Results 181 to 190 of about 50,359 (223)
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DISCONTINUOUS GALERKIN FOR TURBULENT FLOWS
2011The purpose of this chapter is to present all the relevant features of a high-order DG method developed over the years for the numerical solution of the RANS and k-w equations. The method has been implemented using orthogonal and hierarchical modal shape functions defined in the real space.
Francesco Bassi +4 more
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1998
The process of transforming a problem from a differential equation to a weak variational form was established in chapter 6. Now, trial functions and, in particular, the finite element form of trial functions are used with the variational form. The end result does not differ from earlier chapters; the same stiffness matrix and equations are derived, but
David Henwood, Javier Bonet
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The process of transforming a problem from a differential equation to a weak variational form was established in chapter 6. Now, trial functions and, in particular, the finite element form of trial functions are used with the variational form. The end result does not differ from earlier chapters; the same stiffness matrix and equations are derived, but
David Henwood, Javier Bonet
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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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Galerkin schemes and the sinc-Galerkin method for singular Sturm-Liouville problems
Journal of Computational Physics, 1990The computation of the eigenvalues of the Sturm-Liouville problem \(Lu(x)\equiv -u''(x)+q(x)u(x)=\lambda \rho (x)u(x),\quad ...
Jarratt, Mary +2 more
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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 ...
openaire +1 more source