Conforming equilibrium finite element methods for some elliptic plane problems

This section considers the development of finite element subspaces satisfying the crucial inf-sup condition in Assumption 3.1.. Lemma 4.1 below provides several equivalent

In the remainder of the paper we check the conditions from this section and deduce the convergence of the associated adaptive algorithm of bulk type for different estimators built

In the single domain case we constructed precomputed velocity basis functions with zero tangential velocity on the inlet and outflow boundaries, and precomputed pressure basis

For the transient Navier-Stokes equations studied in the present paper, there does not appear to be much literature on the two-grid algorithm, but we can quote two references in

We also quote two arguments which are of great help for the proof of this inf-sup condition: the Boland and Nicolaides idea [4] consists in proving this condition separately on

Abstract — We develop a new mixed formulation for the numencal solution of second-order elliptic problems This new formulation expands the standard mixed formulation in the sense

It has been shown that these techniques and arguments are powerful for convergence analysis especially for improving accuracy analysis in mixed finite element methods for solving

For the approximation of solutions for radiation problems using intégral équations we refer to [3], [9], [16], [17] in the case of smooth boundaries and to [21] in the case of