메뉴 건너뛰기




Volumn 100, Issue , 2009, Pages 423-436

Multigrid software for industrial applications - From MG00 to SAMG

Author keywords

[No Author keywords available]

Indexed keywords


EID: 66149134099     PISSN: 16122909     EISSN: None     Source Type: Book Series    
DOI: 10.1007/978-3-540-70805-6_33     Document Type: Review
Times cited : (12)

References (38)
  • 2
    • 0036867930 scopus 로고    scopus 로고
    • Preconditioning techniques for largeAlinear systems: A survey
    • Benzi, M.: Preconditioning techniques for largeAlinear systems: a survey. J. Comp. Physics 182, 418-477 (2002)
    • (2002) J. Comp. Physics , vol.182 , pp. 418-477
    • Benzi, M.1
  • 3
    • 33644811158 scopus 로고    scopus 로고
    • Parallel Scalable Unstructured CPR-Type Linear Solver for Reservoir Simulation
    • Dallas, TX, October 9-12
    • Cao, H., Tchelepi, H.A., Wallis, J., Yardumian, H.: Parallel Scalable Unstructured CPR-Type Linear Solver for Reservoir Simulation. In: Procs. 2005 SPE ATCE, Dallas, TX, October 9-12 (2005)
    • (2005) Procs. 2005 SPE ATCE
    • Cao, H.1    Tchelepi, H.A.2    Wallis, J.3    Yardumian, H.4
  • 4
    • 84872805462 scopus 로고    scopus 로고
    • Clees, T.: AMG Strategies for PDE Systems with Applications in Industrial Semiconductor Simulation. Fraunhofer Series Inf. Comm. Tech. 6/2005, Shaker, Aachen (October 2005); Dissertation, University of Cologne, Germany (November 2004)
    • Clees, T.: AMG Strategies for PDE Systems with Applications in Industrial Semiconductor Simulation. Fraunhofer Series Inf. Comm. Tech. 6/2005, Shaker, Aachen (October 2005); Dissertation, University of Cologne, Germany (November 2004)
  • 5
    • 34249334273 scopus 로고    scopus 로고
    • An efficient algebraic multi-grid solver strategy for adaptive implicit methods in oil reservoir simulation
    • Houston, TX, Feb 26-28 (, Paper SPE 105789 submitted to SPEJ
    • Clees, T., Ganzer, L.: An efficient algebraic multi-grid solver strategy for adaptive implicit methods in oil reservoir simulation. In: Procs. 2007 SPE RSS, Houston, TX, Feb 26-28 (2007); Paper SPE 105789 (submitted to SPEJ)
    • (2007) Procs. 2007 SPE RSS
    • Clees, T.1    Ganzer, L.2
  • 7
    • 84872827862 scopus 로고    scopus 로고
    • Clees, T., Stüben, K.: Algebraic multigrid for industrial semiconductor device simulation. In: Bänsch, E. (ed.) Procs. Challenges in Scientific Computing (CISC), October 2-5, 2002. Lect. Notes Comp. Sci. Eng., 35, pp. 110-130. Springer, Berlin (2002)
    • Clees, T., Stüben, K.: Algebraic multigrid for industrial semiconductor device simulation. In: Bänsch, E. (ed.) Procs. Challenges in Scientific Computing (CISC), October 2-5, 2002. Lect. Notes Comp. Sci. Eng., vol. 35, pp. 110-130. Springer, Berlin (2002)
  • 8
    • 84872793688 scopus 로고    scopus 로고
    • Using and testing the algebraic multigrid equation solver SAMG in FEFLOW
    • White Papers, III
    • DHI-WASY. Using and testing the algebraic multigrid equation solver SAMG in FEFLOW. In: FEFLOW User's Manual, White Papers, vol. III, http://www.wasy.de/english/produkte/feflow/doku.html
    • FEFLOW User's Manual
  • 11
    • 34548380842 scopus 로고    scopus 로고
    • ML 5.0 smoothed aggregation user's guide
    • Technical Report SAND2006-2649, CA, USA
    • Gee, M.W., Siefert, C.M., Hu, J.J., Tuminaro, R.S., Sala, M.G.: ML 5.0 smoothed aggregation user's guide. Technical Report SAND2006-2649, Sandia National Laboratories (CA), USA (2006), http://trilinos.sandia.gov/packages/ml/
    • (2006)
    • Gee, M.W.1    Siefert, C.M.2    Hu, J.J.3    Tuminaro, R.S.4    Sala, M.G.5
  • 15
    • 34249320499 scopus 로고    scopus 로고
    • Deflation AMG solvers for highly ill-conditioned reservoir simulation problems
    • Houston, TX, February 26-28 (, Paper SPE 105820 submitted to SPEJ
    • Klie, H., Wheeler, M.F., Clees, T., Stüben, K.: Deflation AMG solvers for highly ill-conditioned reservoir simulation problems. In: Procs, 2007 SPE RSS, Houston, TX, February 26-28 (2007); Paper SPE 105820 (submitted to SPEJ)
