A modified Bakhvalov mesh

作者：Roos Hans Goerg; Teofanov Ljiljana^*; Uzelac Zorica

来源：Applied Mathematics Letters, 2014, 31: 7-11.

DOI：10.1016/j.aml.2014.01.001

• Singular perturbation
• Boundary value problem
• Layer-adapted meshes
• Finite difference method
• Finite element method

We consider a few numerical methods for solving a one-dimensional convection-diffusion singularly perturbed problem. More precisely, we introduce a modified Bakvalov mesh generated using some implicitly defined functions. Properties of this mesh and convergence results for several methods on it are given. Numerical results are presented in support of the theoretical considerations.

• 出版日期2014-4