The approach of nonconforming finite element method admits users to solve the partial differential equations with lower complexity, but the accuracy is usually low. In this paper, we present a family of high-accuracy nonconforming finite element methods for fourth order problems in arbitrary dimensions. The finite element methods are given in a unified way with respect to the dimension. This is an effort to reveal the balance between the accuracy and the complexity of finite element methods.
fourth order problem nonconforming finite element high accuracy arbitrary dimensions
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