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Physics of Plasmas

Volumn 15, Issue 5, 2008, Pages

An optimal, parallel, fully implicit NewtonKrylov solver for three-dimensional viscoresistive magnetohydrodynamics

(1) Chacon L a

a LOS ALAMOS NATIONAL LABORATORY (United States)

Author keywords

[No Author keywords available]

Indexed keywords

MATHEMATICAL MODELS; NONLINEAR SYSTEMS; SCALABILITY; THREE DIMENSIONAL;

MULTIGRID METHODS; NEWTONKRYLOV SOLVER; NONLINEAR SOLVERS;

MAGNETOHYDRODYNAMICS;

EID: 44649170279 PISSN: 1070664X EISSN: None Source Type: Journal
DOI: 10.1063/1.2838244 Document Type: Article

Times cited : (110)

References (47)

1
- 0000744837
- I. Lindemuth and J. Killeen, J. Comput. Phys. 13, 181 (1973).
- (1973) J. Comput. Phys. , vol.13 , pp. 181
- Lindemuth, I.¹ Killeen, J.²

2
- 0018929621
- D. Schnack and J. Killeen, J. Comput. Phys. 35, 110 (1980).
- (1980) J. Comput. Phys. , vol.35 , pp. 110
- Schnack, D.¹ Killeen, J.²

3
- 0002861019
- D. S. Harned and W. Kerner, J. Comput. Phys. 60, 62 (1985).
- (1985) J. Comput. Phys. , vol.60 , pp. 62
- Harned, D.S.¹ Kerner, W.²

4
- 46149129711
- D. S. Harned and D. D. Schnack, J. Comput. Phys. 65, 57 (1986).
- (1986) J. Comput. Phys. , vol.65 , pp. 57
- Harned, D.S.¹ Schnack, D.D.²

5
- 0001151525
- D. D. Schnack, D. C. Barnes, D. S. Harned, and E. J. Caramana, J. Comput. Phys. 70, 330 (1987).
- (1987) J. Comput. Phys. , vol.70 , pp. 330
- Schnack, D.D.¹ Barnes, D.C.² Harned, D.S.³ Caramana, E.J.⁴

6
- 0001927168
- D. S. Harned and Z. Mikic, J. Comput. Phys. 83, 1 (1989).
- (1989) J. Comput. Phys. , vol.83 , pp. 1
- Harned, D.S.¹ Mikic, Z.²

7
- 0003027975
- D. D. Schnack, I. Lottati, Z. Mikic, and P. Satyanarayana, J. Comput. Phys. 140, 71 (1998).
- (1998) J. Comput. Phys. , vol.140 , pp. 71
- Schnack, D.D.¹ Lottati, I.² Mikic, Z.³ Satyanarayana, P.⁴

8
- 12144288048
- C. R. Sovinec, A. H. Glasser, T. A. Gianakon, D. C. Barnes, R. A. Nebel, S. E. Kruger, D. D. Schnack, S. J. Plimpton, A. Tarditi, and M. S. Chu, J. Comput. Phys. 195, 355 (2004).
- (2004) J. Comput. Phys. , vol.195 , pp. 355
- Sovinec, C.R.¹ Glasser, A.H.² Gianakon, T.A.³ Barnes, D.C.⁴ Nebel, R.A.⁵ Kruger, S.E.⁶ Schnack, D.D.⁷ Plimpton, S.J.⁸ Tarditi, A.⁹ Chu, M.S.¹⁰

9
- 44649116727
- J. Comput. Phys (submitted).
- N. F. Loureiro and G. W. Hammett, " An iterative semi-implicit scheme with robust damping.," J. Comput. Phys (submitted).
- An Iterative Semi-implicit Scheme with Robust Damping
- Loureiro, N.F.¹ Hammett, G.W.²

10
- 0001085487
- G. Tóth, R. Keppens, and M. A. Botchev, Astron. Astrophys. 332, 1159 (1998).
- (1998) Astron. Astrophys. , vol.332 , pp. 1159
- Tóth, G.¹ Keppens, R.² Botchev, M.A.³

