Abstract:
The superconvergence behavior of the linearized BDF format with the nonconforming
EQ1rot element for the Benjamin-Bona-Mahony-Burgers (BBM-Burgers) equation was studied. By using mathematical induction to deal with the nonlinear term, together with the high accuracy analysis of this element and interpolation post-processing technique, then the superclose and superconvergence results of order
O(
h2+
τ2) were derived in the broken
H1-norm without any restriction between the mesh size and time step. Finally, the correctness of the theoretical analysis was verified by a numerical example.