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Discrete duality

The Discrete Duality Finite Volume method for the Stokes equations on 3-D polyhedral meshes

The Discrete Duality Finite Volume method for the Stokes equations on 3-D polyhedral meshes

... Keywords: Discrete duality finite volume method, 3-D Stokes equations, variable viscosity. 1 Introduction The numerical approximation of the steady Stokes problem with variable viscosity requires the dis- ...

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A 2D/3D Discrete Duality Finite Volume Scheme. Application to ECG simulation

A 2D/3D Discrete Duality Finite Volume Scheme. Application to ECG simulation

... some discrete divergence and gradient ...a discrete duality relationship that mimics the Green formula, thus motivating the name Discrete Duality Finite Volume ...

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Study of discrete duality finite volume schemes for the Peaceman model

Study of discrete duality finite volume schemes for the Peaceman model

... of discrete gradients on a diamond mesh, as in the work by Coudi`ere, Vila and Villedieu ...fundamental duality property between discrete gradient and discrete ...the discrete operators ...

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Inf-Sup Stability of the Discrete Duality Finite Volume method for the 2D Stokes problem

Inf-Sup Stability of the Discrete Duality Finite Volume method for the 2D Stokes problem

... “Discrete Duality Finite Volume” schemes (DDFV for short) on general 2D meshes, in particular non conforming ones, are studied for the Stokes problem with Dirichlet boundary ...

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Benchmark 3D: CeVe-DDFV, a discrete duality scheme with cell/vertex unknowns.

Benchmark 3D: CeVe-DDFV, a discrete duality scheme with cell/vertex unknowns.

... the discrete gradient. They also induce comparable discrete duality ...these duality prop- erties in [15] and in [2] it turns out that they do involve exactly the same stiffness and mass ...

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A nonlinear Discrete Duality Finite Volume Scheme for convection-diffusion equations

A nonlinear Discrete Duality Finite Volume Scheme for convection-diffusion equations

... Acknowledgements The authors are supported by the Inria teams RAPSODI and COFFEE, the LabEx CEMPI (ANR-11-LABX-0007-01) and the GEOPOR project (ANR-13-JS01-0007-01). References 1. Andreianov, B., Bendahmane, M., Karlsen, ...

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A posteriori error estimation for the discrete duality finite volume discretization of the Laplace equation

A posteriori error estimation for the discrete duality finite volume discretization of the Laplace equation

... DUALITY FINITE VOLUME DISCRETIZATION OF THE LAPLACE EQUATION PASCAL OMNES † ‡ , YOHAN PENEL † ‡ , AND YANN ROSENBAUM † ‡ ...the discrete duality finite volume discretization of the Laplace equation ...

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Optimized Schwarz Methods for Anisotropic Diffusion with Discrete Duality Finite Volume Discretizations

Optimized Schwarz Methods for Anisotropic Diffusion with Discrete Duality Finite Volume Discretizations

... and discrete duality finite volume (DDFV) meth- ods have this property, even in the case of discontinuous anisotropic diffusion, see [17, 4, 5] and references ...or discrete variational derivative ...

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On 3D DDFV discretization of gradient and divergence operators. I. Meshing, operators and discrete duality.

On 3D DDFV discretization of gradient and divergence operators. I. Meshing, operators and discrete duality.

... of duality features was conducted for this method and, except in some particular situations, the discrete duality ...the discrete duality property, see [ 47 , ...

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Benchmark 3D: CeVeFE-DDFV, a discrete duality scheme with cell/vertex/face+edge unknowns

Benchmark 3D: CeVeFE-DDFV, a discrete duality scheme with cell/vertex/face+edge unknowns

... 1 Presentation of the scheme The method that we investigate in this contribution was proposed by Y. Coudi`ere and F. Hubert in [1] as a three-dimensional (3D) extension of the finite volume scheme previously studied by ...