11
- 0344172728
- R. Keppens, G. Tóth, M. A. Botchev, and A. V. D. Ploeg, Int. J. Numer. Methods Fluids 30, 335 (1999).
- (1999) Int. J. Numer. Methods Fluids , vol.30 , pp. 335
- Keppens, R.¹ Tóth, G.² Botchev, M.A.³ Ploeg, A.V.D.⁴

12
- 0011679219
- A. Y. Aydemir and D. C. Barnes, J. Comput. Phys. 59, 108 (1985).
- (1985) J. Comput. Phys. , vol.59 , pp. 108
- Aydemir, A.Y.¹ Barnes, D.C.²

13
- 0038339197
- W. Park, J. Breslau, J. Chen, G. Y. Fu, S. C. Jardin, S. Klasky, J. Menard, A. Pletzer, B. C. Stratton, D. Stutman, H. R. Strauss, and L. E. Sugiyama, Nucl. Fusion 43, 483 (2003).
- (2003) Nucl. Fusion , vol.43 , pp. 483
- Park, W.¹ Breslau, J.² Chen, J.³ Fu, G.Y.⁴ Jardin, S.C.⁵ Klasky, S.⁶ Menard, J.⁷ Pletzer, A.⁸ Stratton, B.C.⁹ Stutman, D.¹⁰ Strauss, H.R.¹¹ Sugiyama, L.E.¹²

14
- 20844442304
- S. C. Jardin and J. A. Breslau, Phys. Plasmas 12, 056101 (2005).
- (2005) Phys. Plasmas , vol.12 , pp. 056101
- Jardin, S.C.¹ Breslau, J.A.²

15
- 0003983874
- (Chapman and Hall, New York).
- J. C. Strikwerda, Finite Difference Schemes and Partial Differential Equations (Chapman and Hall, New York, 1989).
- (1989) Finite Difference Schemes and Partial Differential Equations
- Strikwerda, J.C.¹

16
- 0033101031
- A. H. Glasser, C. R. Sovinec, R. A. Nebel, T. A. Gianakon, S. J. Plimpton, M. S. Chu, and D. D. Schnack, Plasma Phys. Controlled Fusion 41, A747 (1999).
- (1999) Plasma Phys. Controlled Fusion , vol.41 , pp. 747
- Glasser, A.H.¹ Sovinec, C.R.² Nebel, R.A.³ Gianakon, T.A.⁴ Plimpton, S.J.⁵ Chu, M.S.⁶ Schnack, D.D.⁷

17
- 0037670449
- L. Chacón and D. A. Knoll, J. Comput. Phys. 188, 573 (2003).
- (2003) J. Comput. Phys. , vol.188 , pp. 573
- Chacón, L.¹ Knoll, D.A.²

18
- 0031568136
- O. S. Jones, U. Shumlak, and D. S. Eberhardt, J. Comput. Phys. 130, 231 (1997).
- (1997) J. Comput. Phys. , vol.130 , pp. 231
- Jones, O.S.¹ Shumlak, U.² Eberhardt, D.S.³

19
- 0033915107
- J. Schmalzl and U. Hansen, Phys. Earth Planet. Inter. 120, 339 (2000).
- (2000) Phys. Earth Planet. Inter. , vol.120 , pp. 339
- Schmalzl, J.¹ Hansen, U.²

20
- 85040205541
- (Taylor and Francis, New York).
- S. V. Patankar, Numerical Heat Transfer and Fluid Flow (Taylor and Francis, New York, 1980).
- (1980) Numerical Heat Transfer and Fluid Flow
- Patankar, S.V.¹

21
- 0035419550
- A. M. Popov, V. S. Chan, M. S. Chu, Y. Q. Liu, B. W. Rice, and A. D. Turnbull, Phys. Plasmas 8, 3605 (2001).
- (2001) Phys. Plasmas , vol.8 , pp. 3605
- Popov, A.M.¹ Chan, V.S.² Chu, M.S.³ Liu, Y.Q.⁴ Rice, B.W.⁵ Turnbull, A.D.⁶

22
- 0003554096
- (PWS, Boston).
- Y. Saad, Iterative Methods for Sparse Linear Systems (PWS, Boston, 1996).
- (1996) Iterative Methods for Sparse Linear Systems
- Saad, Y.¹

