Results 191 to 200 of about 19,317 (244)
A multiscale discontinuous Galerkin method with the computational structure of a continuous Galerkin method [PDF]
Computer Methods in Applied Mechanics and Engineering, 2006 Proliferation of degrees-of-freedom has plagued discontinuous Galerkin methodology from its inception over 30 years ago. This paper develops a new computational formulation that combines the advantages of discontinuous Galerkin methods with the data structure of their continuous Galerkin counterparts. The new method uses local, element-wise problems to
Hughes TJR +3 more
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Galerkin and discontinuous Galerkin spectral/hp methods
Computer Methods in Applied Mechanics and Engineering, 1999zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Y. Du +4 more
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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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Galerkin's method and stability
Mathematical Methods in the Applied Sciences, 1980AbstractApproximation in least squares by Galerkin's method leads to a consideration of strongly minimal systems. Theorems are derived which permit the recognition of systems which are not strongly minimal from the characteristics of the elements themselves.
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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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Discontinuous Galerkin Methods [PDF]
, 2012 In this final chapter we present the discontinuous Galerkin (dG) method. This method is based on finite element spaces that consist of discontinuous piecewise polynomials defined on a partition of the computational domain. Such methods are very flexible, for example, since they allow construction of more general methods and since they allow for simple ...
Mats G. Larson, Fredrik Bengzon
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The Standard Galerkin Method [PDF]
, 1997 In this introductory chapter we shall study the standard Galerkin finite element method for the approximate solution of the model initial-boundary value problem for the heat equation, $$\eqalign{ & u_t - \Delta u = f{\text{ }}in\:{\text{ }}\Omega ,\:{\text{ }}for\:t > 0, \cr & u = 0\:on\:\partial \Omega ,\:for\:t > 0,\:with\:u(\cdot,0) = v\:in ...
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1977
Consider a separable Hilbert space H and a set M of its elements which is dense in H. According to Theorem 6.18, p. 79, if for some element u ∈ H $$\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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Galerkin method for discs capacitors
Mathematics and Computers in Simulation, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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