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中文摘要：
利用双线性元和零阶Raviart-Thomas（R-T）元对非线性Sobolev-Galpern型湿气迁移方程建立了H1-Galerkin混合有限元格式,证明了逼近格式解的存在唯一性。借助双线性元已有的高精度分析,平均值技巧和插值后处理算子,导出精确解u在H1模及中间变量p在H（div;Ω）模意义下的超逼近性质和整体超收敛结果。同时,应用积分恒等式技巧对零阶R-T元进一步导出一个新的误差渐进展开式,得到O（h3）阶的外推解（这里h是剖分参数）。
英文摘要：
Employing bilinear element and zero-order Raviart-Thomas element（R-T）,H1-Galerkin mixed element schem is established for nonlinear Sobolev-Galpern type equations of moisture migration.The existence and uniqueness of the solution about the approximation scheme are proved.With the help of the known high accuracy analysis of the bilinear,mean-value technique and interpolated postprocessing operators,the superclose properties and the global superconvergence results of exact solution uin H1-norm and intermediate variable pin H（div;Ω）-norm are deduced.Furthermore,a new high asymptotic error expansion is deduced by use of integral identity technique with zero-order Raviart-Thomas element（R-T）and the extrapolation solution with order O（h3）is obtained（here his the meshing partition）.
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