    • (2007) Procs, 2007 SPE RSS
    • Klie, H.1    Wheeler, M.F.2    Clees, T.3    Stüben, K.4
  • 16
    • 84872797427 scopus 로고    scopus 로고
    • SAMGp User's Manual, Release 21z
    • October
    • Krechel, A., Stüben, K.: SAMGp User's Manual, Release 21z. Fraunhofer SCAI (October 2005), http://www.scai.fraunhofer.de/samg.html
    • (2005) Fraunhofer SCAI
    • Krechel, A.1    Stüben, K.2
  • 17
    • 37249022527 scopus 로고    scopus 로고
    • Application of single-level, pointwise algebraic, and smoothed aggregation multigrid methods to direct numerical simulations of incompressible turbulent flows
    • Larson, G., Synder, D., Abeele, D.V., Clees, T.: Application of single-level, pointwise algebraic, and smoothed aggregation multigrid methods to direct numerical simulations of incompressible turbulent flows. Comput. Visual. Sci. 11, 27-40 (2008)
    • (2008) Comput. Visual. Sci , vol.11 , pp. 27-40
    • Larson, G.1    Synder, D.2    Abeele, D.V.3    Clees, T.4
  • 18
    • 84880483354 scopus 로고    scopus 로고
    • Parallel algebraic multigrid methods - high performance preconditioners
    • Bruaset, A.M, Tveito, A, eds, Springer, Heidelberg
    • Meier Yang, U.: Parallel algebraic multigrid methods - high performance preconditioners. In: Bruaset, A.M., Tveito, A. (eds.) Numerical Solution of Partial Differential Equations on Parallel Computers, pp. 209-236. Springer, Heidelberg (2006), http://www.llnl.gov/CASC/hypre/
    • (2006) Numerical Solution of Partial Differential Equations on Parallel Computers , pp. 209-236
    • Meier Yang, U.1
  • 19
    • 2942528972 scopus 로고    scopus 로고
    • Advancing analysis capabilities in ANSYS through solver technology
    • Poole, G., Liu, Y.-C., Mandel, J.: Advancing analysis capabilities in ANSYS through solver technology. Electr. Trans. Numer. Anal. 15, 106-121 (2003)
    • (2003) Electr. Trans. Numer. Anal , vol.15 , pp. 106-121
    • Poole, G.1    Liu, Y.-C.2    Mandel, J.3
  • 21
    • 0011461617 scopus 로고
    • AMG for problems of elasticity
    • Ruge, J.: AMG for problems of elasticity. Appl. Math. Comp. 19, 293-309 (1986)
    • (1986) Appl. Math. Comp , vol.19 , pp. 293-309
    • Ruge, J.1
  • 22
    • 84872817576 scopus 로고    scopus 로고
    • Ruge, J., Stuben, K.: Algebraic Multigrid (AMG). In: McCormick, S.F. (ed.) Multigrid Methods. Frontiers in Applied Mathematics, 3, pp. 73-130. SIAM, Philadelphia (1987)
    • Ruge, J., Stuben, K.: Algebraic Multigrid (AMG). In: McCormick, S.F. (ed.) Multigrid Methods. Frontiers in Applied Mathematics, vol. 3, pp. 73-130. SIAM, Philadelphia (1987)
  • 23
    • 0039179703 scopus 로고    scopus 로고
    • Iterative solution of linear systems in the 20th century
    • Saad, Y., van der Vorst, H.: Iterative solution of linear systems in the 20th century. J. Comp. Appl. Math. 123, 1-33 (2000)
    • (2000) J. Comp. Appl. Math , vol.123 , pp. 1-33
    • Saad, Y.1    van der Vorst, H.2
  • 24
    • 4244059578 scopus 로고
    • Reduktionsverfahren für Differenzengleichungen bei Randwertaufgaben I.
    • Schröder, J., Trottenberg, U.: Reduktionsverfahren für Differenzengleichungen bei Randwertaufgaben I. Numer. Math. 22, 37-68 (1973)
    • (1973) Numer. Math , vol.22 , pp. 37-68
    • Schröder, J.1    Trottenberg, U.2
  • 25
    • 26544437023 scopus 로고
    • Reduktionsverfahren für Differenzengleichungen bei Randwertaufgaben I.
    • Schröder, J., Trottenberg, U., Reutersberg, H.: Reduktionsverfahren für Differenzengleichungen bei Randwertaufgaben I. Numer. Math. 26, 429-459 (1976)
    • (1976) Numer. Math , vol.26 , pp. 429-459
    • Schröder, J.1    Trottenberg, U.2    Reutersberg, H.3
  • 26
    • 0011483904 scopus 로고
    • Schultz, M, ed, Santa Fe NM, Academic Press, New York
    • Schultz, M. (ed.): Elliptic Problem Solvers, Santa Fe (NM). Academic Press, New York (1981)
    • (1981) Elliptic Problem Solvers
  • 27
    • 84874524961 scopus 로고    scopus 로고
