메뉴 건너뛰기




Volumn 26, Issue 5, 2005, Pages 1667-1691

Modeling fractures and barriers as interfaces for flow in porous media

Author keywords

Barriers; Domain decomposition; Faults; Flow in porous media; Fractures; Mixed finite elements

Indexed keywords

COMPUTER SIMULATION; CONVERGENCE OF NUMERICAL METHODS; FLOW OF FLUIDS; FRACTURE; MATHEMATICAL MODELS;

EID: 25444530880     PISSN: 10648275     EISSN: None     Source Type: Journal    
DOI: 10.1137/S1064827503429363     Document Type: Article
Times cited : (563)

References (17)
  • 2
    • 25444471237 scopus 로고    scopus 로고
    • Domain decomposition for flow in fractured porous media
    • C. H. Lai, P. E. Bjorstad, M. Cross, and O. B. Widlund, eds., Domain Decomposition Press, Bergen, Norway
    • C. ALBOIN, J. JAFFRÉ, J. E. ROBERTS, AND C. SERRES, Domain decomposition for flow in fractured porous media, in Domain Decomposition Methods in Sciences and Engineering, C. H. Lai, P. E. Bjorstad, M. Cross, and O. B. Widlund, eds., Domain Decomposition Press, Bergen, Norway, 1999, pp. 365-373.
    • (1999) Domain Decomposition Methods in Sciences and Engineering , pp. 365-373
    • Alboin, C.1    Jaffré, J.2    Roberts, J.E.3    Serres, C.4
  • 3
    • 25444486908 scopus 로고    scopus 로고
    • Domain decomposition for some transmission problems in flow in porous media
    • Numerical Treatment of Multiphase Flows in Porous Media (Beijing, 1999), Springer-Verlag, Berlin
    • C. ALBOIN, J. JAFFRÉ, J. E. ROBERTS, X. WANG, AND C. SERRES, Domain decomposition for some transmission problems in flow in porous media, in Numerical Treatment of Multiphase Flows in Porous Media (Beijing, 1999), Lecture Notes in Phys. 552, Springer-Verlag, Berlin, 2000, pp. 22-34.
    • (2000) Lecture Notes in Phys. , vol.552 , pp. 22-34
    • Alboin, C.1    Jaffré, J.2    Roberts, J.E.3    Wang, X.4    Serres, C.5
  • 4
    • 0142229227 scopus 로고    scopus 로고
    • Convergence of finite volume methods on general meshes for non smooth solution of elliptic problems with cracks
    • F. Benkhaldoun, R. Vilsmeier, and D. Hänel, eds., Hermes Science Publications, Paris
    • PH. ANGOT, T. GALLOUËT, AND R. HERBIN, Convergence of finite volume methods on general meshes for non smooth solution of elliptic problems with cracks, in Finite Volumes for Complex Applications II, F. Benkhaldoun, R. Vilsmeier, and D. Hänel, eds., Hermes Science Publications, Paris, 1999, pp. 215-222.
    • (1999) Finite Volumes for Complex Applications II , pp. 215-222
    • Angot, P.H.1    Gallouët, T.2    Herbin, R.3
  • 5
    • 0001476939 scopus 로고    scopus 로고
    • Mixed finite element methods on nonmatching multiblock grids
    • T. ARBOGAST, L. C. COWSAR, M. F. WHEELER, AND I. YOTOV, Mixed finite element methods on nonmatching multiblock grids, SIAM J. Numer. Anal., 37 (2000), pp. 1295-1315.
    • (2000) SIAM J. Numer. Anal. , vol.37 , pp. 1295-1315
    • Arbogast, T.1    Cowsar, L.C.2    Wheeler, M.F.3    Yotov, I.4
  • 6
    • 0003595754 scopus 로고    scopus 로고
    • Numerical simulation of multiphase flow in fractured porous media
    • Numerical Treatment of Multiphase Flows in Porous Media (Beijing, 1999), Springer-Verlag, Berlin
    • P. BASTIAN, Z. CHEN, R. E. EWING, R. HELMIG, H. JAKOBS, AND V. REICHENBERGER, Numerical simulation of multiphase flow in fractured porous media, in Numerical Treatment of Multiphase Flows in Porous Media (Beijing, 1999), Lecture Notes in Phys. 552, Springer-Verlag, Berlin, 2000, pp. 50-68.
