1548 lines
48 KiB
BibTeX
1548 lines
48 KiB
BibTeX
@inproceedings{Bastian2003,
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author = {Bastian, P.},
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title = {Higher Order Discontinuous Galerkin Methods for Flow and Transport in Porous Media},
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booktitle = {Challenges in Scientific Computing - CISC 2002},
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editor = {Bänsch, Eberhard},
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publisher = {Springer Berlin Heidelberg},
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pages = {1-22},
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year = {2003},
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ISBN = {978-3-642-19014-8},
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type = {Conference Proceedings}
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}
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@MISC{wjm2005,
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note = {J. Wu, Linearly exact method and the difference scheme for diffusion equation
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on quadrilateral meshes, 计算物理实验室年报, (2005) 156--169},
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key = {Wu},
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owner = {Administrator},
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timestamp = {2010.06.10}
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}
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@article{EMPFA2008,
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author = {Chen, Q. Y. and Wan, J. and Yang, Y. and Mifflin, R. T.},
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year = {2008}
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}
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@article{Wu2012,
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author = {Wu, J. M. and Gao, Z. M. and Dai, Z. H.},
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title = {A stabilized linearity-preserving scheme for the heterogeneous and anisotropic diffusion problems on polygonal meshes},
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journal = {{J. Comput. Phys.}},
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volume = {231},
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pages = {7152-7169},
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year = {2012}
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}
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@article{Luo2023,
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author = {Luo, L. S. and Dong, C.},
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title = {A linearity-preserving diamond scheme with extended least square interpolation for the heterogeneous and anisotropic diffusion problems on polyhedral meshes},
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journal = {{Comput. Math. Appl.}},
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volume = {144},
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pages = {182-197},
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year = {2023}
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}
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@article{Lai2017,
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author = {Lai, X. and Sheng, Z. Q. and Yuan, G. W.},
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title = {Monotone Finite Volume Scheme for Three Dimensional Diffusion Equation on Tetrahedral Meshes},
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journal = {{Commun. Comput. Phys.}},
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volume = {21},
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number = {1},
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pages = {162-181},
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year = {2017}
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}
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@article{Lipnikov2010,
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author = {Lipnikov, K. and Svyatskiy, D. and Vassilevski, Y.},
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}
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@article{Lipnikov2009,
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author = {Lipnikov, K. and Svyatskiy, D. and Vassilevski, Y.},
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title = {Interpolation-free monotone finite volume method for diffusion equations on polygonal meshes},
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volume = {228},
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number = {3},
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pages = {703-716},
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year = {2009}
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}
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@article{Luo2017a,
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author = {Luo, L. S. and Gao, Z. M. and Wu, J. M.},
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title = {A cell edge-based linearity-preserving scheme for diffusion problems on two-dimensional unstructured grids},
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journal = {{Math. Meth. Appl. Sci.}},
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volume = {40},
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number = {15},
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pages = {5423-5436},
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year = {2017}
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}
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@article{Aavatsmark2002,
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author = {Aavatsmark, I.},
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title = {An introduction to multipoint flux approximations for quadrilateral grids},
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}
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@article{Liu2019,
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author = {Liu, Q. K. and Mo, Z. Y. and Zhang, A. Q. and Yang, Z.},
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title = {JAUMIN: a programming framework for large-scale numerical simulation on unstructured meshes},
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year = {2019}
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}
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@article{Su2019,
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author = {Su, S. and Dong, Q. N. and Wu, J. M.},
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title = {A vertex-centered and positivity-preserving scheme for anisotropic diffusion equations on general polyhedral meshes},
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journal = {{Math. Meth. Appl. Sci.}},
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volume = {42},
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number = {1},
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pages = {59-84},
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year = {2019}
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}
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@article{Dong2020,
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author = {Dong, Q. N. and Wu, J. M. and Su, S.},
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title = {Relationship between the vertex-centered linearity-preserving scheme and the lowest-order virtual element method for diffusion problems on star-shaped polygons},
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journal = {{Comput. Math. Appl.}},
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volume = {79},
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number = {11},
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pages = {3117-3138},
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}
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@article{Wu2016,
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author = {Wu, J. M. and Gao, Z. M. and Dai, Z. H.},
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title = {A vertex-centered linearity-preserving discretization of diffusion problems on polygonal meshes},
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journal = {{Int. J. Numer. Methods Fluids}},
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volume = {81},