23
- 0009062320
- A. Hujeirat, Mon. Not. R. Astron. Soc. 298, 310 (1998).
- (1998) Mon. Not. R. Astron. Soc. , vol.298 , pp. 310
- Hujeirat, A.¹

24
- 0001425696
- A. Hujeirat and R. Rannacher, New Astron. Rev. 45, 425 (2001).
- (2001) New Astron. Rev. , vol.45 , pp. 425
- Hujeirat, A.¹ Rannacher, R.²

25
- 33749056084
- D. R. Reynolds, R. Samtaney, and C. S. Woodward, J. Comput. Phys. 219, 144 (2006).
- (2006) J. Comput. Phys. , vol.219 , pp. 144
- Reynolds, D.R.¹ Samtaney, R.² Woodward, C.S.³

26
- 34547548068
- S. Ovtchinnikov, F. Dobrian, X.-C. Cai, and D. Keyes, J. Comput. Phys. 225, 1919 (2007).
- (2007) J. Comput. Phys. , vol.225 , pp. 1919
- Ovtchinnikov, S.¹ Dobrian, F.² Cai, X.-C.³ Keyes, D.⁴

27
- 0036570561
- L. Chacón, D. A. Knoll, and J. M. Finn, J. Comput. Phys. 178, 15 (2002).
- (2002) J. Comput. Phys. , vol.178 , pp. 15
- Chacón, L.¹ Knoll, D.A.² Finn, J.M.³

28
- 0032527428
- A. Hujeirat and R. Rannacher, Int. J. Numer. Methods Fluids 28, 1 (1998).
- (1998) Int. J. Numer. Methods Fluids , vol.28 , pp. 1
- Hujeirat, A.¹ Rannacher, R.²

29
- 44649171232
- SIAM J. Sci. Comput. (submitted).
- D. R. Reynolds, R. Samtaney, and C. S. Woodward, " Operator-based preconditioning of stiff hyperbolic MHD systems.," SIAM J. Sci. Comput. (submitted).
- Operator-based Preconditioning of Stiff Hyperbolic MHD Systems
- Reynolds, D.R.¹ Samtaney, R.² Woodward, C.S.³

30
- 0001651643
- T. F. Chan and K. R. Jackson, SIAM (Soc. Ind. Appl. Math.) J. Sci. Stat. Comput. 5, 533 (1984).
- (1984) SIAM (Soc. Ind. Appl. Math.) J. Sci. Stat. Comput. , vol.5 , pp. 533
- Chan, T.F.¹ Jackson, K.R.²

31
- 0000977352
- P. N. Brown and Y. Saad, SIAM (Soc. Ind. Appl. Math.) J. Sci. Stat. Comput. 11, 450 (1990).
- (1990) SIAM (Soc. Ind. Appl. Math.) J. Sci. Stat. Comput. , vol.11 , pp. 450
- Brown, P.N.¹ Saad, Y.²

32
- 0000048673
- Y. Saad and M. Schultz, SIAM (Soc. Ind. Appl. Math.) J. Sci. Stat. Comput. 7, 856 (1986).
- (1986) SIAM (Soc. Ind. Appl. Math.) J. Sci. Stat. Comput. , vol.7 , pp. 856
- Saad, Y.¹ Schultz, M.²

33
- 0000954680
- Y. Saad, SIAM J. Sci. Comput. (USA) 14, 461 (1993).
- (1993) SIAM J. Sci. Comput. (USA) , vol.14 , pp. 461
- Saad, Y.¹

34
- 44649195316
- Technical Report No. ANL-95/11, Revision 2.1.5, Argonne National Laboratory.
- S. Balay, K. Buschelman, V. Eijkhout, W. D. Gropp, D. Kaushik, M. G. Knepley, L. C. McInnes, B. F. Smith, and H. Zhang, Technical Report No. ANL-95/11, Revision 2.1.5, Argonne National Laboratory (2004).
- (2004)
- Balay, S.¹ Buschelman, K.² Eijkhout, V.³ Gropp, W.D.⁴ Kaushik, D.⁵ Knepley, M.G.⁶ McInnes, L.C.⁷ Smith, B.F.⁸ Zhang, H.⁹

