Finite Element Methods for Elliptic Equations Using Nonconforming Elements
Finite Element Methods for Elliptic Equations Using Nonconforming Elements
A finite element method is developed for approximating the solution of the Dirichlet problem for the biharmonic operator, as a canonical example of a higher order elliptic boundary value problem.The solution is approximated by special choices of classes of discontinuous functions, piecewise polynomial functions, by virtue of a special variational …