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Applicable Analysis
An International Journal
Volume 89, 2010 - Issue 10
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Original Articles

A mixed hybrid Mortar method for solving flow in discrete fracture networks

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Pages 1629-1643 | Received 13 Jan 2009, Accepted 17 May 2010, Published online: 15 Sep 2010

References

  • de Dreuzy , J-R , Davy , P and Bour , O . Permeability of 2D fracture networks with power law distributions of length and aperture, Water Resources Res. 38 (2002), pp. 1–9
  • Erhel , J , de Dreuzy , J-R and Poirriez , B . 2009 . Flow simulation in three-dimensional discrete fracture network . SIAM J. Sci. Comput. , 31 ( 4 ) : 2688 – 2705 .
  • Bernardi , C , Maday , Y and Patera , AT . 1993 . “ Domain decomposition by the Mortar element method ” . In in Asymptotic and Numerical Methods for Partial Differential Equations with Critical Parameters , Edited by: Kaper , HG and Garbey , M . 269 – 286 . Dordrecht : Kluwer .
  • Bernardi , C , Maday , Y and Patera , AT . 1994 . “ A new conforming approach to domain decomposition: the mortar element method ” . In in Nonlinear Partial Differential Equations and their Applications , Edited by: Brezils , H and Lions , J . 13 – 51 . Harlow : Longman .
  • Bernardi , C and Maday , Y . 2001 . “ Spectral, spectral element and mortar element method ” . In Theory and Numerics of Differential Equations , Edited by: Blowey , JF , Coleman , JP and Craig , AW . 1 – 57 . Berlin : Springer .
  • Arbogast , T , Cowsar , LC , Wheeler , MF and Yotov , I . 2000 . Mixed finite element methods on non-matching multiblock grids . SIAM J. Numer. Anal. , 37 ( 4 ) : 1295 – 1315 .
  • Hoteit , H , Erhel , J , Mosé , R , Philippe , B and Ackerer , Ph . 2002 . Numerical reliability for mixed methods applied to flow problems in porous media . Computat. Geosci. , 6 : 161 – 194 .
  • Hoteit , H . Simulation d'écoulements et de transports de polluants en milieux poreux: Application à la modélisation de la sûreté des dépôts de déchets radioactifs, PhD thesis, Rennes1 University, 2002
  • Arnold , DN and Brezzi , F . 1985 . Mixed and nonconforming finite element methods: Implementation, post-processing and error estimates . Math. Model. Numer. Anal. , 19 ( 1 ) : 7 – 32 .
  • Jaffré , J , Martin , V and Roberts , JE . 2005 . Modeling fractures and barriers as interfaces for flow in porous media . SIAM J. Sci. Comput. , 26 ( 5 ) : 1667 – 1691 .
  • Vohralik , M . Méthodes numériques pour des équations elliptiques et paraboliques non linéaires, Application à des problèmes d'écoulement en milieux poreux et fracturés, PhD thesis, Paris IX Orsay University and Czech Technical University, Prague, 2004

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