Presents a study which formulated a new high-order time-stepping finite element method based upon the high-order numerical integration formula for Sobolev equations. Derivation of the optimal and superconvergence erro...Presents a study which formulated a new high-order time-stepping finite element method based upon the high-order numerical integration formula for Sobolev equations. Derivation of the optimal and superconvergence error estimates; Error estimates of convergence and superconvergence for the time-continuous finite element method; Details of the global superconvergence for the semi-discrete scheme.展开更多
基金This work is supported in part by NSERC (Canada)Chinese National key Basic Research Special Fund (No. G1998020322)SRF for ROCS, SEM.
文摘Presents a study which formulated a new high-order time-stepping finite element method based upon the high-order numerical integration formula for Sobolev equations. Derivation of the optimal and superconvergence error estimates; Error estimates of convergence and superconvergence for the time-continuous finite element method; Details of the global superconvergence for the semi-discrete scheme.
