Article ID Journal Published Year Pages File Type
4640312 Journal of Computational and Applied Mathematics 2010 14 Pages PDF
Abstract

We introduce two kinds of the cell boundary element (CBE) methods for convection dominated convection–diffusion equations: one is the CBE method with the exact bubble function and the other with inexact bubble functions. The main focus of this paper is on inexact bubble CBE methods. For inexact bubble CBE methods we introduce a family of numerical methods depending on two parameters, one for control of interior layers and the other for outflow boundary layers. Stability and convergence analysis are provided and numerical tests for inexact bubble CBEs with various choices of parameters are presented.

Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
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