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Volumn 41, Issue 3, 1998, Pages 499-526

A study of incorporating the multigrid method into the three-dimensional finite element discretization: a modular setting and application

Author keywords

Finite element discretization; Grid generation; Matrix consistency; Multigrid method

Indexed keywords

APPROXIMATION THEORY; COMPUTATIONAL FLUID DYNAMICS; COMPUTER SIMULATION; FLOW OF FLUIDS; MATRIX ALGEBRA; TRANSPORT PROPERTIES;

EID: 0032003352     PISSN: 00295981     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1097-0207(19980215)41:3<499::AID-NME295>3.0.CO;2-3     Document Type: Article
Times cited : (4)

References (14)
  • 1
    • 11344250947 scopus 로고
    • Notes on Numerical Fluid Mechanics, Vieweg, Braunschweig
    • W. Hackbusch (ed.), Efficient Solvers for Elliptic Systems, Notes on Numerical Fluid Mechanics, Vol. 10, Vieweg, Braunschweig, 1984.
    • (1984) Efficient Solvers for Elliptic Systems , vol.10
    • Hackbusch, W.1
  • 3
    • 84966233568 scopus 로고
    • Multi-level adaptive solutions to boundary-value problems
    • A. Brandt, 'Multi-level adaptive solutions to boundary-value problems'. Math. Comput., 31, 333-390 (1977).
    • (1977) Math. Comput. , vol.31 , pp. 333-390
    • Brandt, A.1
  • 5
    • 38249006666 scopus 로고
    • A parallel multigrid for history-dependent elastoplasticity computations
    • S. Kacou and I. D. Parsons, 'A parallel multigrid for history-dependent elastoplasticity computations', Comput. Methods Appl. Mech. Engng., 108, 1-21 (1993).
    • (1993) Comput. Methods Appl. Mech. Engng. , vol.108 , pp. 1-21
    • Kacou, S.1    Parsons, I.D.2
  • 6
    • 0028762585 scopus 로고
    • Parallel implementation and performance of multigrid algorithms for solving eigenvalue problems
    • T. Hwang, and I. D. Parsons, 'Parallel implementation and performance of multigrid algorithms for solving eigenvalue problems', Comput. Struct., 50, 325-336 (1994).
    • (1994) Comput. Struct. , vol.50 , pp. 325-336
    • Hwang, T.1    Parsons, I.D.2
  • 7
    • 0004185470 scopus 로고
    • The Society for Industrial and Applied Mathematics, Lancaster Press, Lancaster, Pennsylvania
    • W. L. Briggs, A Multigrid Tutorial, The Society for Industrial and Applied Mathematics, Lancaster Press, Lancaster, Pennsylvania, 1987.
    • (1987) A Multigrid Tutorial
    • Briggs, W.L.1
  • 8
    • 85034470313 scopus 로고
    • 3DMGWATER/3DMGWASTE. a 3-D finite element model of water flow and a 3-D hybrid Lagrangian-Eulerian finite element model of WASTE transport through saturated-unsaturated porous media: Multigrid version
    • U. S. Environmental Protection Agency, Athens, GA 30613, Department of Civil Engineering, The Pennsylvania State University, University Park, PA 16802
    • G. T. Yeh, H. P. Cheng, H. Wang and R. Carmel, '3DMGWATER/3DMGWASTE. a 3-D finite element model of water flow and a 3-D hybrid Lagrangian-Eulerian finite element model of WASTE transport through saturated-unsaturated porous media: multigrid version', A Final Research Report to the Environmental Research Laboratory, U. S. Environmental Protection Agency, Athens, GA 30613, Department of Civil Engineering, The Pennsylvania State University, University Park, PA 16802, 1995.
    • (1995) A Final Research Report to the Environmental Research Laboratory
    • Yeh, G.T.1    Cheng, H.P.2    Wang, H.3    Carmel, R.4
  • 9
    • 0004032483 scopus 로고
    • Multi-level iterative techniques
    • Ph.D. Thesis, Dept. of Math., The Pennsylvania State University, University Park, PA 16802
    • S. Zhang, 'Multi-level iterative techniques', Ph.D. Thesis, Research Report no. 88020, Dept. of Math., The Pennsylvania State University, University Park, PA 16802, 1988.
    • (1988) Research Report No. 88020
    • Zhang, S.1
  • 12
    • 0004235054 scopus 로고
    • Technical Report, Department of Mathematics, The Pennsylvania State University, University Park, PA 16802
    • J. Xu, 'Theory of Multilevel Methods', Technical Report, Department of Mathematics, The Pennsylvania State University, University Park, PA 16802, 1989.
    • (1989) Theory of Multilevel Methods
    • Xu, J.1
  • 13
    • 0000570696 scopus 로고
    • Iterative methods by space decomposition and subspace correction
    • J. Xu, 'Iterative methods by space decomposition and subspace correction', SIAM Rev., 34, 581-613 (1992).
    • (1992) SIAM Rev. , vol.34 , pp. 581-613
    • Xu, J.1
  • 14
    • 0030128246 scopus 로고    scopus 로고
    • A Lagrangian-Eulerian method with adaptive local zooming and peak/valley capturing approach to solve two-dimensional advection diffusion transport equations
    • J. R. Cheng, H. P. Cheng and G. T. Yeh, 'A Lagrangian-Eulerian method with adaptive local zooming and peak/valley capturing approach to solve two-dimensional advection diffusion transport equations', Int. J. Numer. Meth. Engng., 39, 1115-1136 (1996).
    • (1996) Int. J. Numer. Meth. Engng. , vol.39 , pp. 1115-1136
    • Cheng, J.R.1    Cheng, H.P.2    Yeh, G.T.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.