Abstract
We study the finite element method for the biharmonic Dirichlet problem in polygonal domains. In this paper, we adopt simple conforming finite element methods and derive quasi-optimal rate of convergence for the error. The main tool in this analysis is an interpolation theory.
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Mizutani, A. On the finite element method for the biharmonic dirichlet problem in polygonal domains; quasi-optimal rate of convergence. Japan J. Indust. Appl. Math. 22, 45 (2005). https://doi.org/10.1007/BF03167475
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DOI: https://doi.org/10.1007/BF03167475