Error estimates for mixed methods

Two hierarchical a posteriori error estimators are derived in this section, one based on conforming face bubbles and one based on nonconforming element bubbles.. Both estimators rely

The liquid crystal configurations of most interest are those containing singularities and in two dimensions these do not have finite energy, so in this situation the limit equation

The main purpose of the present work is to derive explicit and implicit reliable a-posteriori error estimates for linear exterior problems in the plane, whose variational

By using this technique and establishing a multi-parameter asymptotic error expansion for the mixed finite element method, an approximation of higher accuracy is obtained

Some comments conserning several related studies of least-squares methods are warranted to put the current work m perspective, e g see [5, 6, 10, 12, 16] Fix, Gunzburger and

Abstract — We discuss a technique of implementing certain mixed f mite éléments based on the use of Lagrange multipliers to impose interelement continuity The matrices ansingfrom

Abstract. — Interior estimâtes for the error in mixed finite element methods for linear and semi- linear elliptic équations of second order are derived in Sobolev spaces of

Abstract — We consider a mixed finite element method for the Stokes problem in a polygonal domain Q cz U 2 An inf-sup condition is established which fits into the abstract jramework