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中文摘要：
针对含有复杂几何属性的模型会给有限元网格剖分造成困难并产生大量冗余单元的问题，为了有效地提高有限元求解效率，在确保分析解可靠的前提下合理简化模型，提出一种估算模型简化前后分析解空间差异程度的方法．首先比较了模型简化前后的网格剖分结果及场函数之间的差异，在此基础上，依据面向仿射等价协调元和等参协调元2种单元的经典插值精度定理估计出模型简化前后分析解空间的差异程度，为判断模型简化策略是否合理提供客观依据．理论分析及实验结果表明，该方法能够客观地反映出模型简化前后分析解空间的实际差异．
英文摘要：
Complex geometric features in models would cause generation of redundant elements in finite element analysis. To reduce computation cost of complex models in the premise of acquirement of reliable analysis result, a method for assessing solution space discrepancy between the models before and after simplification is researched. Subdivisions and field functions of the models before and after simplification are compared respectively. Then, degree of such discrepancy can be estimated according to two classic interpolation error theorems for affinity-equivalent conforming elements and isoperimetric elements respectively. The method provides judgment to effectiveness of the simplification strategy. Theory deduction and experiments results indicate that the estimated discrepancy degree is consistent with discrepancy between the two corresponding solution spaces.
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