Finite element methods for elliptic equations using nonconforming elements
Tóm tắt
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 formulation of the boundary value problem. The approximating functions are not required to satisfy the prescribed boundary conditions. Optimal error estimates are derived in Sobolev spaces.
Từ khóa
Tài liệu tham khảo
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