메뉴 건너뛰기




Volumn 207, Issue 1, 2005, Pages 354-374

A multigrid preconditioner and automatic differentiation for non-equilibrium radiation diffusion problems

Author keywords

Automatic differentiation; Multigrid method; Newton Krylov method; Non equilibrium radiation diffusion; Preconditioning

Indexed keywords

DIFFUSION; JACOBIAN MATRICES; NON NEWTONIAN FLOW; RUNGE KUTTA METHODS;

EID: 18344378782     PISSN: 00219991     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jcp.2005.01.032     Document Type: Article
Times cited : (7)

References (29)
  • 2
    • 0002404123 scopus 로고    scopus 로고
    • An efficient nonlinear solution method for non-equilibrium radiation diffusion
    • D.A. Knoll W.J. Rider G.L. Olson An efficient nonlinear solution method for non-equilibrium radiation diffusion J. Quant. Spectros. Radiat. Transfer 63 1999 15-29
    • (1999) J. Quant. Spectros. Radiat. Transfer , vol.63 , pp. 15-29
    • Knoll, D.A.1    Rider, W.J.2    Olson, G.L.3
  • 3
    • 0001481696 scopus 로고    scopus 로고
    • Time step size selection for radiation diffusion calculations
    • W.J. Rider D.A. Knoll Time step size selection for radiation diffusion calculations J. Comput. Phys. 152 1999 790-795
    • (1999) J. Comput. Phys. , vol.152 , pp. 790-795
    • Rider, W.J.1    Knoll, D.A.2
  • 4
    • 0000748933 scopus 로고    scopus 로고
    • A multigrid Newton-Krylov method for multimaterial equilibrium radiation diffusion
    • W.J. Rider D.A. Knoll G.L. Olson A multigrid Newton-Krylov method for multimaterial equilibrium radiation diffusion J. Comput. Phys. 152 1999 164-191
    • (1999) J. Comput. Phys. , vol.152 , pp. 164-191
    • Rider, W.J.1    Knoll, D.A.2    Olson, G.L.3
  • 5
    • 0000109908 scopus 로고    scopus 로고
    • Physics-based preconditioning and the Newton-Krylov method for non-equilibrium radiation diffusion
    • V.A. Mousseau D.A. Knoll W.J. Rider Physics-based preconditioning and the Newton-Krylov method for non-equilibrium radiation diffusion J. Comput. Phys. 160 2000 743-765
    • (2000) J. Comput. Phys. , vol.160 , pp. 743-765
    • Mousseau, V.A.1    Knoll, D.A.2    Rider, W.J.3
  • 6
    • 0036231313 scopus 로고    scopus 로고
    • Preconditioning strategies for fully implicit radiation diffusion with material-energy transfer
    • P.N. Brown C.S. Woodward Preconditioning strategies for fully implicit radiation diffusion with material-energy transfer SIAM J. Sci. Comput. 23 2001 499-516
    • (2001) SIAM J. Sci. Comput. , vol.23 , pp. 499-516
    • Brown, P.N.1    Woodward, C.S.2
  • 7
    • 0343773104 scopus 로고    scopus 로고
    • Nonlinear convergence, accuracy, and time step control in nonequilibrium radiation diffusion
    • D.A. Knoll W.J. Rider G.L. Olson Nonlinear convergence, accuracy, and time step control in nonequilibrium radiation diffusion J. Quant. Spectros. Radiat. Transfer 70 2001 25-36
    • (2001) J. Quant. Spectros. Radiat. Transfer , vol.70 , pp. 25-36
    • Knoll, D.A.1    Rider, W.J.2    Olson, G.L.3
  • 8
    • 0036156397 scopus 로고    scopus 로고
    • An assesment of linear versus nonlinear multigrid methods for unstructured mesh solvers
    • D.J. Mavriplis An assesment of linear versus nonlinear multigrid methods for unstructured mesh solvers J. Comput. Phys. 175 2002 302-325
    • (2002) J. Comput. Phys. , vol.175 , pp. 302-325
    • Mavriplis, D.J.1
  • 9
    • 2342525951 scopus 로고    scopus 로고
    • 1 nonconforming finite element multigrid method for radiation transport
    • 1 nonconforming finite element multigrid method for radiation transport SIAM J. Sci. Comput. 25 2003 369-384
    • (2003) SIAM J. Sci. Comput. , vol.25 , pp. 369-384
    • Kang, K.S.1
  • 10
    • 2942597843 scopus 로고    scopus 로고
    • Comparison of non-linear solvers for the solution of radiation transport equations
    • L. Stals Comparison of non-linear solvers for the solution of radiation transport equations Electron. Trans. Numer. Anal. 15 2003 78-93
    • (2003) Electron. Trans. Numer. Anal. , vol.15 , pp. 78-93
    • Stals, L.1
  • 11
    • 0042858337 scopus 로고    scopus 로고
    • New physics-based preconditioning of implicit methods for non-equilibrium radiation diffusion
