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论文类型：期刊论文

发表时间：2021-01-10

发表刊物：NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS

卷号：36

期号：6

页面范围：2018-2034

ISSN号：0749-159X

关键字：biharmonic problem; high accuracy; nonconforming finite element

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