Adaptive multiresolution approach for solution of hyperbolic PDEs

• Type: Article in International Scientific Journal
• Date: 2002

Authors

Alves, MA (Author) FEUP; Cruz, P (Author) Other; Mendes, A (Author) FEUP; Magalhaes, FD (Author) FEUP; Pinho, FT (Author) FEUP; Oliveira, PJ (Author) Other

Journal

Title: Computer Methods in Applied Mechanics and Engineering

Vol. 191 No. 36

Pages: 3909-3928

ISSN: 0045-7825

Publisher: Elsevier

Indexing

ISI Web of Knowledge - 25 Citations

ISI Web of Science

Scopus - 26 Citations

COMPENDEX

Scientific classification

FOS: Engineering and technology > Other engineering and technologies

CORDIS: Technological sciences > Engineering > Mechanical engineering

Other information

Authenticus ID: P-000-R0N

DOI: 10.1016/s0045-7825(02)00334-1

Abstract (EN): This paper establishes an innovative and efficient multiresolution adaptive approach combined with high-resolution methods, for the numerical solution of a single or a system of partial differential equations. The proposed methodology is unconditionally bounded (even for hyperbolic equations) and dynamically adapts the grid so that higher spatial resolution is automatically allocated to domain regions where strong gradients are observed, thus possessing the two desired properties of a numerical approach: stability and accuracy. Numerical results for five test problems are presented which clearly show the robustness and cost effectiveness of the proposed method.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 20