, Volume 52, Issue 1, pp 33-43

A quadratic finite element method for solving biharmonic problems in ℝ n

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Summary

A family of simplicial finite element methods having the simplest possible structure, is introduced to solve biharmonic problems in ℝ n ,n≧3, using the primal variable. The family is inspired in the MORLEY triangle for the two dimensional case, and in some sense this element can be viewed as its member corresponding to the valuen=2.