A second order characteristic finite element scheme for convection-diffusion problems (Q1614998)

For a convection-diffusion problem a new second-order characteristic finite element scheme is developed. The second-order accuracy of approximation is reached on the time element. The approximations are symmetric and unconditionally stable. On the space \(L^2\), the framework for optimal error estimates are suggested. Two numerical examples which show the advantages of the proposed approach are presented.