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

• Tipo: Artigo em Revista Científica Internacional
• Data: 2003

Autores

Santos, JC (Autor) Outra; Cruz, P (Autor) Outra; Magalhaes, FD (Autor) FEUP; Mendes, A (Autor) FEUP

Revista

Título: AICHE Journal

Vol. 49

Páginas: 706-717

ISSN: 0001-1541

Editora: Wiley-Blackwell

Indexação

ISI Web of Knowledge - 5 Citações

Scopus - 5 Citações

Classificação Científica

FOS: Ciências da engenharia e tecnologias > Engenharia química

Outras Informações

ID Authenticus: 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.

Idioma: Inglês

Tipo (Avaliação Docente): Científica

Nº de páginas: 12