Adaptive multiresolution approach for two-dimensional PDEs

• Type: Article in International Scientific Journal
• Date: 2004

Authors

J. C. Santos (Author) Other; P. Cruz (Author) Other; Manuel Moreira (Author) FEUP; P. J. Oliveira (Author) Other; Fernão de Magalhães (Author) FEUP; Adélio Mendes (Author) FEUP

Journal

Title: Computer Methods in Applied Mechanics and Engineering

Vol. 193 No. 3-5

Pages: 405-425

ISSN: 0045-7825

Publisher: Elsevier

Indexing

ISI Web of Knowledge - 17 Citations

ISI Web of Science

Scopus - 21 Citations

COMPENDEX

Scientific classification

CORDIS: Technological sciences > Technology > Chemical technology

FOS: Engineering and technology > Other engineering and technologies

Other information

Authenticus ID: P-000-CG3

DOI: 10.1016/j.cma.2003.10.005

Abstract (EN): A multiresolution adaptive approach for the solution of two-dimensional partial differential equations (PDEs) is presented. This methodology is a multidimensional extension of that presented in a previous work [Comput. Methods Appl. Mech Engrg. 191 (2002) 3909]. The method proposed is unconditionally stable, by incorporating convection automatically allocated to domain regions where strong gradients are observed. The two desired properties of any PDE solver, stability and accuracy, are therefore retained. Numerical results for four test problems are presented which serve to demonstrate the robustness and cost effectiveness of the method.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 21