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COMPARISON OF FINITE VOLUME AND FINITE DIFFERENCE METHODS AND APPLICATION
Analysis and Applications, 2006In this article, we consider finite volume methods based on a non-uniform grid. Finite volume methods are compared to finite difference methods based on a related grid. As an application, various convergence results are proved for the finite volume function spaces and for some model elliptic and parabolic boundary value problems using these ...
Faure, Sylvain +2 more
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Zonal Multiscale Finite-Volume framework
Journal of Computational Physics, 2017zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Davide Cortinovis, Patrick Jenny
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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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2001
In Chapter 3, we saw how to derive finite-difference approximations to arbitrary derivatives. In Chapter 4, we saw that the application of a finite-difference approximation to the spatial derivatives in our model PDE’s produces a coupled set of ODE’s.
H. Lomax +2 more
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In Chapter 3, we saw how to derive finite-difference approximations to arbitrary derivatives. In Chapter 4, we saw that the application of a finite-difference approximation to the spatial derivatives in our model PDE’s produces a coupled set of ODE’s.
H. Lomax +2 more
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Analysis of grounding systems in soils with finite volumes of different resistivities
IEEE Transactions on Power Delivery, 2002Jinxi Ma, F P Dawalibi
exaly +2 more sources
Simple finite volumes and finite elements procedures for food quality and safety simulations
Journal of Food Engineering, 2006R C Martins
exaly

