In this paper,we consider a singularly perturbed convection-diffusion prob-lem.The problem involves two small parameters that gives rise to two boundary lay-ers at two endpoints of the domain.For this problem,a non-mo...In this paper,we consider a singularly perturbed convection-diffusion prob-lem.The problem involves two small parameters that gives rise to two boundary lay-ers at two endpoints of the domain.For this problem,a non-monotonefinite element methods is used.A priori error bound in the maximum norm is obtained.Based on the a priori error bound,we show that there exists Bakhvalov-type mesh that gives optimal error bound of O(N-2)which is robust with respect to the two perturbation parameters.Numerical results are given that confirm the theoretical result.展开更多
基金This work is supported by National Science Foundation of China(91430104,11271145,11301044)Specialized Research Fund for the Doctoral Programof Higher Education(20114407110009)the key projects of Excellent young talents fund in universities of Anhui province(2013SQRL095ZD).
文摘In this paper,we consider a singularly perturbed convection-diffusion prob-lem.The problem involves two small parameters that gives rise to two boundary lay-ers at two endpoints of the domain.For this problem,a non-monotonefinite element methods is used.A priori error bound in the maximum norm is obtained.Based on the a priori error bound,we show that there exists Bakhvalov-type mesh that gives optimal error bound of O(N-2)which is robust with respect to the two perturbation parameters.Numerical results are given that confirm the theoretical result.