    • V.A. Mousseau D.A. Knoll New physics-based preconditioning of implicit methods for non-equilibrium radiation diffusion J. Comput. Phys. 190 2003 42-51
    • (2003) J. Comput. Phys. , vol.190 , pp. 42-51
    • Mousseau, V.A.1    Knoll, D.A.2
  • 12
    • 85190147945 scopus 로고    scopus 로고
    • Performance of a Newton-Krylov-FAC method for equilibrium radiation diffusion on locally refined grids
    • Talk in the Eighth Copper Mountain Conference on Iterative Methods, Copper Mountain, CO
    • M. Pernice, Performance of a Newton-Krylov-FAC method for equilibrium radiation diffusion on locally refined grids, Talk in the Eighth Copper Mountain Conference on Iterative Methods, Copper Mountain, CO (2004)
    • (2004)
    • Pernice, M.1
  • 13
    • 1442332730 scopus 로고    scopus 로고
    • Studies on the accuracy of time-integration methods for the radiation-diffusion equations
    • C.C. Ober J.N. Shadid Studies on the accuracy of time-integration methods for the radiation-diffusion equations J. Comput. Phys. 195 2004 743-772
    • (2004) J. Comput. Phys. , vol.195 , pp. 743-772
    • Ober, C.C.1    Shadid, J.N.2
  • 14
    • 1842817865 scopus 로고    scopus 로고
    • A comparison of implicit time integration methods for nonlinear relaxation and diffusion
    • R.B. Lowrie A comparison of implicit time integration methods for nonlinear relaxation and diffusion J. Comput. Phys. 196 2004 566-590
    • (2004) J. Comput. Phys. , vol.196 , pp. 566-590
    • Lowrie, R.B.1
  • 15
    • 0348198275 scopus 로고    scopus 로고
    • Jacobian-free Newton-Krylov methods: A survey of approaches and applications
    • D.A. Knoll D.E. Keyes Jacobian-free Newton-Krylov methods: A survey of approaches and applications J. Comput. Phys. 193 2004 357-397
    • (2004) J. Comput. Phys. , vol.193 , pp. 357-397
    • Knoll, D.A.1    Keyes, D.E.2
  • 16
    • 0000048673 scopus 로고
    • GMRES: A generalized minimal residual algorithm for solving nonsymmetric linear systems
    • Y. Saad M.H. Schultz GMRES: A generalized minimal residual algorithm for solving nonsymmetric linear systems SIAM J. Sci. Statist. Comput. 7 1986 856-869
    • (1986) SIAM J. Sci. Statist. Comput. , vol.7 , pp. 856-869
    • Saad, Y.1    Schultz, M.H.2
  • 21
    • 38249041117 scopus 로고
    • Black box multigrid for systems
    • J.E. Dendy Jr. Black box multigrid for systems Appl. Math. Comput. 19 1986 57-74
    • (1986) Appl. Math. Comput. , vol.19 , pp. 57-74
    • Dendy Jr., J.E.1
  • 24
    • 0036374095 scopus 로고    scopus 로고
    • Automatic differentiation for solving nonlinear partial differential equations: An efficient operator overloading approach
    • E. Tijskens D. Roose H. Ramon J. De Baerdemaeker Automatic differentiation for solving nonlinear partial differential equations: An efficient operator overloading approach Numer. Algorithms 30 2002 259-301
    • (2002) Numer. Algorithms , vol.30 , pp. 259-301
    • Tijskens, E.1    Roose, D.2    Ramon, H.3    De Baerdemaeker, J.4
  • 27
    • 0003455090 scopus 로고    scopus 로고
    • Solving Ordinary Differential Equations. II: Stiff and differential-algebraic problems second ed. Berlin: Springer-Verlag
    • E. Hairer G. Wanner Solving Ordinary Differential Equations. II: Stiff and differential-algebraic problems second ed. Springer Series in Computational Mathematics Vol. 14 1996 Springer-Verlag Berlin
    • (1996) Springer Series in Computational Mathematics , vol.14
    • Hairer, E.1    Wanner, G.2
  • 28
    • 0021451311 scopus 로고
    • Two new finite difference schemes for parabolic equations
    • J.R. Cash Two new finite difference schemes for parabolic equations SIAM J. Numer. Anal. 21 1984 433-446
    • (1984) SIAM J. Numer. Anal. , vol.21 , pp. 433-446
    • Cash, J.R.1
  • 29
    • 67649646329 scopus 로고    scopus 로고
    • Finite Element Methods for Incompressible Viscous Flow
    • North-Holland Amsterdam
    • R. Glowinski Finite Element Methods for Incompressible Viscous Flow Handbook of Numerical Analysis vol. IX 2003 North-Holland Amsterdam
    • (2003) Handbook of Numerical Analysis , vol.9
    • Glowinski, R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.