A finite element analysis of a coupled system of singularly perturbed reaction–diffusion equations

详细信息    查看全文

• 作者：Linß ; Torsten ; Madden ; Niall
• 关键词：Reaction&ndash ; diffusion ; Singular perturbation ; Solution decomposition ; Shishkin mesh
• 刊名：Applied Mathematics and Computation
• 出版年：2004
• 出版时间：January 30, 2004
• 年：2004
• 卷：148
• 期：3
• 页码：869-880
• 全文大小：317 K

文摘

We consider a system of two coupled reaction–diffusion equations. When the parameters multiplying the second-order derivatives in the equations are small, their solutions exhibit boundary layers. Moreover, when the parameters are of different magnitudes, two distinct but overlapping boundary layers are present. We study a finite element discretization on general layer-adapted meshes including the frequently studied Shishkin mesh and the Bakhvalov mesh. Supporting numerical results are presented.