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Volumn , Issue , 2008, Pages

Mortar coupling of discontinuous galerkin and mixed finite element methods

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATION THEORY; DOMAIN DECOMPOSITION METHODS; GALERKIN METHODS; MORTAR; NUMERICAL METHODS; POROUS MATERIALS;

EID: 85086612894     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.3997/2214-4609.20146370     Document Type: Conference Paper
Times cited : (2)

References (28)
  • 2
    • 0001662357 scopus 로고    scopus 로고
    • Iterative substructuring preconditioners for mortar element methods in two dimensions
    • Yves Achdou, Yvon Maday, and Olof B. Widlund. Iterative substructuring preconditioners for mortar element methods in two dimensions. SIAM J. Numer. Anal., 36(2): 551-580, 1999.
    • (1999) SIAM J. Numer. Anal. , vol.36 , Issue.2 , pp. 551-580
    • Achdou, Y.1    Maday, Y.2    Widlund, O.B.3
  • 4
    • 0001476939 scopus 로고    scopus 로고
    • Mixed finite element methods on non-matching multiblock grids
    • T. Arbogast, L. C. Cowsar, M. F. Wheeler, and I. Yotov. Mixed finite element methods on non-matching multiblock grids. SIAMJ. Numer. Anal, 37: 1295-1315, 2000.
    • (2000) SIAMJ. Numer. Anal , vol.37 , pp. 1295-1315
    • Arbogast, T.1    Cowsar, L.C.2    Wheeler, M.F.3    Yotov, I.4
  • 6
    • 0001416032 scopus 로고    scopus 로고
    • A high-order accurate discontinuous finite element method for the numerical solution of the compressible navier-stokes equations
    • F. Bassi and S. Rebay. A high-order accurate discontinuous finite element method for the numerical solution of the compressible Navier-Stokes equations. J. Comput. Phys., 131: 267-279, 1997.
    • (1997) J. Comput. Phys. , vol.131 , pp. 267-279
    • Bassi, F.1    Rebay, S.2
  • 8
    • 0344393366 scopus 로고    scopus 로고
    • The local discontinuous galerkin method for time-dependent convection-diffusion systems
    • (electronic)
    • B. Cockburn and C.-W. Shu. The local discontinuous Galerkin method for time-dependent convection-diffusion systems. SIAM J. Numer. Anal., 35(6): 2440-2463 (electronic), 1998.
    • (1998) SIAM J. Numer. Anal. , vol.35 , Issue.6 , pp. 2440-2463
    • Cockburn, B.1    Shu, C.-W.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: 989-1015, 1995.
    • (1995) Math. Comp. , vol.64 , pp. 989-1015
    • Cowsar, L.C.1    Mandel, J.2    Wheeler, M.F.3
  • 10
    • 0031544312 scopus 로고    scopus 로고
    • A parallel, implicit, cell-centered method for two-phase flow with a preconditioned newton-krylov solver
    • C. N. Dawson, H. Klíe, M. F. Wheeler, and C. S. Woodward. A parallel, implicit, cell-centered method for two-phase flow with a preconditioned Newton-Krylov solver. Comput. Geosci., 1(3-4): 215-249 (1998), 1997.
    • (1997) Comput. Geosci. , vol.1 , Issue.3-4 , pp. 215-249
    • Dawson, C.N.1    Klíe, H.2    Wheeler, M.F.3    Woodward, C.S.4
  • 11
    • 10444236314 scopus 로고    scopus 로고
    • Compatible algorithms for coupled flow and transport
    • Clint Dawson, Shuyu Sun, and Mary F. Wheeler. Compatible algorithms for coupled flow and transport. Comput. Methods Appl. Mech. Engrg., 193(23-26): 2565-2580, 2004.
