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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 reconstruction algorithm with flexible stencils for anisotropic diffusion equations on 2D skewed meshes
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
A new conservative numerical scheme for flow problems on unstructured grids and unbounded domains
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
A small stencil and extremum-preserving scheme for anisotropic diffusion problems on arbitrary 2D and 3D meshes
The Finite Volume Formulation for 2D Second‐Order EllipticProblems with Discontinuous Diffusion/Dispersion Coefficients
Stefano Ferraris, Ivan Bevilacqua, Davide Canone, Davide Pognant, Maurizio Previati and Moran Wang Mathematical Problems in Engineering 2012(1) (2012) https://doi.org/10.1155/2012/187634
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
Upwind-Difference Potentials Method for Patlak-Keller-Segel Chemotaxis Model
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 Gianmarco Manzini Springer Proceedings in Mathematics, Finite Volumes for Complex Applications VI Problems & Perspectives 4 985 (2011) https://doi.org/10.1007/978-3-642-20671-9_96
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
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
A nine-point scheme with explicit weights for diffusion equations on distorted meshes
Finite Volumes for Complex Applications VI Problems & Perspectives
Fayssal Benkhaldoun, Amadou Mahamane and Mohammed Seaïd Springer Proceedings in Mathematics, Finite Volumes for Complex Applications VI Problems & Perspectives 4 79 (2011) https://doi.org/10.1007/978-3-642-20671-9_9
Stabilized DDFV schemes for stokes problem with variable viscosity on general 2D meshes
Scale Space and Variational Methods in Computer Vision
Olga Drblíková, Karol Mikula and Nadine Peyriéras Lecture Notes in Computer Science, Scale Space and Variational Methods in Computer Vision 5567 63 (2009) https://doi.org/10.1007/978-3-642-02256-2_6
Convergence Analysis of the Mimetic Finite Difference Method for Elliptic Problems
Andrea Cangiani, Gianmarco Manzini and Alessandro Russo SIAM Journal on Numerical Analysis 47(4) 2612 (2009) https://doi.org/10.1137/080717560
Error estimates of the finite volume scheme for the nonlinear tensor-driven anisotropic diffusion
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
Finite Volume Method for 2D Linear and Nonlinear Elliptic Problems with Discontinuities
ERROR ESTIMATION AND ADAPTIVITY FOR FINITE-VOLUME METHODS ON UNSTRUCTURED TRIANGULAR MESHES: ELLIPTIC HEAT TRANSFER PROBLEMS
Marcio A. Martins, Ramón M. Valle, Leandro S. Oliveira and Denise Burgarelli Numerical Heat Transfer, Part B: Fundamentals 42(5) 461 (2002) https://doi.org/10.1080/10407790190054030
Convergence of finite volume schemes for a degenerate convection–diffusion equation arising in flow in porous media
Convergence rate of a finite volume scheme for the linear convection-diffusion equation on locally refined meshes
Yves Coudière and Philippe Villedieu ESAIM: Mathematical Modelling and Numerical Analysis 34(6) 1123 (2000) https://doi.org/10.1051/m2an:2000120
Solution of Equation in ℝn (Part 3), Techniques of Scientific Computing (Part 3)
Robert Eymard, Thierry Gallouët and Raphaèle Herbin Handbook of Numerical Analysis, Solution of Equation in ℝn (Part 3), Techniques of Scientific Computing (Part 3) 7 713 (2000) https://doi.org/10.1016/S1570-8659(00)07005-8
Error Estimates on the Approximate Finite Volume Solution of Convection Diffusion Equations with General Boundary Conditions