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中文摘要：
本文主要讨论非对称不定问题的双线性有限元逼近．在不需要引入Ritz投影的前提下直接利用单元上的插值并借助于该元已有的高精度分析和平均值技巧，得到在H1模意义下O（h2）阶的超逼近和整体超收敛结果．同时给出两个新的误差渐近展开式，导出比传统有限元误差高两阶的O（h3）阶的外推解．
英文摘要：
In this paper, the bilinear finite element method is discussed to approximate nonsymmetric and indefinite problem. Applying the interpolation of the element instead of Ritz projection,and with the help of the known high accuracy analysis and averaging tech- nique,the superclose property and global superconvergence result with O（h2） order are ob- tained in H1 norm. Furthermore,two new high asymptotic error expansions are deduced and the extrapolation solution with O（h3） order is proposed which is two order higher than the traditionl error estimate.
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