Numerical methods of partial differential equations with the finite element method

Additional Info

  • ECTS credits: 10
  • University: Leibniz University Hannover
  • Semester: 3
  • Objectives:

     

    This course is devoted to the numerical solution of partial differential equations (PDEs).
    The students will learn how to design numerical algorithms, establish their theoretical properties, and how to realize them in
    implementations.

  • Topics:

     

    Recapitulation of characteristic concepts of numerical mathematics
    Brief review of mathematical modeling of differential equations
    Discretization with Finite differences (FD) for elliptic boundary value problems
    Discretization with Finite elements (FEM) for elliptic boundary value problems
    Numerical solution of the discretized problems
    Time-dependent problems: Methods for parabolic and hyperbolic problems
    Numerical methods for nonlinear and coupled problems

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