Finite element error estimates for subsonic flow

Error Estimates for the Finite Element Solutions of Variational Inequalities

For plecewise linear approximation of variational inequalities associated with the mildly nonlinear elliptic boundary value problems having auxiliary constraint conditions, we prove that the error estimate for u-uh in the W 1’2norm is of order h. KEV WORDS AND PHRASES. Fine Element, V)nal Inequalities, Approximation, Mdly nonlinear. 1980 THEMATICS SUBJECT CLASSIFICATION CODES. Primary 5J20, 65N...

Finite element error estimates for nonlinear convective problems

Pointwise localized error estimates for parabolic finite element equations

A Posteriori Error Estimates for Nonconforming Finite Element Schemes

We derive a posteriori error estimates for nonconforming discretizations of Poisson's and Stokes' equations. The estimates are residual based and make use of weight factors obtained by a duality argument. Crouzeix-Raviart elements on triangles and rotated bilinear elements are considered. The quadrilateral case involves the introduction of additional local trial functions. We show that their in...

Some Optimal Error Estimates for Piecewise Linear Finite Element Approximations

It is shown that the Ritz projection onto spaces of piecewise linear finite elements is bounded in the Sobolev space, Wp\ for 2 <p < oo. This implies that for functions in W¿ n Wp the error in approximation behaves like 0(h) in Wx, for 2 <p =c oo, and like 0(h2) in Lp, for 2 *íp < oo. In all these cases the additional logarithmic factor previously included in error estimates for linear finite e...