Title :
Finite Volume Methods for the Second Order Singular Perturbation Problems
Author_Institution :
Coll. of Math. & Comput. Sci., Guangxi Univ. for Nat., Nanning, China
Abstract :
In this paper, we present a finite volume method for the second order singular perturbation problems. A simple computing scheme is given with the benefit of the optimal meshes. The optimal order of uniform convergence is obtained under a much weaker condition than coercivity assumption.
Keywords :
convergence of numerical methods; finite volume methods; mesh generation; perturbation theory; coercivity assumption; finite volume method; optimal meshes; second order singular perturbation problems; uniform convergence; Boundary value problems; Coercive force; Convergence; Equations; Finite element methods; Mathematical model; Moment methods; finite volume methods; optimal mesh; singular perturbation problems;
Conference_Titel :
Computational Intelligence and Security (CIS), 2011 Seventh International Conference on
Conference_Location :
Hainan
Print_ISBN :
978-1-4577-2008-6
DOI :
10.1109/CIS.2011.335
