, Y. Y., Gu, L.
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2021
In this chapter, we concentrate on the lines of proof of the Browder–Minty Theorem extracting from them the idea of Galerkin type approximation as given in Gajewski et al. (Nichtlineare Operatorgleichungen und Operatordifferentialgleichungen, Akademie-Verlag, Berlin, 1974) and also in Franců (Aplikace matematiky 35(4), 257–301, 1990)
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In this chapter, we concentrate on the lines of proof of the Browder–Minty Theorem extracting from them the idea of Galerkin type approximation as given in Gajewski et al. (Nichtlineare Operatorgleichungen und Operatordifferentialgleichungen, Akademie-Verlag, Berlin, 1974) and also in Franců (Aplikace matematiky 35(4), 257–301, 1990)
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1977
Consider a separable Hilbert space H and a set M of its elements which is dense in H. According to Theorem 6.18, p. 79, if for some element u ∈ H $$\left( {u,v} \right) = 0\,\,\,holds\,for\,every\,\,\,v \in M,$$ (14.1) then it follows that u = 0 in H. Let now $${\varphi _1},{\varphi _2},\,...$$ (14.2) be a base in H. The assertion is
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Consider a separable Hilbert space H and a set M of its elements which is dense in H. According to Theorem 6.18, p. 79, if for some element u ∈ H $$\left( {u,v} \right) = 0\,\,\,holds\,for\,every\,\,\,v \in M,$$ (14.1) then it follows that u = 0 in H. Let now $${\varphi _1},{\varphi _2},\,...$$ (14.2) be a base in H. The assertion is
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Function generation by Galerkin's method
Mechanism and Machine Theory, 1989Abstract An original method referred to as Galerkin's method in mathematics has been proposed for determining the dimensions of a mechanism which is to approximate a given continuous function. The application of this method has been shown on a four-bar for 3- and 5-parameter cases.
AKCALI, ID, DITTRICH, G
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1973
The aim of the following chapters is to study the approximation of the solution of problem (1.2). To begin with, we present here the method of Galerkin and we will see how this leads to an approximate solution of Equation (1.2).
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The aim of the following chapters is to study the approximation of the solution of problem (1.2). To begin with, we present here the method of Galerkin and we will see how this leads to an approximate solution of Equation (1.2).
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C0 — Collocation — Galerkin methods
1979A C0-Collocation-Galerkin (C0-C-G) method is formulated and analyzed for finite element solution of linear and nonlinear singular boundary-value problems. Theoretical error estimates are ascertained for both the linear problems and a specific class of nonlinear problems.
Graham F. Carey, Mary F. Wheeler
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Galerkin Methods for Parabolic Equations
SIAM Journal on Numerical Analysis, 1970Galerkin-type methods, both continuous and discrete in time, are considered for approximating solutions of linear and nonlinear parabolic problems. Bounds reducing the estimation of the error to questions in approximation theory are derived for the several methods studied.
Douglas, Jim jun., Dupont, Todd
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Galerkin method for discs capacitors
Mathematics and Computers in Simulation, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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A Multiscale Discontinuous Galerkin Method
2006We propose a new class of Discontinuous Galerkin (DG) methods based on variational multiscale ideas. Our approach begins with an additive decomposition of the discontinuous finite element space into continuous (coarse) and discontinuous (fine) components.
Pavel B. Bochev +2 more
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