The Optimal Convergence Rate of the p-Version of the Finite Element Method

Authors:
  • LBL. Babuška
    L. Babuška
  • MSManil Suri
    Manil Suri

Abstract
Optimal error estimates for the p-version of the finite element method in two dimensions are proven for the case when $u \in H^k (\Omega )$ or u has singularities induced by the corners of the domain. The case of nonhomogenous essential boundary conditions is also analyzed.