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Computational Science and Its Applications – ICCSA 2014
Ricardo Costa, Stéphane Clain and Gaspar José Machado Lecture Notes in Computer Science, Computational Science and Its Applications – ICCSA 2014 8579 87 (2014) https://doi.org/10.1007/978-3-319-09144-0_7
New cell–vertex reconstruction for finite volume scheme: Application to the convection–diffusion–reaction equation
Finite Volumes for Complex Applications VII-Methods and Theoretical Aspects
C. Berthon, G. Moebs and R. Turpault Springer Proceedings in Mathematics & Statistics, Finite Volumes for Complex Applications VII-Methods and Theoretical Aspects 77 107 (2014) https://doi.org/10.1007/978-3-319-05684-5_9
A Family of Finite Volume Schemes of Arbitrary Order on Rectangular Meshes
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Angela Handlovičová and Peter Frolkovič Springer Proceedings in Mathematics & Statistics, Finite Volumes for Complex Applications VII-Methods and Theoretical Aspects 77 333 (2014) https://doi.org/10.1007/978-3-319-05684-5_32
Finite Volumes for Complex Applications VII-Methods and Theoretical Aspects
Christophe Le Potier Springer Proceedings in Mathematics & Statistics, Finite Volumes for Complex Applications VII-Methods and Theoretical Aspects 77 439 (2014) https://doi.org/10.1007/978-3-319-05684-5_43
A class of finite volume schemes of arbitrary order on nonuniform meshes
Qinghui Zhang and Qingsong Zou Numerical Methods for Partial Differential Equations 30(5) 1614 (2014) https://doi.org/10.1002/num.21853
Finite Volumes for Complex Applications VII-Elliptic, Parabolic and Hyperbolic Problems
Niklas Hartung and Florence Hubert Springer Proceedings in Mathematics & Statistics, Finite Volumes for Complex Applications VII-Elliptic, Parabolic and Hyperbolic Problems 78 637 (2014) https://doi.org/10.1007/978-3-319-05591-6_63
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
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
Error estimate for a 1D–2D finite volume scheme. Comparison with a standard scheme on a 2D non-admissible mesh
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
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
Analysis on general meshes of a discrete duality finite volume method for subsurface flow problems
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
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
A nine-point scheme with explicit weights for diffusion equations on distorted meshes
Finite Volumes for Complex Applications VI Problems & Perspectives
Robert Eymard and Raphaèle Herbin Springer Proceedings in Mathematics, Finite Volumes for Complex Applications VI Problems & Perspectives 4 439 (2011) https://doi.org/10.1007/978-3-642-20671-9_46
Finite Volumes for Complex Applications VI Problems & Perspectives
Nancy Chalhoub, Alexandre Ern, Tony Sayah and Martin Vohralı́k Springer Proceedings in Mathematics, Finite Volumes for Complex Applications VI Problems & Perspectives 4 215 (2011) https://doi.org/10.1007/978-3-642-20671-9_23
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
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
On the second-order convergence of a function reconstructed from finite volume approximations of the Laplace equation on Delaunay-Voronoi meshes
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 and Charles Pierre Springer Proceedings in Mathematics, Finite Volumes for Complex Applications VI Problems & Perspectives 4 1043 (2011) https://doi.org/10.1007/978-3-642-20671-9_102
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Yves Coudière, Florence Hubert and Gianmarco Manzini Springer Proceedings in Mathematics, Finite Volumes for Complex Applications VI Problems & Perspectives 4 977 (2011) https://doi.org/10.1007/978-3-642-20671-9_95
Stabilized DDFV schemes for stokes problem with variable viscosity on general 2D meshes
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
Construction and Convergence Study of Schemes Preserving the Elliptic Local Maximum Principle
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 finite volume method for advection–diffusion problems in convection-dominated regimes
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
Flux reconstruction and solution post-processing in mimetic finite difference methods