In this paper, we study the variational discretization and adaptive mixed finite element methods for optimal control problems governed by integro-differential equations. The state and the co-state are discretized by the lowest order Raviart-Thomas mixed finite element spaces and the control is not discretized. We derive a posteriori error estimates for the coupled state and control approximatio...

several appliances have been used for palatal expansion for treatment of posterior cross bite. the purpose of this study was to evaluate the stress induced in the apical and crestal alveolar bone and the pattern of tooth displacement following expansion via removable expansion plates or fixed-banded palatal expander using the finite element method (fem) analysis.two 3d fem models were designed ...

We develop a method for the analysis of mixed finite element methods for the Stokes problem in the velocity-pressure formulation. A technical "macroelement condition", which is sufficient for the classical Babuska-Brezzi inequality to be valid, is introduced. Using this condition,we are able to verify the stability, and optimal order of convergence, of several known mixed finite element methods.

We present a new, stable, mixed finite element (FE) method for linear elastostatics of nearly incompressible solids. The is the automatic variationally stable FE (AVS-FE) Calo, Romkes and Valseth, in which we consider Petrov-Galerkin weak formulation where stress displacement variables are space H(div)xH1, respectively. This allows us to employ fully conforming discretization any elastic solid ...