    • (2000) Lecture Notes in Phys. , vol.552 , pp. 50-68
    • Bastian, P.1    Chen, Z.2    Ewing, R.E.3    Helmig, R.4    Jakobs, H.5    Reichenberger, V.6
  • 8
    • 0026398228 scopus 로고
    • A unified physical presentation of mixed, mixed-hybrid finite elements and standard finite difference approximations for the determination of velocities in waterflow problems
    • G. CHAVENT AND J. ROBERTS, A unified physical presentation of mixed, mixed-hybrid finite elements and standard finite difference approximations for the determination of velocities in waterflow problems, Advances in Water Resources, 14 (1991), pp. 329-348.
    • (1991) Advances in Water Resources , vol.14 , pp. 329-348
    • Chavent, G.1    Roberts, J.2
  • 9
    • 21844508844 scopus 로고
    • Balancing domain decomposition for mixed finite elements
    • L. C. COWSAR, J. MANDEL, AND M. F. WHEELER, Balancing domain decomposition for mixed finite elements, Math. Comp., 64 (1995), pp. 989-1015.
    • (1995) Math. Comp. , vol.64 , pp. 989-1015
    • Cowsar, L.C.1    Mandel, J.2    Wheeler, M.F.3
  • 11
    • 0016091219 scopus 로고
    • Phénomènes de transmission à travers des couches minces de conductivité élevée
    • P. H. HUNG AND E. SÁNCHEZ-PALENCIA, Phénomènes de transmission à travers des couches minces de conductivité élevée, J. Math. Anal. Appl., 47 (1974), pp. 284-309.
    • (1974) J. Math. Anal. Appl. , vol.47 , pp. 284-309
    • Hung, P.H.1    Sánchez-Palencia, E.2
  • 13
    • 0343719379 scopus 로고    scopus 로고
    • Mixed finite elements for accurate particle tracking in saturated ground-water flow
    • E. F. KAASCHIETER, Mixed finite elements for accurate particle tracking in saturated ground-water flow, Advances in Water Resources, 18 (1998), pp. 227-294.
    • (1998) Advances in Water Resources , vol.18 , pp. 227-294
    • Kaaschieter, E.F.1
  • 15
    • 0001175293 scopus 로고
    • A mixed finite element method method for second order elliptic problems
    • Mathematical Aspects of Finite Element Methods, I. Galligani and E. Magenes, eds., Springer-Verlag, Berlin
    • P.-A. RAVIART AND J.-M. THOMAS, A mixed finite element method method for second order elliptic problems, in Mathematical Aspects of Finite Element Methods, I. Galligani and E. Magenes, eds., Lecture Notes in Math. 606, Springer-Verlag, Berlin, 1977, pp. 292-315.
    • (1977) Lecture Notes in Math. , vol.606 , pp. 292-315
    • Raviart, P.-A.1    Thomas, J.-M.2
  • 16
    • 70350630547 scopus 로고
    • Mixed and hybrid methods
    • P. G. Ciarlet and J. L. Lions, eds., North-Holland, Amsterdam
    • J. E. ROBERTS AND J.-M. THOMAS, Mixed and hybrid methods, in Handbook of Numerical Analysis II, P. G. Ciarlet and J. L. Lions, eds., North-Holland, Amsterdam, 1991, pp. 523-639.
    • (1991) Handbook of Numerical Analysis II , pp. 523-639
    • Roberts, J.E.1    Thomas, J.-M.2
  • 17
    • 0000894052 scopus 로고
    • Problèmes de perturbations liés aux phénomè nes de conduction à travers des couches minces de grande résistivité
    • E. SÁNCHEZ-PALENCIA, Problèmes de perturbations liés aux phénomènes de conduction à travers des couches minces de grande résistivité, J. Math. Pures Appl. (9), 53 (1974), pp. 251-269.
    • (1974) J. Math. Pures Appl. (9) , vol.53 , pp. 251-269
    • Sánchez-Palencia, E.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.