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Volumn 67, Issue 2, 2006, Pages 208-225

Performance of fully coupled algebraic multilevel domain decomposition preconditioners for incompressible flow and transport

Author keywords

Finite element methods; Graph partitioning; Multigrid; Multilevel preconditioners; Newton Krylov; Schwarz domain decomposition preconditioners

Indexed keywords

ALGEBRA; CONVERGENCE OF NUMERICAL METHODS; FINITE ELEMENT METHOD; GRAPH THEORY; MATRIX ALGEBRA; PROBLEM SOLVING; TRANSPORT PROPERTIES;

EID: 33745925596     PISSN: 00295981     EISSN: 10970207     Source Type: Journal    
DOI: 10.1002/nme.1624     Document Type: Article
Times cited : (36)

References (35)
  • 4
    • 0033353559 scopus 로고    scopus 로고
    • A black-box iterative solver based on a two-level Schwarz method
    • Brezina M, Vaněk P. A black-box iterative solver based on a two-level Schwarz method. Computing 1999; 63:233-263.
    • (1999) Computing , vol.63 , pp. 233-263
    • Brezina, M.1    Vaněk, P.2
  • 5
    • 0041034172 scopus 로고    scopus 로고
    • Convergence of algebraic multigrid based on smoothed aggregation
    • Vanek P, Brezina M, Mandel J. Convergence of algebraic multigrid based on smoothed aggregation. Numerische Mathematik 2001; 88:559-579.
    • (2001) Numerische Mathematik , vol.88 , pp. 559-579
    • Vanek, P.1    Brezina, M.2    Mandel, J.3
  • 6
    • 16844376040 scopus 로고    scopus 로고
    • Performance of fully-coupled domain decomposition preconditioners for finite element transport/reaction simulations
    • Shadid JN, Tuminaro RS, Devine KD, Henningan GL, Lin PT. Performance of fully-coupled domain decomposition preconditioners for finite element transport/reaction simulations. Journal of Computational Physics 2005; 205(1):24-47.
    • (2005) Journal of Computational Physics , vol.205 , Issue.1 , pp. 24-47
    • Shadid, J.N.1    Tuminaro, R.S.2    Devine, K.D.3    Henningan, G.L.4    Lin, P.T.5
  • 7
    • 10044224953 scopus 로고    scopus 로고
    • An aggregation-based domain decomposition preconditioner for groundwater flow
    • Technical Report TR00-13, Department of Mathematics, North Carolina State University
    • Jenkins L, Kelley T, Miller CT, Kees CE. An aggregation-based domain decomposition preconditioner for groundwater flow. Technical Report TR00-13, Department of Mathematics, North Carolina State University, 2000.
    • (2000)
    • Jenkins, L.1    Kelley, T.2    Miller, C.T.3    Kees, C.E.4
  • 8
    • 0038129714 scopus 로고    scopus 로고
    • An overlapping domain decomposition preconditioner for a class of discontinuous Galerkin approximations of advection-diffusion problems
    • Lasser C, Toselli A. An overlapping domain decomposition preconditioner for a class of discontinuous Galerkin approximations of advection-diffusion problems. Mathematics of Computation 2003; 72:1215-1238.
    • (2003) Mathematics of Computation , vol.72 , pp. 1215-1238
    • Lasser, C.1    Toselli, A.2
  • 9
    • 10044224954 scopus 로고    scopus 로고
    • Algebraic coarse grid operators for domain decomposition based preconditioners
    • Wilders P, Ecer A, Periaux J, Satofuka N, Fox P (eds). Elsevier: The Netherlands
    • Sala M, Formaggia L. Algebraic coarse grid operators for domain decomposition based preconditioners. In Parallel Computational Fluid Dynamics - Practice and Theory, Wilders P, Ecer A, Periaux J, Satofuka N, Fox P (eds). Elsevier: The Netherlands, 2002; 119-126.
    • (2002) Parallel Computational Fluid Dynamics - Practice and Theory , pp. 119-126
    • Sala, M.1    Formaggia, L.2
  • 10
    • 33745925975 scopus 로고    scopus 로고
    • Domain decomposition preconditioners: Theoretical properties, application to the compressible Euler equations, parallel aspects
    • Ph.D. Thesis, EPFL, Lausanne, Switzerland
    • Sala M. Domain decomposition preconditioners: theoretical properties, application to the compressible Euler equations, parallel aspects. Ph.D. Thesis, EPFL, Lausanne, Switzerland, 2003.
    • (2003)
    • Sala, M.1
  • 11
    • 0022810283 scopus 로고
    • A new finite element formulation for computational fluid dynamics: V. Circumventing the Babuska-Brezzi condition: A stable Petrov-Galerkin formulation of the Stokes problem accommodating equal-order interpolations
    • Hughes TJR, Franca LP, Balestra M. A new finite element formulation for computational fluid dynamics: V. circumventing the Babuska-Brezzi condition: a stable Petrov-Galerkin formulation of the Stokes problem accommodating equal-order interpolations. Computer Methods in Applied Mechanics and Engineering 1986; 59:85-99.
    • (1986) Computer Methods in Applied Mechanics and Engineering , vol.59 , pp. 85-99
    • Hughes, T.J.R.1    Franca, L.P.2    Balestra, M.3
  • 12
    • 77956849889 scopus 로고
    • Stabilized finite element formulations for incompressible flow calculations
    • Tezduyar TE. Stabilized finite element formulations for incompressible flow calculations. Advances in Applied Mechanics 1992; 28:1-44.
