Faculty of Mathematics and Computer Science

Finite elements and boundary elements |

Code |
Semes-ter |
Hours: C+S+L |
Credits |
Type |
Section |

Teaching Staff in Charge |

Prof. MICULA Gheorghe, Ph.D., ghmicula@math.ubbcluj.ro |

Aims |

To introduce and familiarisize the students with the finite and boundary element methods for the partial differential equations. |

Content |

1. Introduction to Finite Element Method (F.E.M)
2. F.E.M for elliptic problems 3. Abstract F.E.M. formulation fpr elliptic problems 4. Minimization algorithms. Iterative methods 5. F.E.M. for parabolic problems 6. F.E.M. for hyperbolic problems 7. Boundary element methods 8. Curved elemnts and numerical integration 9. Some nonlinear problems 10. The incompressible navier-Stokes equations and compressible flow Burger's equations |

References |

1. Claes Johnson, Numerical solution of partial differential equations by the finite element method, Cambridge Univ. Press, Cambridge-New York-Sydney, 1997.
2. Gh. Micula, Sanda Micula, Handbook of Spline, Kluwer Acad. Publisher, Dordrecht-Boston-London, 1999. |

Assessment |

Exam |