메뉴 건너뛰기




Volumn 225, Issue 1, 2007, Pages 363-381

An adaptive finite element method for magnetohydrodynamics

Author keywords

Adaptive h refinement; Incompressible MHD; Stabilized finite element formulation

Indexed keywords

ERRORS; FINITE ELEMENT METHOD; NUMERICAL METHODS; PIECEWISE LINEAR TECHNIQUES;

EID: 34447293772     PISSN: 00219991     EISSN: 10902716     Source Type: Journal    
DOI: 10.1016/j.jcp.2006.12.010     Document Type: Article
Times cited : (25)

References (29)
  • 1
    • 0011587765 scopus 로고    scopus 로고
    • An adaptive finite element method for magnetohydrodynamics
    • Strauss H.R., and Longcope D.W. An adaptive finite element method for magnetohydrodynamics. J. Comput. Phys. 147 (1998) 318-336
    • (1998) J. Comput. Phys. , vol.147 , pp. 318-336
    • Strauss, H.R.1    Longcope, D.W.2
  • 2
    • 0000774680 scopus 로고
    • The coalescence instability and the development of current sheets in two-dimensional magnetohydrodynamics
    • Longcope D.W., and Strauss H.R. The coalescence instability and the development of current sheets in two-dimensional magnetohydrodynamics. Phys. Fluids B 8 (1993) 2858-2869
    • (1993) Phys. Fluids B , vol.8 , pp. 2858-2869
    • Longcope, D.W.1    Strauss, H.R.2
  • 3
    • 0003027975 scopus 로고    scopus 로고
    • A finite-volume algorithm for three dimensional magnetohydrodynamics on an unstructured, adaptive grid in axially symmetric geometry
    • Schnack D.D., Lottati I., Mikic Z., and Satyanarayana P. A finite-volume algorithm for three dimensional magnetohydrodynamics on an unstructured, adaptive grid in axially symmetric geometry. J. Comput. Phys. 140 (1998) 71-121
    • (1998) J. Comput. Phys. , vol.140 , pp. 71-121
    • Schnack, D.D.1    Lottati, I.2    Mikic, Z.3    Satyanarayana, P.4
  • 4
    • 0010824305 scopus 로고
    • Nonlinear saturation of the internal kink mode
    • Park W., Monticello D.A., White R.B., and Jardin S.C. Nonlinear saturation of the internal kink mode. Nucl. Fusion 20 9 (1980) 1181-1185
    • (1980) Nucl. Fusion , vol.20 , Issue.9 , pp. 1181-1185
    • Park, W.1    Monticello, D.A.2    White, R.B.3    Jardin, S.C.4
  • 5
    • 0031161659 scopus 로고    scopus 로고
    • Adaptive mesh refinement for singular current sheets in incompressible magnetohydrodynamic flows
    • Friedal H., Grauer R., and Marliani C. Adaptive mesh refinement for singular current sheets in incompressible magnetohydrodynamic flows. J. Comput. Phys. 134 (1997) 190-198
    • (1997) J. Comput. Phys. , vol.134 , pp. 190-198
    • Friedal, H.1    Grauer, R.2    Marliani, C.3
  • 6
    • 4544331648 scopus 로고    scopus 로고
    • A triangular finite element with first-derivative continuity applied to fusion MHD applications
    • Jardin S.C. A triangular finite element with first-derivative continuity applied to fusion MHD applications. J. Comput. Phys. 200 (2004) 133
    • (2004) J. Comput. Phys. , vol.200 , pp. 133
    • Jardin, S.C.1
  • 7
    • 0000871598 scopus 로고
    • Integrated space-time adaptive hp-refinement methods for parabolic systems
    • Flaherty J.E., and Moore P.K. Integrated space-time adaptive hp-refinement methods for parabolic systems. Appl. Numer. Math. 16 (1995) 317-341
    • (1995) Appl. Numer. Math. , vol.16 , pp. 317-341
    • Flaherty, J.E.1    Moore, P.K.2
  • 8
    • 0019607241 scopus 로고
    • Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations
    • Brooks A.N., and Hughes T.J.R. Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations. Comp. Meth. Appl. Mech. Eng. 32 (1982) 199-259
    • (1982) Comp. Meth. Appl. Mech. Eng. , vol.32 , pp. 199-259
    • Brooks, A.N.1    Hughes, T.J.R.2
  • 9
    • 0020259662 scopus 로고
    • A theoretical framework for Petrov-Galerkin methods with discontinuous weighting functions: application to the streamline upwind procedure
    • Wiley
    • Hughes T.J.R., and Brooks A. A theoretical framework for Petrov-Galerkin methods with discontinuous weighting functions: application to the streamline upwind procedure. Finite Elements in Fluids vol. 4 (1982), Wiley 47-65
    • (1982) Finite Elements in Fluids , vol.4 , pp. 47-65
    • Hughes, T.J.R.1    Brooks, A.2
  • 10
    • 0029289813 scopus 로고
    • High-order finite element methods for singularly perturbed elliptic and parabolic problems
    • Adjerid S., Aiffa M., and Flaherty J.E. High-order finite element methods for singularly perturbed elliptic and parabolic problems. SIAM J. Appl. Math. 55 2 (1995) 520-543
    • (1995) SIAM J. Appl. Math. , vol.55 , Issue.2 , pp. 520-543