    • (1992) Advances in Applied Mechanics , vol.28 , pp. 1-44
    • Tezduyar, T.E.1
  • 15
    • 0033267340 scopus 로고    scopus 로고
    • A fully-coupled Newton-Krylov solution method for parallel unstructured finite element fluid flow, heat and mass transfer simulations
    • Shadid JN. A fully-coupled Newton-Krylov solution method for parallel unstructured finite element fluid flow, heat and mass transfer simulations. International Journal of Computational Fluid Dynamics 1999; 12:199-211.
    • (1999) International Journal of Computational Fluid Dynamics , vol.12 , pp. 199-211
    • Shadid, J.N.1
  • 19
    • 84985408358 scopus 로고
    • ILUT: A dual threshold incomplete ILU factorization
    • Saad Y. ILUT: a dual threshold incomplete ILU factorization. Numerical Linear Algebra with Applications 1994; 1:387-402.
    • (1994) Numerical Linear Algebra With Applications , vol.1 , pp. 387-402
    • Saad, Y.1
  • 23
    • 0001885411 scopus 로고
    • Algebraic multigrid
    • Frontiers in Applied Mathematics
    • Ruge JW, Stüben K. Algebraic multigrid. Multigrid Methods, vol. 3. Frontiers in Applied Mathematics. 1987; 73-130.
    • (1987) Multigrid Methods , vol.3 , pp. 73-130
    • Ruge, J.W.1    Stüben, K.2
  • 24
    • 0003561904 scopus 로고
    • Multilevel k-way partitioning scheme for irregular graphs
    • Technical Report 95-064, Army HPC Research Center
    • Karypis G, Kumar V. Multilevel k-way partitioning scheme for irregular graphs. Technical Report 95-064, Army HPC Research Center, 1995.
    • (1995)
    • Karypis, G.1    Kumar, V.2
  • 25
    • 0003749961 scopus 로고    scopus 로고
    • Robust iterative solvers on unstructured meshes
    • Ph.D. Thesis, University of Colorado, Denver
    • Brezina M. Robust iterative solvers on unstructured meshes. Ph.D. Thesis, University of Colorado, Denver, 1997.
    • (1997)
    • Brezina, M.1
  • 26
    • 33745916545 scopus 로고    scopus 로고
    • A field-of-value approach for smoothed aggregation preconditioners
    • Technical Report SAND2005-3333, Sandia National Laboratories, May
    • Sala M, Shadid J, Tuminaro R. A field-of-value approach for smoothed aggregation preconditioners. Technical Report SAND2005-3333, Sandia National Laboratories, May 2005.
    • (2005)
    • Sala, M.1    Shadid, J.2    Tuminaro, R.3
  • 27
    • 38049038538 scopus 로고    scopus 로고
    • Technical Report SAND2004-4820, Sandia National Laboratories, September
    • Sala M. Amesos 2.0 Reference Guide. Technical Report SAND2004-4820, Sandia National Laboratories, September 2004.
    • (2004) Amesos 2.0 Reference Guide
    • Sala, M.1
  • 28
    • 0004295534 scopus 로고    scopus 로고
    • Technical Report LBNL-44289, Lawrence Berkeley National Laboratory, October
    • Demmel JW, Gilbert JR, Li XS. SuperLU Users' Guide. Technical Report LBNL-44289, Lawrence Berkeley National Laboratory, October 2003.
    • (2003) SuperLU Users' Guide
    • Demmel, J.W.1    Gilbert, J.R.2    Li, X.S.3
  • 30
    • 0004219794 scopus 로고
    • Pitman Research Notes in Mathematics Series, Longman Scientific
    • Bramble J. Multigrid Methods, Pitman Research Notes in Mathematics Series, vol. 294. Longman Scientific: 1993.
    • (1993) Multigrid Methods , vol.294
    • Bramble, J.1
  • 31
    • 31844447078 scopus 로고    scopus 로고
    • An overview of SuperLU: Algorithms, implementation, and user interface
    • Technical Report LBNL-53848
    • Li XS. An overview of SuperLU: algorithms, implementation, and user interface. Technical Report LBNL-53848, 2003.
    • (2003)
    • Li, X.S.1
  • 33
    • 33745904561 scopus 로고    scopus 로고
    • (ed.). Sandia Report SAND94-1100 Rev. 4/2002, Sandia National Laboratories, June
    • Owen SJ (ed.). Cubit 9.0 Users Manual. Sandia Report SAND94-1100 Rev. 4/ 2002, Sandia National Laboratories, June 2004.
    • (2004) Cubit 9.0 Users Manual
    • Owen, S.J.1
  • 34
    • 0041340612 scopus 로고    scopus 로고
    • An unstructured multigrid method based on geometric smoothness
    • Chow E. An unstructured multigrid method based on geometric smoothness. Numerical Linear Algebra with Applications 2003; 10:401-421.
    • (2003) Numerical Linear Algebra With Applications , vol.10 , pp. 401-421
    • Chow, E.1
  • 35
    • 0003997218 scopus 로고    scopus 로고
    • MPSalsa: A finite element computer program for reacting flow problems part 1: Theoretical development
    • Technical Report SAND98-2864, Sandia National Laboratories, Albuquerque, NM, 87185, January
    • Shadid JN, Salinger AG, Schmidt RC, Hutchinson SA, Hennigan GL, Devine KD, Moffat HK. MPSalsa: a finite element computer program for reacting flow problems part 1: theoretical development. Technical Report SAND98-2864, Sandia National Laboratories, Albuquerque, NM, 87185, January 1999.
    • (1999)
    • Shadid, J.N.1    Salinger, A.G.2    Schmidt, R.C.3    Hutchinson, S.A.4    Hennigan, G.L.5    Devine, K.D.6    Moffat, H.K.7


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.