Least-squares finite element method for the advection-diffusion equation

Dag I., Irk D., Tombul M.

APPLIED MATHEMATICS AND COMPUTATION, vol.173, no.1, pp.554-565, 2006 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 173 Issue: 1
  • Publication Date: 2006
  • Doi Number: 10.1016/j.amc.2005.04.054
  • Journal Name: APPLIED MATHEMATICS AND COMPUTATION
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.554-565
  • Anadolu University Affiliated: No

Abstract

The space-time least-squares finite element methods are constructed for the advection-diffusion equation by using both linear shape functions and quadratic B-spline shape functions. Two test problems are studied to demonstrate the accuracy of the present methods. Results of the two schemes have been compared. (c) 2005 Elsevier Inc. All rights reserved.