Results 211 to 220 of about 91,915 (261)
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International Journal for Numerical Methods in Engineering, 1999
A new finite volume method for elliptic problems is presented and analyzed. The method employs a mixed primal-dual formulation in which two dual meshes are used. Error estimates are developed and numerical results are presented.
Thomas, J.-M., Trujillo, D.
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A new finite volume method for elliptic problems is presented and analyzed. The method employs a mixed primal-dual formulation in which two dual meshes are used. Error estimates are developed and numerical results are presented.
Thomas, J.-M., Trujillo, D.
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1999
As demonstrated in the preceding chapters, the errors in most numerical solutions increase dramatically as the physical scale of the simulated disturbance approaches the minimum scale resolvable on the numerical mesh. When solving equations for which smooth initial data guarantees a smooth solution at all later times, such as the barotropic vorticity ...
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As demonstrated in the preceding chapters, the errors in most numerical solutions increase dramatically as the physical scale of the simulated disturbance approaches the minimum scale resolvable on the numerical mesh. When solving equations for which smooth initial data guarantees a smooth solution at all later times, such as the barotropic vorticity ...
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2012
Beside the finite difference and finite element methods, a new numerical method has been recently proposed, which looks to be very promising for stable and reliable solutions of the fundamental differential equation of pollutant transport. It is the finite volume method, which is the object of advanced research, in view of the improvements that are ...
Marcello Benedini, George Tsakiris
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Beside the finite difference and finite element methods, a new numerical method has been recently proposed, which looks to be very promising for stable and reliable solutions of the fundamental differential equation of pollutant transport. It is the finite volume method, which is the object of advanced research, in view of the improvements that are ...
Marcello Benedini, George Tsakiris
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2016
The finite volume method is a more recent method than both finite difference and finite element methods. It is widely used in practice for example in fluid dynamics computations. We present the method in the simplest possible settings, first for one-dimensional elliptic problems, then for the transport equation in one and two dimensions. For the latter,
Hervé Le Dret, Brigitte Lucquin
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The finite volume method is a more recent method than both finite difference and finite element methods. It is widely used in practice for example in fluid dynamics computations. We present the method in the simplest possible settings, first for one-dimensional elliptic problems, then for the transport equation in one and two dimensions. For the latter,
Hervé Le Dret, Brigitte Lucquin
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Finite Element and Finite Volume Methods
2009In this chapter we consider finite element and finite volume discretisations of $$Lu\,: = - \varepsilon u'' - bu' + cu = f\,\,{\rm in}\,(0,1), \,\,\ u(0) = u (1) = 0,$$ with b ≥ β > 0. Its associated variational formulation is: Find \(u \in H_0^1 (0,1)\) such that $$a(u, v) = f(v)\,\,\, {\rm for\, all}\,\, v \in H_0^1 (0,1),$$ (5.2 ...
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Radiation therapy‐associated toxicity: Etiology, management, and prevention
Ca-A Cancer Journal for Clinicians, 2021Kyle Wang
exaly
2014
The finite volume method is a very popular method for the space discretization of partial differential problems in conservation form. For an in-depth presentation of the method, we suggest the monographs [LeV02a], [Wes01] and [Tor09].
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The finite volume method is a very popular method for the space discretization of partial differential problems in conservation form. For an in-depth presentation of the method, we suggest the monographs [LeV02a], [Wes01] and [Tor09].
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Classical Finite Volume Methods
2016Abstract We report on the development of classical finite volume methods from their first occurrence in the 1960s up to the 1980s and 1990s where this class of methods presented themselves as workhorses in CFD. We describe implementations on quadrilateral as well as on triangular grids and exploit the span from central difference schemes augmented ...
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