Abstract (EN):
Many problems in science and engineering are formulated in terms of time-dependent partial differential equations. The first part of this contribution gives an overview of the moving finite element method based on a piecewise higher degree polynomial basis in space. In the second part, applications are presented in order to give a convincing demonstration that the proposed moving finite element method is a powerful tool to compute numerical solution of a large class of ID and 2D problems modelled by time-dependent partial differential equations. Numerical results are described which illustrate some important features of the proposed moving finite element method for solving problems in one and two dimensional space domains.
Idioma:
Inglês
Tipo (Avaliação Docente):
Científica
Nº de páginas:
6