A least squares finite element method applied to b-splines

✍ Scribed by N.G. Zamani

• Publisher: Elsevier Science
• Year: 1981
• Tongue: English
• Weight: 682 KB
• Volume: 311
• Category: Article
• ISSN: 0016-0032
• DOI: 10.1016/0016-0032(81)90014-4

✦ Synopsis

In this article we consiruct a class of functions on a bounded irregular region Rc RZ which are of compact support, smooth and locally polynomials.

The basic tool is the use of ordinary B-splines associated with the square containing Cl. This construction is then used for approximating the solution of Poisson's boundary value problem. 7'he approximation is carried out through a least squares finite element method applied to the above class. Aside from some computational experiments, the objective is to emphasize the ease of generating the basis elements and the role of Kernel function in a convergence proof.