Abstract
AbstractThis work gives the high accuracy analysis of a rectangular biharmonic element in arbitrarily high‐dimensional cases. Given an n‐rectangle, we construct the nonconforming finite element and show its explicit standard basis representation. We prove that, if the n‐rectangular mesh is uniform, this element can achieve a second order convergence rate in energy norm when applied to biharmonic problems. Numerical examples for n = 3 are also presented.
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