ON THE 2(p) TH-ORDER OF CONVERGENCE OF THE GALERKIN DIFFERENCE METHOD

摘要

It is proved that the Galerkin difference method proposed in [J. W. Banks and T. Hagstrom, J. Comput. Phys., 313 (2016), pp. 310-327] converges at 2p order in both L-2 and H-1 norms. The novelty in the proof is the unconventional superconvergence analysis using an eigenvalue approximation error estimate.