High-order mimetic finite difference method for diffusion problems on polygonal meshes

Journal of Computational Physics ◽

10.1016/j.jcp.2008.06.028 ◽

2008 ◽

Vol 227 (20) ◽

pp. 8841-8854 ◽

Author(s):

Vitaliy Gyrya ◽

Konstantin Lipnikov

Keyword(s):

Finite Difference ◽

Finite Difference Method ◽

Difference Method ◽

Polygonal Meshes ◽

Mimetic Finite Difference Method ◽

Diffusion Problems

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The High-Order Mixed Mimetic Finite Difference Method for Time-Dependent Diffusion Problems

Journal of Scientific Computing ◽

10.1007/s10915-019-01002-4 ◽

2019 ◽

Vol 80 (3) ◽

pp. 1805-1830

Author(s):

Gianmarco Manzini ◽

Gianluca Maguolo ◽

Mario Putti

Keyword(s):

Finite Difference ◽

Finite Difference Method ◽

Difference Method ◽

Time Dependent ◽

Mimetic Finite Difference Method ◽

Diffusion Problems

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Correction to: The High-Order Mixed Mimetic Finite Difference Method for Time-Dependent Diffusion Problems

Journal of Scientific Computing ◽

10.1007/s10915-019-01022-0 ◽

2019 ◽

Vol 80 (3) ◽

pp. 1831-1831

Author(s):

Gianmarco Manzini ◽

Gianluca Maguolo ◽

Mario Putti

Keyword(s):

Finite Difference ◽

Finite Difference Method ◽

Difference Method ◽

Time Dependent ◽

Mimetic Finite Difference Method ◽

Diffusion Problems

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Convergence of the Mimetic Finite Difference Method for Diffusion Problems on Polyhedral Meshes

SIAM Journal on Numerical Analysis ◽

10.1137/040613950 ◽

2005 ◽

Vol 43 (5) ◽

pp. 1872-1896 ◽

Author(s):

Franco Brezzi ◽

Konstantin Lipnikov ◽

Mikhail Shashkov

Keyword(s):

Finite Difference ◽

Finite Difference Method ◽

Difference Method ◽

Polyhedral Meshes ◽

Mimetic Finite Difference Method ◽

Diffusion Problems

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Monotonicity conditions in the nodal mimetic finite difference method for diffusion problems on quadrilateral meshes

10.2172/1079553 ◽

2013 ◽

Author(s):

Gianmarco Manzini ◽

Alessandro Russo

Keyword(s):

Finite Difference ◽

Finite Difference Method ◽

Difference Method ◽

Quadrilateral Meshes ◽

Mimetic Finite Difference Method ◽

Monotonicity Conditions ◽

Diffusion Problems

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Exponential high-order compact finite difference method for convection-dominated diffusion problems on nonuniform grids

Numerical Heat Transfer Part B Fundamentals ◽

10.1080/10407790.2019.1607115 ◽

2019 ◽

Vol 75 (3) ◽

pp. 145-177

Author(s):

F. Tian ◽

Y. B. Ge ◽

Z. F. Tian

Keyword(s):

Finite Difference ◽

Finite Difference Method ◽

Difference Method ◽

Nonuniform Grids ◽

Compact Finite Difference ◽

Compact Finite Difference Method ◽

Convection Dominated ◽

Diffusion Problems

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Mimetic finite difference method for the Stokes problem on polygonal meshes

Journal of Computational Physics ◽

10.1016/j.jcp.2009.06.034 ◽

2009 ◽

Vol 228 (19) ◽

pp. 7215-7232 ◽

Author(s):

L. Beirão da Veiga ◽

V. Gyrya ◽

K. Lipnikov ◽

G. Manzini

Keyword(s):

Finite Difference ◽

Finite Difference Method ◽

Difference Method ◽

Stokes Problem ◽

Polygonal Meshes ◽

Mimetic Finite Difference Method

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The mimetic finite difference method on polygonal meshes for diffusion-type problems

Computational Geosciences ◽

10.1007/s10596-004-3771-1 ◽

2004 ◽

Vol 8 (4) ◽

pp. 301-324 ◽

Author(s):

Y. Kuznetsov ◽

K. Lipnikov ◽

M. Shashkov

Keyword(s):

Finite Difference ◽

Finite Difference Method ◽

Difference Method ◽

Diffusion Type ◽

Polygonal Meshes ◽

Mimetic Finite Difference Method

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Convergence analysis of the high-order mimetic finite difference method

Numerische Mathematik ◽

10.1007/s00211-009-0234-6 ◽

2009 ◽

Vol 113 (3) ◽

pp. 325-356 ◽

Author(s):

L. Beirão da Veiga ◽

K. Lipnikov ◽

G. Manzini

Keyword(s):

Finite Difference ◽

Finite Difference Method ◽

Convergence Analysis ◽

Difference Method ◽

Mimetic Finite Difference Method

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Modelling Seismic Wave Propagation in Heterogeneous Poroelastic Media Using a High-Order Staggered Finite-Difference Method

Chinese Journal of Geophysics ◽

10.1002/cjg2.441 ◽

2003 ◽

Vol 46 (6) ◽

pp. 1206-1217 ◽

Author(s):

Xiuming WANG ◽

Hailan ZHANG ◽

Dong WANG

Keyword(s):

Wave Propagation ◽

Finite Difference ◽

Finite Difference Method ◽

Seismic Wave ◽

Difference Method ◽

Seismic Wave Propagation ◽

Poroelastic Media

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Staggered-Grid High-Order Finite-Difference Method in Elastic Wave Simulation with Variable Grids and Local Time-Steps

Chinese Journal of Geophysics ◽

10.1002/cjg2.1457 ◽

2009 ◽

Vol 52 (6) ◽

pp. 1324-1333 ◽

Author(s):

Chao HUANG ◽

Liang-Guo DONG

Keyword(s):

Finite Difference ◽

Finite Difference Method ◽

Elastic Wave ◽

Difference Method ◽

Staggered Grid ◽

Wave Simulation ◽

High Order Finite Difference

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