### Abstract

The determination of equilibrium configurations of MHD plasmas in tokamak-type reactors is quite important in fusion energy research. This paper presents finite element analysis of ideal axisymmetric MHD equilibria in torus regions governed by the Grad-Shafranov equation. The authors employ a simplified model equation, where the nonlinear term is positively homogeneous in the magnetic flux function. Then the problem becomes a nonlinear eigenvalue problem for a semi-linear elliptic equation with two parameters, and the boundary between the vacuum region and the plasma region may be regarded as a free surface which is not known beforehand.

Original language | English |
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Title of host publication | Finite Elements in Fluids |

Publisher | John Wiley & Sons |

Pages | 311-323 |

Number of pages | 13 |

ISBN (Print) | 0471903965 |

Publication status | Published - 1984 Dec 1 |

### Publication series

Name | Finite Elements in Fluids |
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Volume | 5 |

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### ASJC Scopus subject areas

- Engineering(all)

### Cite this

*Finite Elements in Fluids*(pp. 311-323). (Finite Elements in Fluids; Vol. 5). John Wiley & Sons.