基于序列转换的p型有限元后误差估计

A posteriori Error Estimate for p Extension Using Sequence Transformation

提出了基于序列转换的ｐ型有限元后误差估计外推算法，当问题的解是光滑的时候，可采用ε算法对能量模进行估计；当问题的解是非光滑的时候采用多项式外推算法，这种情况下，如果采用均匀或近似均匀网格，用ｈ２或（ｈ２，ｈ４）外推，如奇异点附近采用强梯度网格，则ｈ３或（ｈ３，ｈ６）外推更加合适．

A posteriori error estimate based on extrapolation for p extension is presented using the sequence transformation technique. When the exact solution is smooth, the error in energy norm can be estimated by ε algorithm while when not smooth, polynomial extrapolation is used. In this case, if a uniform or nearly uniform mesh is designed, h 2 or ( h 2, h 4) extrapolation should be used. However, if strong gradient mesh in the vicinity of singular points is designed, then h 3 or (h 3, h 6) extrapolation is more suitable. Computational results show that the method proposed is reliable and accurate.