메뉴 건너뛰기




Volumn 221, Issue 1, 2007, Pages 349-369

An interior penalty Galerkin method for the MHD equations in heterogeneous domains

Author keywords

Discontinuous Galerkin; Dynamo action; Finite elements; Magnetohydrodynamics

Indexed keywords

FINITE ELEMENT METHOD; GALERKIN METHODS; INTERACTIVE DEVICES; MAXWELL EQUATIONS;

EID: 33846146338     PISSN: 00219991     EISSN: 10902716     Source Type: Journal    
DOI: 10.1016/j.jcp.2006.06.045     Document Type: Article
Times cited : (59)

References (24)
  • 1
    • 0033450251 scopus 로고    scopus 로고
    • A mathematical justification of the low-frequency heterogeneous time-harmonic Maxwell equations
    • Alonso A. A mathematical justification of the low-frequency heterogeneous time-harmonic Maxwell equations. Math. Models Methods Appl. Sci. 9 3 (1999) 475-489
    • (1999) Math. Models Methods Appl. Sci. , vol.9 , Issue.3 , pp. 475-489
    • Alonso, A.1
  • 2
    • 0001163226 scopus 로고
    • An interior penalty finite element method with discontinuous elements
    • Arnold D.N. An interior penalty finite element method with discontinuous elements. SIAM J. Numer. Anal 19 (1982) 742-760
    • (1982) SIAM J. Numer. Anal , vol.19 , pp. 742-760
    • Arnold, D.N.1
  • 3
    • 84904152686 scopus 로고
    • Finite element methods for elliptic equations using nonconforming elements
    • Baker G.A. Finite element methods for elliptic equations using nonconforming elements. Math. Comp. 31 137 (1977) 45-59
    • (1977) Math. Comp. , vol.31 , Issue.137 , pp. 45-59
    • Baker, G.A.1
  • 4
    • 0023979171 scopus 로고
    • Magnetostatic problems in multiply connected regions: some properties of the curl operators
    • Bossavit A. Magnetostatic problems in multiply connected regions: some properties of the curl operators. Proc. Inst. Elec. Eng. 135 (1988) 179-187
    • (1988) Proc. Inst. Elec. Eng. , vol.135 , pp. 179-187
    • Bossavit, A.1
  • 5
    • 0002210455 scopus 로고
    • The computation of eddy-currents, in dimension 3, by using mixed finite elements and boundary elements in association
    • Bossavit A. The computation of eddy-currents, in dimension 3, by using mixed finite elements and boundary elements in association. Math. Comput. Modelling 15 3-5 (1991) 33-42
    • (1991) Math. Comput. Modelling , vol.15 , Issue.3-5 , pp. 33-42
    • Bossavit, A.1
  • 6
    • 33846162878 scopus 로고    scopus 로고
    • Academic Press, New York
    • Bossavit A. Computational Electromagnetism, Variational Formulations, Complementary, Edge Elements. Electromagnetism vol. 2 (1998), Academic Press, New York
    • (1998) Electromagnetism , vol.2
    • Bossavit, A.1
  • 7
    • 85190131311 scopus 로고    scopus 로고
    • R. Bramley, X. Wang, Splib: a library of iterative methods for sparse linear system. Technical Report, Indiana University - Bloomington, Bloomington, IN 47405, 1995.
  • 9
    • 0344393366 scopus 로고    scopus 로고
    • The local discontinuous Galerkin method for time-dependent convection-diffusion systems
    • Cockburn B., and Shu C.W. The local discontinuous Galerkin method for time-dependent convection-diffusion systems. SIAM J. Numer. Anal. 35 (1998) 2440-2463
    • (1998) SIAM J. Numer. Anal. , vol.35 , pp. 2440-2463
    • Cockburn, B.1    Shu, C.W.2
  • 10
    • 0000152459 scopus 로고
    • A coercive bilinear form for Maxwell's equations
    • Costabel M. A coercive bilinear form for Maxwell's equations. J. Math. Anal. Appl. 157 2 (1991) 527-541
    • (1991) J. Math. Anal. Appl. , vol.157 , Issue.2 , pp. 527-541
    • Costabel, M.1
  • 11
    • 37649030691 scopus 로고    scopus 로고
    • Screw dynamo in a time-dependent pipe flow
    • Dobler W., Frick P., and Stepanov R. Screw dynamo in a time-dependent pipe flow. Phys. Rev. E 67 (2003) 056309
