A quadratic finite element method for solving biharmonic problems in \(\mathbb R^ n\)
A family of simplicial finite element methods having the simplest possible structure is introduced to solve biharmonic problems in \({\mathbb{R}}^ n\), for n greater or equal to 3, using the primal variable. The family is inspired in the Morley triangle, which in some sense can be viewed as its member corresponding to the value \(n=2\). However all the new members are defined with the help of special degrees of freedom called parametrized. Equivalent convergence results are proven to hold for all the members of this family.
scientific article; zbMATH DE number 4001400