[PDF] Top 20 2D/3D Discrete Duality Finite Volume (DDFV) scheme for anisotropic- heterogeneous elliptic equations, application to the electrocardiogram simulation.
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2D/3D Discrete Duality Finite Volume (DDFV) scheme for anisotropic- heterogeneous elliptic equations, application to the electrocardiogram simulation.
... with heterogeneous anisotropic conductivity ...on the definition of a discrete divergence and a discrete gradient ...These discrete operators have close relationships with ... Voir le document complet
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A 2D/3D Discrete Duality Finite Volume Scheme. Application to ECG simulation
... as the P 1 method on the following refined mesh counting four times more ...mesh the methods have different number of degrees of freedom (DOF): in dimension 2 the DDFV scheme has three ... Voir le document complet
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A 3D DISCRETE DUALITY FINITE VOLUME METHOD FOR NONLINEAR ELLIPTIC EQUATIONS
... Our 3D generalization of the DDFV approach is based on the idea that three finite differences in independent directions are needed to construct a ...gradient. The diamond mesh ... Voir le document complet
11
A 3D DISCRETE DUALITY FINITE VOLUME METHOD FOR NONLINEAR ELLIPTIC EQUATIONS
... NONLINEAR ELLIPTIC EQUATIONS YVES COUDI` ERE † AND FLORENCE HUBERT ‡ ...Abstract. Discrete Duality Finite Volume (DDFV) schemes have recently been developed in 2D ... Voir le document complet
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Monotone corrections for generic cell-centered Finite Volume approximations of anisotropic diffusion equations
... principle for distorted meshes or with high anisotropy ratio [12, 19]. That is the reason why the question of constructing numerical methods for (1) ensuring the approximate solution ... Voir le document complet
29
Effcient numerical methods for strongly anisotropic elliptic equations
... preserving scheme was introduced in [ 10 ...] for the study of multiscale kinetic equations. The main idea of AP-schemes derivation rely on a reformulation of the sin- gular ... Voir le document complet
37
Benchmark 3D: CeVe-DDFV, a discrete duality scheme with cell/vertex unknowns.
... Comments The linear system (8) to be solved is symmetric and positive: a Conjugate Gradient algorithm has been applied, together with a basic Jacobi ...preconditioner. The spar- sity pattern of ... Voir le document complet
11
Hypocoercivity and diffusion limit of a finite volume scheme for linear kinetic equations
... of the paper. The outline of this article is as ...present the results in the continuous ...are the key point to study both the diffusive limit and the exponential ... Voir le document complet
40
Discrete maximum principle and the Ultraviolet Catastrophe of finite difference schemes on staggered Cartesian grids for heterogeneous and anisotropic diffusion equations
... Typically, to treat this kind of second order problems, one can use the finite element method because, especially in the case of anisotropic and het- erogeneous diffusion, this approach ... Voir le document complet
138
A finite volume scheme for convection-diffusion equations with nonlinear diffusion derived from the Scharfetter-Gummel scheme
... 1. H.W. Alt, S. Luckhaus, and A. Visintin. On nonstationary flow through porous media. Annali di Matematica Pura ed Applicata, 136(1):303–316, 1984. 2. F. Arimburgo, C. Baiocchi, and L.D. Marini. Numerical approximation ... Voir le document complet
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A "well-balanced" finite volume scheme for blood flow simulation
... Thanks to recent developments in the analysis of hy- perbolic system of conservation laws (in the Saint-Venant/ shallow water equations context) we will perform a simple finite ... Voir le document complet
37
Solving the Fully Coupled Heart and Torso Problems of ElectroCardiology with a 3D Discrete Duality Finite Volume Method
... While the bi-domain equation provide a large scale model of the structure of the heart muscle, it furthermore needs a microscopic de- scription for cardiac muscular-cells membrane, providing a ... Voir le document complet
35
Strong maximum principles for anisotropic elliptic and parabolic equations
... principles for anisotropic equations of the type ...on the whole set K. As is well known (see, for instance, Protter– Weinberger [41]), in case of the standard harmonic ... Voir le document complet
13
A high-order finite volume cell-centered scheme for anisotropic diffusion on two-dimensional unstructured grids
... is to assess the robustness and the accuracy of CCLAD scheme against analytical test cases using various types of triangular, quadrangular and polygonal ...CCLAD scheme, that is ... Voir le document complet
63
A New Finite Volume Scheme for Solving Maxwell System
... 101 - 54602 Villers lès Nancy Cedex France Unité de recherche INRIA Rennes : IRISA, Campus universitaire de Beaulieu - 35042 Rennes Cedex France Unité de recherche INRIA Rhône-Alpes : 65[r] ... Voir le document complet
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Multidimensional corrections to cell-centered finite volume methods for Maxwell equations
... Maxwell equations is a conservative system of hyperbolic equations, the finite volume methods are (with conservative finite difference methods) appropriate ...in the case ... Voir le document complet
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A variational finite volume scheme for Wasserstein gradient flows
... finite volume scheme to approximate the solutions to Wasserstein gradient ...flows. The time discretization is based on an implicit linearization of the Wasserstein distance ... Voir le document complet
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A finite-volume scheme for a kidney nephron model
... them to consider lower values of the water permeability L P . To avoid numerical instabilities arising from reversal of flow, new dynamic numerical methods were implemented, invoving computation of ... Voir le document complet
7
A variational finite volume scheme for Wasserstein gradient flows
... variational finite volume scheme to approximate the solutions to Wasserstein gradient ...flows. The time discretization is based on an implicit linearization of the ... Voir le document complet
38
A Roe finite-volume scheme for 1D shallow water flows : wetting and drying simulation
... volume s hemes to ompute euler equations using real gas eos. International Journal For Numeri al Methods In Fluids, 39 :10731138, 2002. [4℄ Thierry BUFFARD, Thierry GALLOUET, and Jean-Mar ... Voir le document complet
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