摘要：In this work a coupled (LDG-CFEM) method for singularly perturbed Volterra
integro-differential equations with a smooth kernel is implemented. The existence
and uniqueness of the coupled solution is given, provided that the source function
and the kernel function are sufficiently smooth. Furthermore, the coupled solution
achieves the optimal convergence rate p + 1 in the L2 norm and a superconvergence
rate 2p at nodes for the numerical solution Uˆ N with the one-sided flux inside the
boundary layer region under layer-adapted meshes uniformly with respect to the
singular perturbation parameter ϵ.
