Results 231 to 240 of about 96,751 (277)
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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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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2018
The Galerkin method is a very general framework of methods which is very robust. The idea is as follows. Starting from a variational problem set in an infinite dimensional space, a sequence of finite dimensional approximation spaces is defined. The corresponding finite dimensional approximated problems are then solved, which is usually easier to do ...
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The Galerkin method is a very general framework of methods which is very robust. The idea is as follows. Starting from a variational problem set in an infinite dimensional space, a sequence of finite dimensional approximation spaces is defined. The corresponding finite dimensional approximated problems are then solved, which is usually easier to do ...
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Discontinuous Galerkin Methods
2008In this article, we describe some simple and commonly used discontinuous Galerkin methods for elliptic, Stokes and convection-diffusion problems. We illustrate these methods by numerical experiments.
Mary F. Wheeler, Vivette Girault
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Galerkin's method for diffusion equations
USSR Computational Mathematics and Mathematical Physics, 1975Abstract GALERKIN'S method of solving multidimensional diffusion equations with piecewise-constant coefficients is explained, a method of constructing almost orthonormal systems of coordinate functions is proposed, a qualitative estimate of the ordering of the coordinate functions is given, and an analysis of the results of a calculation of two-group
V.I. Lebedev +2 more
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1995
In den vorherigen Kapiteln wurde beschrieben, wie die FEM fur die Losung von Minimierungsproblemen und damit zusammenhangenden DG benutzt wird. Fur eine grose Anzahl von DG existiert jedoch kein aquivalentes Mini-mierungsproblem, so das auf sie die Ritzsche Methode nicht anwendbar ist.
J. J. I. M. van Kan, A. Segal
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In den vorherigen Kapiteln wurde beschrieben, wie die FEM fur die Losung von Minimierungsproblemen und damit zusammenhangenden DG benutzt wird. Fur eine grose Anzahl von DG existiert jedoch kein aquivalentes Mini-mierungsproblem, so das auf sie die Ritzsche Methode nicht anwendbar ist.
J. J. I. M. van Kan, A. Segal
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Discontinuous Galerkin Methods
2016This chapter is devoted to the construction, based on discrete energy control, of discontinuous Galerkin methods (DGM) which are well-adapted to the solution of wave problems. In a first part, these methods are described by using an abstract framework for first-order linear hyperbolic problems which covers, in particular, all the transient wave ...
Gary Cohen, Sébastien Pernet
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The Discontinuous Galerkin Method [PDF]
, 2014 Accuracy preserving and nonoscillatory shock capturing technique is one of the bottlenecks in the development of discontinuous Galerkin method. In this chapter, a new limiter based on the secondary reconstruction and WENO approach in characteristic space is developed for the discontinuous Galerkin method.
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