Finite difference and finite element discretization procedures with improved continuity of interpolation functions

Author

Girdinio, P. ; Molfino, P. ; Molinari, G. ; Puglisi, L. ; Viviani, A.

Author_Institution

Universitá di Genova, Via all Opera Pia, GENOVA GE, Italy.

Volume

19

Issue

6

fYear

1983

fDate

11/1/1983 12:00:00 AM

Firstpage

2558

Lastpage

2561

Abstract

In the paper, procedures oriented to improve the continuity of interpolation functions in both finite difference and finite element methods are presented. The mathematical formulation of a new method, the least square finite difference method, is given and the features of the method are discussed. Analogously, in the area of finite element method a new procedure is presented allowing to obtain complete polynomial interpolation functions by minimization of quadratic continuity errors on the lower order derivatives not constrained to exact continuity. In both cases, the first results are very encouraging; in the paper, some of them are outlined and discussed.

Keywords

FEM; Finite difference methods; Finite-element method (FEM); Interpolation; Convergence; Difference equations; Differential equations; Finite difference methods; Finite element methods; Interpolation; Least squares methods; Minimization methods; Polynomials; Taylor series;

fLanguage

English

Journal_Title

Magnetics, IEEE Transactions on

Publisher

ieee

ISSN

0018-9464

Type

jour

DOI

10.1109/TMAG.1983.1062890

Filename

1062890