    • Adjerid, S.1    Aiffa, M.2    Flaherty, J.E.3
  • 11
    • 0003201205 scopus 로고    scopus 로고
    • Computational methods for singularly perturbed systems
    • Adjerid S., Aiffa M., and Flaherty J.E. Computational methods for singularly perturbed systems. Proc. Symp. Appl. Math. 56 (1999) 47-83
    • (1999) Proc. Symp. Appl. Math. , vol.56 , pp. 47-83
    • Adjerid, S.1    Aiffa, M.2    Flaherty, J.E.3
  • 12
    • 0018056277 scopus 로고
    • A simple scheme for developing 'upwind' finite elements
    • Hughes T.J.R. A simple scheme for developing 'upwind' finite elements. Int. J. Numer. Meth. Eng. 12 (1978) 1359-1365
    • (1978) Int. J. Numer. Meth. Eng. , vol.12 , pp. 1359-1365
    • Hughes, T.J.R.1
  • 13
    • 45149144830 scopus 로고
    • A new finite element formulation for computational fluid dynamics: VIII. The Galerkin/least-squares method for advective-diffusive equations
    • Hughes T.J.R., Franca L.P., and Hulbert G.M. A new finite element formulation for computational fluid dynamics: VIII. The Galerkin/least-squares method for advective-diffusive equations. Comp. Meth. Appl. Mech. Eng. 73 (1989) 173-189
    • (1989) Comp. Meth. Appl. Mech. Eng. , vol.73 , pp. 173-189
    • Hughes, T.J.R.1    Franca, L.P.2    Hulbert, G.M.3
  • 14
    • 0034287411 scopus 로고    scopus 로고
    • Finite element stabilization parameters computed from element matrices and vectors
    • Tezduyar T.E., and Osawa Y. Finite element stabilization parameters computed from element matrices and vectors. Comp. Meth. Appl. Mech. Eng. 190 (2000) 411-430
    • (2000) Comp. Meth. Appl. Mech. Eng. , vol.190 , pp. 411-430
    • Tezduyar, T.E.1    Osawa, Y.2
  • 15
    • 0026835579 scopus 로고
    • Stabilized finite element methods: I. Application to the advective-diffusive model
    • Franca L.P., Frey S.L., and Hughes T.J.R. Stabilized finite element methods: I. Application to the advective-diffusive model. Comp. Meth. Appl. Mech. Eng. 95 (1992) 253-276
    • (1992) Comp. Meth. Appl. Mech. Eng. , vol.95 , pp. 253-276
    • Franca, L.P.1    Frey, S.L.2    Hughes, T.J.R.3
  • 20
    • 0026872324 scopus 로고
    • What are C and h?: inequalities for the analysis and design of finite element methods
    • Harari I., and Hughes T.J.R. What are C and h?: inequalities for the analysis and design of finite element methods. Comp. Meth. Appl. Mech. Eng. 97 (1992) 157-192
    • (1992) Comp. Meth. Appl. Mech. Eng. , vol.97 , pp. 157-192
    • Harari, I.1    Hughes, T.J.R.2
  • 23
    • 0026866050 scopus 로고
    • The Superconvergent Patch Recovery and A Posteriori Error Estimates. Part I: The Recovery Technique
    • Zienkiewicz O.C., and Zhu J.Z. The Superconvergent Patch Recovery and A Posteriori Error Estimates. Part I: The Recovery Technique. Int. J. Numer. Meth. Eng. 33 (1992) 1331-1364
    • (1992) Int. J. Numer. Meth. Eng. , vol.33 , pp. 1331-1364
    • Zienkiewicz, O.C.1    Zhu, J.Z.2
  • 26
    • 0039631177 scopus 로고
    • Magnetic reconnection driven by current repulsion
    • Richard R.L., Sydora R.D., and Ashour-Abdalla M. Magnetic reconnection driven by current repulsion. Phys. Fluids B 2 3 (1990) 488-494
    • (1990) Phys. Fluids B , vol.2 , Issue.3 , pp. 488-494
    • Richard, R.L.1    Sydora, R.D.2    Ashour-Abdalla, M.3
  • 27
    • 0032673176 scopus 로고    scopus 로고
    • An object-oriented framework for reliable numerical simulations
    • Beall M.W., and Shephard M.S. An object-oriented framework for reliable numerical simulations. Eng. Comput. 15 (1999) 61-72
    • (1999) Eng. Comput. , vol.15 , pp. 61-72
    • Beall, M.W.1    Shephard, M.S.2
  • 28
    • 10444224493 scopus 로고    scopus 로고
    • 3D anisotropic mesh adaptation using mesh modifications
    • Li X., Shephard M.S., and Beall M.W. 3D anisotropic mesh adaptation using mesh modifications. Comp. Meth. Appl. Mech. Eng. 194 (2005) 4915-4950
    • (2005) Comp. Meth. Appl. Mech. Eng. , vol.194 , pp. 4915-4950
    • Li, X.1    Shephard, M.S.2    Beall, M.W.3
  • 29
    • 14344265344 scopus 로고    scopus 로고
    • Anisotropic adaptive simulations of transient flows using discontinuous Galerkin methods
    • Remacle J.F., Li X., Shephard M.S., and Flaherty J.E. Anisotropic adaptive simulations of transient flows using discontinuous Galerkin methods. Int. J. Numer. Meth. Eng. 62 (2005) 899-923
    • (2005) Int. J. Numer. Meth. Eng. , vol.62 , pp. 899-923
    • Remacle, J.F.1    Li, X.2    Shephard, M.S.3    Flaherty, J.E.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.