    • (2004) Comput. Methods Appl. Mech. Engrg. , vol.193 , Issue.23-26 , pp. 2565-2580
    • Dawson, C.1    Sun, S.2    Wheeler, M.F.3
  • 12
    • 55549147178 scopus 로고    scopus 로고
    • Coupling discontinuous galerkin and mixed finite element discretizations using mortar finite elements
    • Vivette Girault, Shuyu Sun, Mary F. Wheeler, and Ivan Yotov. Coupling discontinuous Galerkin and mixed finite element discretizations using mortar finite elements. SIAM J. Numer. Anal., 46(2): 949-979, 2008.
    • (2008) SIAM J. Numer. Anal. , vol.46 , Issue.2 , pp. 949-979
    • Girault, V.1    Sun, S.2    Wheeler, M.F.3    Yotov, I.4
  • 13
    • 0001099785 scopus 로고
    • Domain decomposition and mixed finite element methods for elliptic problems
    • R. Glowinski, G. H. Golub, G. A. Meurant, and J. Periaux, editors SIAM, Philadelphia
    • R. Glowinski and M. F. Wheeler. Domain decomposition and mixed finite element methods for elliptic problems. In R. Glowinski, G. H. Golub, G. A. Meurant, and J. Periaux, editors, First International Symposium on Domain Decomposition Methods for Partial Differential Equations, pages 144-172. SIAM, Philadelphia, 1988.
    • (1988) First International Symposium on Domain Decomposition Methods for Partial Differential Equations , pp. 144-172
    • Glowinski, R.1    Wheeler, M.F.2
  • 14
    • 0012550925 scopus 로고    scopus 로고
    • Multigrid for the mortar finite element method
    • Jayadeep Gopalakrishnan and Joseph E. Pasciak. Multigrid for the mortar finite element method. SIAM J. Numer. Anal., 37(3): 1029-1052, 2000.
    • (2000) SIAM J. Numer. Anal. , vol.37 , Issue.3 , pp. 1029-1052
    • Gopalakrishnan, J.1    Pasciak, J.E.2
  • 15
    • 0000902475 scopus 로고
    • Optimal order substructuring preconditioners for mixed finite element methods on non-matching grids
    • Y. A. Kuznetsov and M. F. Wheeler. Optimal order substructuring preconditioners for mixed finite element methods on non-matching grids. East-West J. Numer. Math., 3(2): 127-143, 1995.
    • (1995) East-West J. Numer. Math. , vol.3 , Issue.2 , pp. 127-143
    • Kuznetsov, Y.A.1    Wheeler, M.F.2
  • 16
    • 2942546242 scopus 로고    scopus 로고
    • Iterative solution methods for modeling multiphase flow in porous media fully implicitly
    • (electronic)
    • S. Lacroix, Yu. Vassilevski, J. Wheeler, and M. Wheeler. Iterative solution methods for modeling multiphase flow in porous media fully implicitly. SIAM J. Sci. Comput., 25(3): 905-926 (electronic), 2003.
    • (2003) SIAM J. Sci. Comput. , vol.25 , Issue.3 , pp. 905-926
    • Lacroix, S.1    Vassilevski, Yu.2    Wheeler, J.3    Wheeler, M.4
  • 17
    • 34548566808 scopus 로고    scopus 로고
    • A multscale mortar mixed finite element method for slightly compressible flows in porous media
    • S. G. Thomas M. Y. Kim, E. J. Park and M. F. Wheeler. A multscale mortar mixed finite element method for slightly compressible flows in porous media. J. Kor. Math. Soc., 44(5): 1103-1119, 2007.
    • (2007) J. Kor. Math. Soc. , vol.44 , Issue.5 , pp. 1103-1119
    • Thomas, S.G.1    Kim, M.Y.2    Park, E.J.3    Wheeler, M.F.4
  • 18
    • 0030518529 scopus 로고    scopus 로고
    • Balancing domain decomposition for problems with large jumps in coefficients
    • J. Mandel and M. Brezina. Balancing domain decomposition for problems with large jumps in coefficients. Mathematics of Computation, 65(216): 1387-1401, 1996.
