2-d wavelet-based adaptive-grid method for the resolution of PDEs

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

Authors

Santos, JC (Author) Other; Cruz, P (Author) Other; Magalhaes, FD (Author) FEUP; Mendes, A (Author) FEUP

Journal

Title: AICHE Journal

Vol. 49

Pages: 706-717

ISSN: 0001-1541

Publisher: Wiley-Blackwell

Indexing

ISI Web of Knowledge - 5 Citations

Scopus - 5 Citations

Scientific classification

FOS: Engineering and technology > Chemical engineering

Other information

Authenticus ID: P-000-HEJ

DOI: 10.1002/aic.690490314

Abstract (EN): An efficient interpolating wavelet-based adaptive-grid numerical method is described for solving systems of bidimensional partial differential equations. The grid is dynamically adapted in both dimensions during the integration procedure so that only the relevant information is stored, saving allocation memory. The spatial derivatives are directly calculated in a nonuniform grid using cubic splines. Numerical results for five typical problems presented illustrate the efficiency and robustness of the method. The adaptive strategy significantly reduces the computational times and the memory requirements, as compared to the fixed-grid approach.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 12