کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4637677 | 1631978 | 2017 | 16 صفحه PDF | دانلود رایگان |
• A maximum norm a posteriori error estimation is presented.
• A monitor function is proposed to design an adaptive grid algorithm.
• We give a sub-algorithm, which is called an arc-length equidistribution algorithm.
A system of two singularly perturbed convection–diffusion problems with strong coupling is studied. This system is discretized by an upwind finite difference scheme on an arbitrary non-uniform mesh. An a posteriori error estimation in the maximum norm is derived. Based on the a posteriori error estimation, a monitor function is proposed to design an adaptive grid algorithm. Especially, to implement the adaptive grid approach, we not only give a mesh generation algorithm, but also give a sub-algorithm, which is called an arc-length equidistribution algorithm. Numerical results are given to confirm our theoretical result.
Journal: Journal of Computational and Applied Mathematics - Volume 313, 15 March 2017, Pages 152–167