Estimation Method of Model State Error in Parabolic Problems Using Conforming Element

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.