Hermite interpolation of nonsmooth functions preserving boundary conditions

Abstract. This article is devoted to the construction of a Hermite-type regularization operator transforming functions that are not necessarily C1 into globally C1 finite-element functions that are piecewise polynomials. This regularization operator is a projection, it preserves appropriate first and second order polynomial traces, and it has approximation properties of optimal order. As an illustration, it is used to discretize a nonhomogeneous Navier-Stokes problem, with tangential boundary condition.

• Type: Journal
• Year: 2002
• Where: MOC
• Authors: V. Girault, L. R. Scott
• Keywords: Finite-element Functions, MOC 2002, Nonhomogeneous Navier-stokes Problem, Regularization Operator