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A 3D DISCRETE DUALITY FINITE VOLUME METHOD FOR NONLINEAR ELLIPTIC EQUATIONS

A 3D DISCRETE DUALITY FINITE VOLUME METHOD FOR NONLINEAR ELLIPTIC EQUATIONS

... Abstract. Discrete Duality Finite Volume (DDFV) schemes have recently been developed in 2D to approximate nonlinear diffusion problems on general ...

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The Discrete Duality Finite Volume Method for Convection Diffusion Problems

The Discrete Duality Finite Volume Method for Convection Diffusion Problems

... Key words. Convection-diffusion equation, discrete duality finite volume method, polynomial recon- struction, diamond scheme, unstructured meshes, polygonal meshes. AMS subject classifications. 35J05, ...

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Discrete Optimization of Robin Transmission Conditions for Anisotropic Diffusion with Discrete Duality Finite Volume Methods

Discrete Optimization of Robin Transmission Conditions for Anisotropic Diffusion with Discrete Duality Finite Volume Methods

... 5 Conclusion Discrete Duality Finite Volume methods (DDFV) are a recent class of powerful discretizations for anisotropic diffusion problems. They reach high accuracy also on distorted meshes and for high ...

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2D/3D Discrete Duality Finite Volume (DDFV) scheme for anisotropic- heterogeneous elliptic equations, application to the electrocardiogram simulation.

2D/3D Discrete Duality Finite Volume (DDFV) scheme for anisotropic- heterogeneous elliptic equations, application to the electrocardiogram simulation.

... [CLE 04] C LEMENTS J., N ENONEN J., H ORACEK M., « Activation Dynamics in Anisotropic Cardiac Tissue via Decoupling », Annals of Biomed. Eng., vol. 32, n o 7, 2004, p. 984-990. [DEL 07] D ELCOURTE S., D OMELEVO K., O ...

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A 3D DISCRETE DUALITY FINITE VOLUME METHOD FOR NONLINEAR ELLIPTIC EQUATIONS

A 3D DISCRETE DUALITY FINITE VOLUME METHOD FOR NONLINEAR ELLIPTIC EQUATIONS

... 3D DISCRETE DUALITY FINITE VOLUME METHOD FOR NONLINEAR ELLIPTIC EQUATIONS ∗ YVES COUDI` ERE † AND FLORENCE HUBERT ‡ ...Abstract. Discrete Duality Finite Volume (DDFV) schemes have recently ...

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Numerical analysis of a nonlinear free-energy diminishing Discrete Duality Finite Volume scheme for convection diffusion equations

Numerical analysis of a nonlinear free-energy diminishing Discrete Duality Finite Volume scheme for convection diffusion equations

... nonlinear Discrete Duality Finite Volume scheme to approximate the solutions of drift diffusion ...the discrete level even on severely distorted meshes the energy / energy dissipation ...

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Solving the Fully Coupled Heart and Torso Problems of ElectroCardiology with a 3D Discrete Duality Finite Volume Method

Solving the Fully Coupled Heart and Torso Problems of ElectroCardiology with a 3D Discrete Duality Finite Volume Method

... The bi-domain equations model the heart as a continuum, despite its discrete structure. We refer to [7] for a mathematical derivation of the bi-domain equations, and to [13, 17] for reviews on the bi-domain ...

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A Duality for Boolean Contact Algebras

A Duality for Boolean Contact Algebras

... one easily recovers de Vries duality. However, in general, a clan may be contained in several clusters. We then define a morphism from clust(B 0 ) to clust(B) to be a map N from clust(B 0 ) to clan(RC(clust(B))), ...

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A new duality approach to elasticity

A new duality approach to elasticity

... The displacement-traction problem of three-dimensional linearized elasticity can be posed as three different minimization problems, depending on whether the displacement vector field, or the stress tensor field, or the ...

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Robustness and duality in linear programming

Robustness and duality in linear programming

... Abstract In this article, we consider a linear program in which the right hand sides of the constraints are uncertain and inaccurate. This uncertainty is rep- resented by intervals, that is to say that each right hand ...

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