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year = {2016}
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}
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author = {Li, Y. H. and Li, R. H.},
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author = {Bank, R. E. and Rose, D. J.},
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author = {Shashkov, M. and Steinberg, S.},
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title = {THE CELL FUNCTIONAL MINIMIZATION SCHEME FOR THE ANISOTROPIC DIFFUSION PROBLEMS ON ARBITRARY POLYGONAL GRIDS},
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journal = {{ESAIM-Math. Model. Numer. Anal.-Model. Math. Anal. Numer.}},
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@article{Yin2014,
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author = {Yin, L. and Wu, J. M. and Yao, Y. Z.},
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title = {A cell functional minimization scheme for domain decomposition method on non-orthogonal and non-matching meshes},
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@inproceedings{Bastian2003,
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author = {Bastian, P.},
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title = {Higher Order Discontinuous Galerkin Methods for Flow and Transport in Porous Media},
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booktitle = {Challenges in Scientific Computing - CISC 2002},
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editor = {Bänsch, Eberhard},
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publisher = {Springer Berlin Heidelberg},
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pages = {1-22},
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year = {2003},
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@article{Chen2021,
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author = {Chen, H. X. and Sun, S. Y.},
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title = {A new physics-preserving IMPES scheme for incompressible and immiscible two-phase flow in heterogeneous porous media},
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journal = {{J. Comput. Appl. Math.}},
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% ,
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% from Elsevier
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% from Elsevier
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% from Elsevier
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title = {{TRHD}: Three-temperature radiation-hydrodynamics code with an implicit non-equilibrium radiation transport using a cell-centered monotonic finite volume scheme on unstructured-grids},
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pages = {98-119},
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year = {2015}
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}
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author = {Ding, N. and Zhang, Y. and Xiao, D. L. and Wu, J. M. and Dai, Z. H. and Yin, L. and Gao, Z. M. and Sun, S. K. and Xue, C. and Ning, C. and Shu, X. J. and Wang, J. G.},
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title = {Theoretical and numerical research of wire array Z-pinch and dynamic hohlraum at IAPCM},
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journal = {{Matter Radiat. Extrem.}},
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volume = {1},
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number = {3},
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pages = {135-152},
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year = {2016}
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}
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@article{Hou1994,
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author = {Hou, T. Y. and Lefloch, P. G.},
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title = {WHY NONCONSERVATIVE SCHEMES CONVERGE TO WRONG SOLUTIONS - ERROR ANALYSIS},
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volume = {62},
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}
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@article{Lax-Wendroff1960,
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author = {Lax, P. and Wendroff, B.},
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title = {SYSTEMS OF CONSERVATION LAWS},
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number = {2},
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pages = {217-237},
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year = {1960}
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}
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@article{Babuska1992,
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author = {Babuska, I. and Suri, M.},
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title = {ON LOCKING AND ROBUSTNESS IN THE FINITE-ELEMENT METHOD},
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journal = {{SIAM J. Numer. Anal.}},
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volume = {29},
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number = {5},
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pages = {1261-1293},
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year = {1992}
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}
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@article{Manzini2007,
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|
author = {Manzini, G. and Putti, M.},
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title = {Mesh locking effects in the finite volume solution of 2-D anisotropic diffusion equations},
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journal = {{J. Comput. Phys.}},
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volume = {220},
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number = {2},
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|
pages = {751-771},
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year = {2007}
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}
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@book{Bear2013,
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|
author = {Bear, J.},
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|
title = {Dynamics of Fluids in Porous Media},
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|
publisher = {Dover Publications},
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|
year = {2013},
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type = {Book}
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}
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|
@article{Lindl1995,
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|
author = {Lindl, J.},
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|
title = {DEVELOPMENT OF THE INDIRECT-DRIVE APPROACH TO INERTIAL CONFINEMENT FUSION AND THE TARGET PHYSICS BASIS FOR IGNITION AND GAIN},
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pages = {3933-4024},
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|
year = {1995}
|
|
}
|
|
|
|
|
|
% from springer
|
|
@InProceedings{FVCA6,
|
|
author="Eymard, Robert
|
|
and Henry, G{\'e}rard
|
|
and Herbin, Rapha{\`e}le
|
|
and Hubert, Florence
|
|
and Kl{\"o}fkorn, Robert
|
|
and Manzini, Gianmarco",
|
|
editor="Fo{\v{r}}t, Jaroslav
|
|
and F{\"u}rst, Ji{\v{r}}{\'i}
|
|
and Halama, Jan
|
|
and Herbin, Rapha{\`e}le
|
|
and Hubert, Florence",
|
|
title={{3D Benchmark on Discretization Schemes for Anisotropic Diffusion Problems on General Grids}},
|
|
booktitle="Finite Volumes for Complex Applications VI Problems {\&} Perspectives",
|
|
year="2011",
|
|
publisher="Springer Berlin Heidelberg",
|
|
address="Berlin, Heidelberg",
|
|
pages="895--930",
|
|
isbn="978-3-642-20671-9"
|
|
}
|
|
|
|
|
|
% from old bib file
|
|
@inproceedings{FVCA5,
|
|
author={R. Herbin and F. Hubert},
|
|
title={Benchmark on Discretization Schemes for Anisotropic Diffusion Problems on
|
|
General Grids},
|
|
booktitle={Finite Volumes for Complex Applications V - Problems and Perspectives},
|
|
year={2008},
|
|
publisher={Wiley press},
|
|
editor={Robert Eymard and Jean-Marc Herard},
|
|
pages={659-692}
|
|
}
|
|
|
|
% from Elsevier
|
|
@incollection{Handbook2000,
|
|
title = {Finite volume methods},
|
|
booktitle = {Handbook of Numerical Analysis},
|
|
publisher = {Elsevier},
|
|
volume = {7},
|
|
pages = {713-1018},
|
|
year = {2000},
|
|
issn = {1570-8659},
|
|
author = {Robert Eymard and Thierry Gallouët and Raphaèle Herbin}
|
|
}
|
|
|
|
|
|
|
|
% vim:ts=4:sw=4
|