    • (2003) Phys. Rev. E , vol.67 , pp. 056309
    • Dobler, W.1    Frick, P.2    Stepanov, R.3
  • 12
    • 0038521126 scopus 로고    scopus 로고
    • Modeling of thin insulating layers with 3D magnetodynamic formulations
    • Dular P., and Geuzaine C. Modeling of thin insulating layers with 3D magnetodynamic formulations. IEEE Trans. Magn. 39 (2003) 1139-1142
    • (2003) IEEE Trans. Magn. , vol.39 , pp. 1139-1142
    • Dular, P.1    Geuzaine, C.2
  • 14
    • 3042737626 scopus 로고    scopus 로고
    • A new finite element method for magneto-dynamical problems: two-dimensional results
    • Guermond J.-L., Léorat J., and Nore C. A new finite element method for magneto-dynamical problems: two-dimensional results. Eur. J. Mech./Fluids 22 (2003) 555-579
    • (2003) Eur. J. Mech./Fluids , vol.22 , pp. 555-579
    • Guermond, J.-L.1    Léorat, J.2    Nore, C.3
  • 15
    • 0036337414 scopus 로고    scopus 로고
    • Mixed finite element approximation of an MHD problem involving conducting and insulating regions: the 2D case
    • Guermond J.-L., and Minev P.D. Mixed finite element approximation of an MHD problem involving conducting and insulating regions: the 2D case. Modél. Math. Anal. Numer. (M2AN) 36 3 (2002) 517-536
    • (2002) Modél. Math. Anal. Numer. (M2AN) , vol.36 , Issue.3 , pp. 517-536
    • Guermond, J.-L.1    Minev, P.D.2
  • 16
    • 0242308992 scopus 로고    scopus 로고
    • Mixed finite element approximation of an MHD problem involving conducting and insulating regions: the 3D case
    • Guermond J.-L., and Minev P.D. Mixed finite element approximation of an MHD problem involving conducting and insulating regions: the 3D case. Numer. Methods Partial Differential Eq. 19 6 (2003) 709-731
    • (2003) Numer. Methods Partial Differential Eq. , vol.19 , Issue.6 , pp. 709-731
    • Guermond, J.-L.1    Minev, P.D.2
  • 17
    • 3242735469 scopus 로고    scopus 로고
    • An integro-differential formulation for magnetic induction in bounded domains: boundary element-finite volume method
    • Iskakov A.B., Descombes S., and Dormy E. An integro-differential formulation for magnetic induction in bounded domains: boundary element-finite volume method. J. Comput. Phys. 197 2 (2004) 540-554
    • (2004) J. Comput. Phys. , vol.197 , Issue.2 , pp. 540-554
    • Iskakov, A.B.1    Descombes, S.2    Dormy, E.3
  • 19
    • 85190141086 scopus 로고    scopus 로고
    • R. Laguerre, C. Nore J. Léorat, J.-L. Guermond, Effects of conductivity jumps in the envelope of a kinematic dynamo flow, C. R. Mécanique, in press.
  • 20
    • 85190103651 scopus 로고    scopus 로고
    • R. Laguerre, C. Nore, J. Léorat, J.-L. Guermond, Induction effects in isolated axisymmetric conductors using a new finite element method, in: D. Carati, B. Knaepen (Eds.), Proceedings of the Bruxelles ULB MHD Workshop, Bruxelles, July 2005.
  • 23
    • 0037791984 scopus 로고    scopus 로고
    • The hp-local discontinuous Galerkin method for low-frequency time-harmonic Maxwell equations
    • (electronic)
    • Perugia I., and Schötzau D. The hp-local discontinuous Galerkin method for low-frequency time-harmonic Maxwell equations. Math. Comp. 72 243 (2003) 1179-1214 (electronic)
    • (2003) Math. Comp. , vol.72 , Issue.243 , pp. 1179-1214
    • Perugia, I.1    Schötzau, D.2
  • 24
    • 0001409698 scopus 로고
    • Efficient unstructured mesh generation by means of Delaunay triangulation and Bowyer-Watson algorithm
    • Rebay S. Efficient unstructured mesh generation by means of Delaunay triangulation and Bowyer-Watson algorithm. J. Comput. Phys. 106 (1993) 125-138
    • (1993) J. Comput. Phys. , vol.106 , pp. 125-138
    • Rebay, S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.