THE MOVING FINITE-ELEMENT METHOD WITH POLYNOMIAL-APPROXIMATION OF ANY DEGREE

• Type: Article in International Scientific Journal
• Date: 1991

Authors

SERENO, C (Author) Other; Alírio Rodrigues (Author) FEUP; VILLADSEN, J (Author) Other

Journal

Title: Computers and Chemical Engineering

Vol. 15

Pages: 25-33

ISSN: 0098-1354

Publisher: Elsevier

Indexing

ISI Web of Knowledge - 23 Citations

Scopus - 31 Citations

Other information

Authenticus ID: P-001-R2E

DOI: 10.1016/0098-1354(91)87003-r

Abstract (EN): The moving finite element method (MFEM) is developed using polynomial approximations of arbitrary degree in each of the finite elements. These approximations are obtained by the Lagrange interpolation polynomials, with the interior nodes optimized as in the orthogonal collaction method. The method can be used for any type of linear boundary conditions. A computer code is developed to illustrate the method with three examples: (i) the 1-D Burgers' problem; (ii) equilibrium model for fixed-bed absorption; and (iii) pseudo-homogenous axial dispersion model.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 9