SUPERCLOSE ANALYSIS OF BICUBIC HERMITE ELEMENT ON ANISOTROPIC MESHES
各向异性网格下的双三次Hermite元的超逼近分析

The bicubic Hermite finite element is applied to fourth order biharmonic problem on anisotropic meshes,and the same convergence and superclose behavior as that of on the con- ventional regular subdivision are obtained through some new ideas and techniques.Moreover, the corresponding numerical examples are given to verify our theoretical analysis.The re- sults show that the regularity condition is not necessary to the conventional finite element analysis,thus they are helpful to further develop the self-adaptive algorithm and posterior estimates.