    • Solchenbach, K., Trottenberg, U.: On the multigrid acceleration approach in computational fluid dynamics. In: Dierstein, R., Müller-Wichards, D., Wacker, H.-M. (eds.) DFVLR-Seminar 1987. LNCS, 295, pp. 145-158. Springer, Heidelberg (1988)
    • Solchenbach, K., Trottenberg, U.: On the multigrid acceleration approach in computational fluid dynamics. In: Dierstein, R., Müller-Wichards, D., Wacker, H.-M. (eds.) DFVLR-Seminar 1987. LNCS, vol. 295, pp. 145-158. Springer, Heidelberg (1988)
  • 28
    • 66149147272 scopus 로고    scopus 로고
    • Solving Reservoir Simulation Equations
    • December 9-13, Abu Dhabi
    • Stüben, K.: Solving Reservoir Simulation Equations. In: 9th SPE Int. Forum Reservoir Simulation December 9-13, Abu Dhabi (2007)
    • (2007) 9th SPE Int. Forum Reservoir Simulation
    • Stüben, K.1
  • 29
    • 0035282142 scopus 로고    scopus 로고
    • A review of algebraic multigrid
    • Stüben, K.: A review of algebraic multigrid. J. Comp. Appl. Math. 128, 281-309 (2001)
    • (2001) J. Comp. Appl. Math , vol.128 , pp. 281-309
    • Stüben, K.1
  • 31
    • 84872781068 scopus 로고    scopus 로고
    • SAMG User's Manual, Release 22c
    • May 2005
    • Stüben, K., Clees, T.: SAMG User's Manual, Release 22c. Fraunhofer SCAI (May 2005), http://www.scai.fraunhofer.de/samg.html
    • Fraunhofer SCAI
    • Stüben, K.1    Clees, T.2
  • 32
    • 34249303482 scopus 로고    scopus 로고
    • Stüben, K., Clees, T., Klie, H., Lou, B., Wheeler, M.F.: Algebraic multigrid methods (AMG) for the efficient solution of fully implicit formulations in reservoir simulation. In: Procs. 2007 SPE RSS, Houston, TX, February 26-28 (2007) Paper SPE 105832
    • Stüben, K., Clees, T., Klie, H., Lou, B., Wheeler, M.F.: Algebraic multigrid methods (AMG) for the efficient solution of fully implicit formulations in reservoir simulation. In: Procs. 2007 SPE RSS, Houston, TX, February 26-28 (2007) Paper SPE 105832
  • 33
    • 84872785343 scopus 로고    scopus 로고
    • Stüben, K., Delaney, P., Chmakov, S.: Algebraic Multigrid (AMG) for Ground Water Flow and Oil Reservoir Simulation. In: Procs. MODFLOW and More 2003. Colorado School of Mines, Golden (CO), USA, September 17-19 (2003)
    • Stüben, K., Delaney, P., Chmakov, S.: Algebraic Multigrid (AMG) for Ground Water Flow and Oil Reservoir Simulation. In: Procs. MODFLOW and More 2003. Colorado School of Mines, Golden (CO), USA, September 17-19 (2003)
  • 35
    • 84872794547 scopus 로고    scopus 로고
    • Trottenberg, U., Oosterlee, C.W., Schüller, A.: Multigrid. Academic Press, London (2001) (appendices by K. Stüben, P. Oswald, and A. Brandt) 436 U. Trottenberg, T. Clees
    • Trottenberg, U., Oosterlee, C.W., Schüller, A.: Multigrid. Academic Press, London (2001) (appendices by K. Stüben, P. Oswald, and A. Brandt) 436 U. Trottenberg, T. Clees
  • 36
    • 0030388574 scopus 로고    scopus 로고
    • Algebraic multigrid by smoothed aggregation for second and fourth order problems
    • Vaněk, P., Mandel, J., Brezina, M.: Algebraic multigrid by smoothed aggregation for second and fourth order problems. Computing 56, 179-196 (1996)
    • (1996) Computing , vol.56 , pp. 179-196
    • Vaněk, P.1    Mandel, J.2    Brezina, M.3
  • 37
    • 84983103144 scopus 로고    scopus 로고
    • Implicit solution of the Navier-Stokes equations on unstructured meshes
    • AIAA Paper 97-2103 June
    • Weiss, J.M., Maruszewski, J.P., Smith, W.A.: Implicit solution of the Navier-Stokes equations on unstructured meshes. In: 13th AIAA CFD Conference. AIAA Paper 97-2103 (June 1997)
    • (1997) 13th AIAA CFD Conference
    • Weiss, J.M.1    Maruszewski, J.P.2    Smith, W.A.3
  • 38
    • 33750799898 scopus 로고    scopus 로고
    • Why multigrid methods are so efficient. Computing in Science and Engineering, Special issue on Multigrid
    • Yavneh, I.: Why multigrid methods are so efficient. Computing in Science and Engineering, Special issue on Multigrid Computing 8, 12-22 (2006)
    • (2006) Computing , vol.8 , pp. 12-22
    • Yavneh, I.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.