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

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

Authors

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

Journal

Title: AIChE J. Symp. Ser.

Vol. 49 No. 3

Pages: 706-717

Scientific classification

FOS: Engineering and technology > Other engineering and technologies

Other information

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.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 12