SUPERCLOSE ANALYSIS OF A NONCONFORMING FINITE ELEMENT FOR NONLINEAR VISCOELASTIC WAVE EQUATION

摘要

In this paper, the constrained rotated Q_1 nonconforming finite element method is studied on the nonlinear viscoelastic wave equation. By use of average-valued technique and special properties of the element, the superclose property for the nonlinear equation in broken H~1 norm is derived without Ritz projection, which is the same as for the linear situation.