35
- 0002515487
- in, edited by E. Arge, A. M. Bruaset, and H. P. Langtangen (Birkhäuser, Berlin)
- S. Balay, V. Eijkhout, W. D. Gropp, L. C. McInnes, and B. F. Smith, in Modern Software Tools in Scientific Computing, edited by, E. Arge, A. M. Bruaset, and, H. P. Langtangen, (Birkhäuser, Berlin, 1997), pp. 163-202.
- (1997) Modern Software Tools in Scientific Computing , pp. 163-202
- Balay, S.¹ Eijkhout, V.² Gropp, W.D.³ McInnes, L.C.⁴ Smith, B.F.⁵

36
- 44649132215
- PETSc Web page.
- S. Balay, K. Buschelman, W. D. Gropp, D. Kaushik, M. G. Knepley, L. C. McInnes, B. F. Smith, and H. Zhang, PETSc Web page, http://www.mcs.anl.gov/petsc (2001).
- (2001)
- Balay, S.¹ Buschelman, K.² Gropp, W.D.³ Kaushik, D.⁴ Knepley, M.G.⁵ McInnes, L.C.⁶ Smith, B.F.⁷ Zhang, H.⁸

37
- 0004278048
- (Springer-Verlag, Berlin).
- T. H. Stix, Waves in Plasmas (Springer-Verlag, Berlin, 1992).
- (1992) Waves in Plasmas
- Stix, T.H.¹

38
- 7544229768
- L. Chacón, Comput. Phys. Commun. 163, 143 (2004).
- (2004) Comput. Phys. Commun. , vol.163 , pp. 143
- Chacón, L.¹

39
- 0004155392
- (SIAM, Philadelphia).
- C. T. Kelley, Iterative Methods for Linear and Nonlinear Equations (SIAM, Philadelphia, 1995).
- (1995) Iterative Methods for Linear and Nonlinear Equations
- Kelley, C.T.¹

40
- 0000746005
- R. Dembo, S. Eisenstat, and R. Steihaug, SIAM (Soc. Ind. Appl. Math.) J. Numer. Anal. 19, 400 (1982).
- (1982) SIAM (Soc. Ind. Appl. Math.) J. Numer. Anal. , vol.19 , pp. 400
- Dembo, R.¹ Eisenstat, S.² Steihaug, R.³

41
- 0348198275
- D. A. Knoll and D. E. Keyes, J. Comput. Phys. 193, 357 (2004).
- (2004) J. Comput. Phys. , vol.193 , pp. 357
- Knoll, D.A.¹ Keyes, D.E.²

42
- 0004185470
- (SIAM, Philadelphia).
- W. L. Briggs, A Multigrid Tutorial (SIAM, Philadelphia, 1987).
- (1987) A Multigrid Tutorial
- Briggs, W.L.¹

43
- 0004330846
- (Wiley, Chichester).
- P. Wesseling, An Introduction to Multigrid Methods (Wiley, Chichester, 1992).
- (1992) An Introduction to Multigrid Methods
- Wesseling, P.¹

44
- 0009022528
- E. J. Caramana, J. Comput. Phys. 96, 484 (1991).
- (1991) J. Comput. Phys. , vol.96 , pp. 484
- Caramana, E.J.¹

45
- 0001680948
- V. M. Fadeev, I. F. Kvartskhava, and N. N. Komarov, Nucl. Fusion 5, 202 (1965).
- (1965) Nucl. Fusion , vol.5 , pp. 202
- Fadeev, V.M.¹ Kvartskhava, I.F.² Komarov, N.N.³

46
- 36749117897
- J. M. Finn and P. K. Kaw, Phys. Fluids 20, 72 (1977).
- (1977) Phys. Fluids , vol.20 , pp. 72
- Finn, J.M.¹ Kaw, P.K.²

47
- 33750049849
- H. P. Furth, J. Killeen, and M. N. Rosenbluth, Phys. Fluids 6, 459 (1963).
- (1963) Phys. Fluids , vol.6 , pp. 459
- Furth, H.P.¹ Killeen, J.² Rosenbluth, M.N.³

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