Based on an improved orthogonal expansion in an element, a new error expression of n-degree finite element approximation uh to two-point boundary value problem is derived, and then superconvergence of two order for bo...Based on an improved orthogonal expansion in an element, a new error expression of n-degree finite element approximation uh to two-point boundary value problem is derived, and then superconvergence of two order for both function and derivatives are obtained.展开更多
基金This work was supported by The Special Funds for State Major Basic Research Projects(No. G1999032804)The National Natural Science Foundation of China(Grant No.10471038)
文摘Based on an improved orthogonal expansion in an element, a new error expression of n-degree finite element approximation uh to two-point boundary value problem is derived, and then superconvergence of two order for both function and derivatives are obtained.