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Study of Discrete Duality Finite Volume Schemes for the Peaceman Model
C. Chainais-Hillairet, S. Krell and A. Mouton SIAM Journal on Scientific Computing 35(6) A2928 (2013) https://doi.org/10.1137/130910555
A sixth-order finite volume method for multidomain convection–diffusion problem with discontinuous coefficients
S. Clain, G.J. Machado, J.M. Nóbrega and R.M.S. Pereira Computer Methods in Applied Mechanics and Engineering 267 43 (2013) https://doi.org/10.1016/j.cma.2013.08.003
Some recent advances on vertex centered finite volume element methods for elliptic equations
Error estimate in a finite volume approximation of the partial asymptotic domain decomposition
Grigory Panasenko and Marie‐Claude Viallon Mathematical Methods in the Applied Sciences 36(14) 1892 (2013) https://doi.org/10.1002/mma.2735
GRADIENT SCHEMES: A GENERIC FRAMEWORK FOR THE DISCRETISATION OF LINEAR, NONLINEAR AND NONLOCAL ELLIPTIC AND PARABOLIC EQUATIONS
JEROME DRONIOU, ROBERT EYMARD, THIERRY GALLOUET and RAPHAELE HERBIN Mathematical Models and Methods in Applied Sciences 23(13) 2395 (2013) https://doi.org/10.1142/S0218202513500358
The Elastoplast Discontinuous Galerkin (EDG) method for the Navier–Stokes equations
A monotone finite volume scheme for advection–diffusion equations on distorted meshes
Shuai Wang, Guangwei Yuan, Yonghai Li and Zhiqiang Sheng International Journal for Numerical Methods in Fluids 69(7) 1283 (2012) https://doi.org/10.1002/fld.2640
Upwind-Difference Potentials Method for Patlak-Keller-Segel Chemotaxis Model
Small-stencil 3D schemes for diffusive flows in porous media
Robert Eymard, Cindy Guichard and Raphaèle Herbin ESAIM: Mathematical Modelling and Numerical Analysis 46(2) 265 (2012) https://doi.org/10.1051/m2an/2011040
Finite Volumes for Complex Applications VI Problems & Perspectives
Boris Andreianov, Florence Hubert and Stella Krell Springer Proceedings in Mathematics, Finite Volumes for Complex Applications VI Problems & Perspectives 4 937 (2011) https://doi.org/10.1007/978-3-642-20671-9_91
Finite Volumes for Complex Applications VI Problems & Perspectives
Yves Coudière, Florence Hubert and Gianmarco Manzini Springer Proceedings in Mathematics, Finite Volumes for Complex Applications VI Problems & Perspectives 4 283 (2011) https://doi.org/10.1007/978-3-642-20671-9_30
Convergence of discrete duality finite volume schemes for the cardiac bidomain model
Boris Andreianov, Mostafa Bendahmane, Kenneth H. Karlsen and Charles Pierre Networks & Heterogeneous Media 6(2) 195 (2011) https://doi.org/10.3934/nhm.2011.6.195
Finite Volumes for Complex Applications VI Problems & Perspectives
Finite Volumes for Complex Applications VI Problems & Perspectives
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Finite Volumes for Complex Applications VI Problems & Perspectives
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Finite Volumes for Complex Applications VI Problems & Perspectives
Benjamin Martin and Frédéric Pascal Springer Proceedings in Mathematics, Finite Volumes for Complex Applications VI Problems & Perspectives 4 663 (2011) https://doi.org/10.1007/978-3-642-20671-9_70
A 3D Discrete Duality Finite Volume Method for Nonlinear Elliptic Equations
Finite Volumes for Complex Applications VI Problems & Perspectives
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Finite Volumes for Complex Applications VI Problems & Perspectives
Christophe Berthon, Yves Coudière and Vivien Desveaux Springer Proceedings in Mathematics, Finite Volumes for Complex Applications VI Problems & Perspectives 4 117 (2011) https://doi.org/10.1007/978-3-642-20671-9_13
On the second-order convergence of a function reconstructed from finite volume approximations of the Laplace equation on Delaunay-Voronoi meshes
Domain Decomposition Methods in Science and Engineering XVII
Franck Boyer and Florence Hubert Lecture Notes in Computational Science and Engineering, Domain Decomposition Methods in Science and Engineering XVII 60 443 (2008) https://doi.org/10.1007/978-3-540-75199-1_56
Residual flux-based a posteriori error estimates for finite volume and related locally conservative methods
An a posteriori error estimator for the mimetic finite difference approximation of elliptic problems
Lourenço Beirão da Veiga and Gianmarco Manzini International Journal for Numerical Methods in Engineering 76(11) 1696 (2008) https://doi.org/10.1002/nme.2377
A non-conforming finite volume element method of weighted upstream type for the two-dimensional stationary Navier–Stokes system