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Discrete duality finite volume method with tangential redistribution of points for surfaces evolving by mean curvature

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ESAIM: Mathematical Modelling and Numerical Analysis 53 (6) 1797 (2019)
DOI: 10.1051/m2an/2019040
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Finite volumes and mixed Petrov-Galerkin finite elements: The unidimensional problem

Fran�ois Dubois
Numerical Methods for Partial Differential Equations 16 (3) 335 (2000)
DOI: 10.1002/(SICI)1098-2426(200005)16:3<335::AID-NUM5>3.0.CO;2-X
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A vertex‐centered and positivity‐preserving scheme for anisotropic diffusion equations on general polyhedral meshes

Shuai Su, Qiannan Dong and Jiming Wu
Mathematical Methods in the Applied Sciences 42 (1) 59 (2019)
DOI: 10.1002/mma.5324
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Discrete duality finite volume schemes for Leray−Lions−type elliptic problems on general 2D meshes

Boris Andreianov, Franck Boyer and Florence Hubert
Numerical Methods for Partial Differential Equations 23 (1) 145 (2007)
DOI: 10.1002/num.20170
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A combined finite volume–nonconforming/mixed-hybrid finite element scheme for degenerate parabolic problems

Robert Eymard, Danielle Hilhorst and Martin Vohralík
Numerische Mathematik 105 (1) 73 (2006)
DOI: 10.1007/s00211-006-0036-z
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Discrete duality finite volume schemes for two-dimensional drift-diffusion and energy-transport models

C. Chainais-Hillairet
International Journal for Numerical Methods in Fluids 59 (3) 239 (2009)
DOI: 10.1002/fld.1393
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Residual flux-based a posteriori error estimates for finite volume and related locally conservative methods

Martin Vohralík
Numerische Mathematik 111 (1) 121 (2008)
DOI: 10.1007/s00211-008-0168-4
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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)
DOI: 10.1007/978-3-540-75199-1_56
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Numerical modeling of subsidence in saturated porous media: A mass conservative method

Roza Asadi and Behzad Ataie-Ashtiani
Journal of Hydrology 542 423 (2016)
DOI: 10.1016/j.jhydrol.2016.09.024
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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)
DOI: 10.1007/978-3-642-20671-9_9
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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)
DOI: 10.1007/978-3-642-20671-9_102
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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)
DOI: 10.1007/978-3-642-20671-9_96
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The LS-STAG immersed boundary/cut-cell method for non-Newtonian flows in 3D extruded geometries

F. Nikfarjam, Y. Cheny and O. Botella
Computer Physics Communications 226 67 (2018)
DOI: 10.1016/j.cpc.2018.01.006
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A positivity-preserving nonlinear finite volume scheme for radionuclide transport calculations in geological radioactive waste repository

Gang Peng, Zhiming Gao, Wenjing Yan and Xinlong Feng
International Journal of Numerical Methods for Heat & Fluid Flow 30 (2) 516 (2019)
DOI: 10.1108/HFF-04-2019-0327
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A novel cell-centered finite volume scheme with positivity-preserving property for the anisotropic diffusion problems on general polyhedral meshes

Gang Peng, Zhiming Gao and Xinlong Feng
Applied Mathematics Letters 104 106252 (2020)
DOI: 10.1016/j.aml.2020.106252
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Analysis of the decoupled and positivity-preserving DDFV schemes for diffusion problems on polygonal meshes

Qiannan Dong, Shuai Su and Jiming Wu
Advances in Computational Mathematics 46 (2) (2020)
DOI: 10.1007/s10444-020-09748-4
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Accurate discretization of diffusion in the LS-STAG cut-cell method using diamond cell techniques

B. Portelenelle, O. Botella and Y. Cheny
Computers & Fluids 189 34 (2019)
DOI: 10.1016/j.compfluid.2019.05.005
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Raviart–Thomas finite elements of Petrov–Galerkin type

Francois Dubois, Isabelle Greff and Charles Pierre
ESAIM: Mathematical Modelling and Numerical Analysis 53 (5) 1553 (2019)
DOI: 10.1051/m2an/2019020
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Finite Volumes for Complex Applications IX - Methods, Theoretical Aspects, Examples

Thierry Goudon, Stella Krell and Giulia Lissoni
Springer Proceedings in Mathematics & Statistics, Finite Volumes for Complex Applications IX - Methods, Theoretical Aspects, Examples 323 335 (2020)
DOI: 10.1007/978-3-030-43651-3_30
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