The Multiscale Finite Element Approximation for the Convection-Diffusion Problem on Bakhvalov Grid
Sun Mei-lin · Natural Science Journal of Xiangtan University · 2014
A multiscale finite element approximation is proposed to solve the singularly perturbed convection-diffusion boundary layers efficiently.Based on the priori estimate to build Bakhvalov coarse grid,we use the multiscale basis functions to effectively acquire the boundary local information under the multiscale scheme.Through the numerical experiment,our new method on coarse meshes can obtain the highly accurate superconvergence results and independente-stability,which shows a great superiority compared to the traditional finite element method.