A moving finite element method for the solution of two-dimensional time-dependent models

• Type: Article in International Scientific Journal
• Date: 2003

Authors

Maria do Carmo Coimbra (Author) FEUP; Carlos Sereno (Author) Other; Alírio Rodrigues (Author) FEUP

Journal

Title: Applied Numerical Mathematics

Vol. 44 No. 4

Pages: 449-469

ISSN: 0168-9274

Publisher: Elsevier

Indexing

ISI Web of Knowledge - 11 Citations

ISI Web of Science

Scopus - 10 Citations

COMPENDEX

Scientific classification

CORDIS: Physical sciences > Mathematics > Mathematical analysis > Differential equations ; Physical sciences > Mathematics > Applied mathematics > Numerical analysis

Other information

Authenticus ID: P-000-HF4

DOI: 10.1016/s0168-9274(02)00172-1

Abstract (EN): In this paper a moving finite element method is developed to solve time dependent problems in two space dimensions. In this formulation the solution is approximated by a piecewise polynomial of high degree on a hexagonally connected triangular mesh. Special treatment, such as the way of calculating the integrals involving second spatial derivatives and the way of preventing singularities are introduced and discussed. Numerical experiments are employed to illustrate the relationship between the nodes movements and the choice of penalty constants as well as to test the accuracy and efficiency of the proposed method.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 21