    • (1996) Mathematics of Computation , vol.65 , Issue.216 , pp. 1387-1401
    • Mandel, J.1    Brezina, M.2
  • 20
    • 0032209437 scopus 로고    scopus 로고
    • A discontinuous hp finite element method for diffusion problems
    • J. T. Oden, I. Babuška, and C. E. Baumann. A discontinuous hp finite element method for diffusion problems. J. Comput. Phys., 146: 491-516, 1998.
    • (1998) J. Comput. Phys. , vol.146 , pp. 491-516
    • Oden, J.T.1    Babuška, I.2    Baumann, C.E.3
  • 21
    • 0037233472 scopus 로고    scopus 로고
    • Balancing domain decomposition for mortar mixed finite element methods on non-matching grids
    • G. Pencheva and I. Yotov. Balancing domain decomposition for mortar mixed finite element methods on non-matching grids. Numer. Linear Algebra Appl., 10(1-2): 159-180, 2003.
    • (2003) Numer. Linear Algebra Appl. , vol.10 , Issue.1-2 , pp. 159-180
    • Pencheva, G.1    Yotov, I.2
  • 23
    • 0036372321 scopus 로고    scopus 로고
    • Mortar upscaling for multiphase flow in porous media
    • M. Peszyńska, Mary F. Wheeler, and Ivan Yotov. Mortar upscaling for multiphase flow in porous media. Comput. Geosci., 6(1): 73-100, 2002.
    • (2002) Comput. Geosci. , vol.6 , Issue.1 , pp. 73-100
    • Peszyńska, M.1    Wheeler, M.F.2    Yotov, I.3
  • 25
    • 0033511173 scopus 로고    scopus 로고
    • Part I: Improved energy estimates for interior penalty, constrained and discontinuous galerkin methods for elliptic problems
    • B. Rivière, M. F. Wheeler, and V. Girault. Part I: Improved energy estimates for interior penalty, constrained and discontinuous Galerkin methods for elliptic problems. Computational Geosciences, 3: 337-360, 1999.
    • (1999) Computational Geosciences , vol.3 , pp. 337-360
    • Rivière, B.1    Wheeler, M.F.2    Girault, V.3
  • 26
    • 0000802762 scopus 로고
    • An elliptic collocation-finite element method with interior penalties
    • M. F. Wheeler. An elliptic collocation-finite element method with interior penalties. SIAM J. Numer. Anal., 15: 152-161, 1978.
    • (1978) SIAM J. Numer. Anal. , vol.15 , pp. 152-161
    • Wheeler, M.F.1
  • 27
    • 0001414833 scopus 로고    scopus 로고
    • Physical and computational domain decompositions for modeling subsurface flows
    • (Boulder, CO, 1997), Volume 218 of Contemp. Math. Amer. Math. Soc., Providence, RI
    • M. F. Wheeler and I. Yotov. Physical and computational domain decompositions for modeling subsurface flows. In Domain decomposition methods, 10 (Boulder, CO, 1997), volume 218 of Contemp. Math., pages 217-228. Amer. Math. Soc., Providence, RI, 1998.
    • (1998) Domain Decomposition Methods , vol.10 , pp. 217-228
    • Wheeler, M.F.1    Yotov, I.2
  • 28
    • 0003435740 scopus 로고    scopus 로고
    • PhD thesis, Rice University, Houston, Texas TR96-09, Dept. Comp. Appl. Math., Rice University and TICAM report 96-23, University of Texas at Austin
    • I. Yotov. Mixed finite element methods for flow in porous media. PhD thesis, Rice University, Houston, Texas, 1996. TR96-09, Dept. Comp. Appl. Math., Rice University and TICAM report 96-23, University of Texas at Austin.
    • (1996) Mixed Finite Element Methods for Flow in Porous Media
    • Yotov, I.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.