Bibliography Page 1 Bibliography [1] Y. Achdou, C. Bernardi, and F. Coquel, A priori and a
posteriori analysis of finite volume dis- cretizations of Darcy’s equations, Numer. Math. 96 (2003) …

The importance of accuracy verification methods was understood at the very beginning of
the development of numerical analysis. Recent decades have seen a rapid growth of results …

The essential topics of classical and advanced adaptive finite element methods (FEMs) for
linear and finite elastic deformations of solids and structures are presented in this chapter …

We derive efficient and reliable goal-oriented error estimations, and devise adaptive mesh
procedures for the finite element method that are based on the localization of a posteriori …

This paper presents an error estimation framework for a mixed displacement–pressure finite
element method for nearly incompressible elasticity. The proposed method is based on …

We propose an approach for goal-oriented error estimation in finite element approximations
of second-order elliptic problems that combines the dual-weighted residual method and …

In our earlier work [E. Stein, S. Ohnimus, Coupled model-and solution-adaptivity in the finite-
element method, Comput. Methods Appl. Mech. Engrg. 150 (1997) 327–350; E. Stein, S …

Some aspects of goal-oriented a posteriori error estimation are addressed in the context of
steady convection–diffusion equations. The difference between the exact and approximate …

In this article, we present a 3D adaptive method for thermoelastic problems based on goal-
oriented error estimation where the error is measured with respect to a pointwise quantity of …

This chapter introduces into computational methods for the simulation of PDE-based models
of laminar hemodynamical flows. We discuss space and time discretization with emphasis …