Wavelet-based adaptive grid method for the resolution of nonlinear PDEs

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

Authors

Paulo Cruz (Author) Other; Adélio Mendes (Author) FEUP; Fernão D. Magalhães (Author) FEUP

Journal

Title: AICHE Journal

Vol. 48 No. 4

Pages: 774-785

ISSN: 0001-1541

Publisher: Wiley-Blackwell

Indexing

ISI Web of Knowledge - 25 Citations

ISI Web of Science

Scopus - 28 Citations

COMPENDEX

Scientific classification

CORDIS: Technological sciences

FOS: Engineering and technology > Chemical engineering

Other information

Authenticus ID: P-000-PQY

DOI: 10.1002/aic.690480412

Abstract (EN): Theoretical modeling of dynamic processes in chemical engineering often implies the numeric solution of one or more partial differential equations. The complexity, of such problems is increased when the solutions exhibit sharp moving fronts. A new numerical method is established, based on interpolating wavelets, that dynamically adapts the collocation grid so that higher resolution is automatically attributed to domain regions where sharp features are present. The effectiveness of the method is demonstrated with some relevant examples in a chemical engineering context.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 12