Numerical Analysis of a Mixed Finite Element Method for Plate Buckling Problems

概要

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This paper presents error analysis of a mixed finite element scheme for a linear biharmonic eigenvalue problem associated with plate buckling. To this end, we use the spectral projection expressed by the Dunford integral. The concept of discrete compactness also plays an important role in our analysis. We illustrate some numerical results to see actual convergence behavior of the scheme. Furthermore, some comments are given on a different kind of mixed method.
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