2D Wavelet-based Adaptive Grid Method for the Solution of PDE’s

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

Autores

João C. Santos (Autor) FEUP; Paulo Cruz (Autor) FEUP; Fernão D. Magalhães (Autor) FEUP; Adélio M. M. Mendes (Autor) FEUP

Revista

Título: AIChE J. Symp. Ser.

Vol. 49 Nº 3

Páginas: 706-717

Classificação Científica

FOS: Ciências da engenharia e tecnologias > Outras ciências da engenharia e tecnologias

Outras Informações

Abstract (EN): An efficient interpolating wa®elet-based adapti®e-grid numerical method is described for sol®ing systems of bidimensional partial differential equations. The grid is dynamically adapted in both dimensions during the integration procedure so that only the rele- ®ant information is stored, sa®ing allocation memory. The spatial deri®ati®es are directly calculated in a nonuniform grid using cubic splines. Numerical results for fi®e typical problems presented illustrate the efficiency and robustness of the method. The adapti®e 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