Problem Definition: Queensland’s Compulsory Third-Party (CTP) Insurance Scheme provides a mechanism for persons injured as result of motor vehicle accident to receive compensation. Managing CTP claims involves multiple stakeholders with potentially conflicting interests. It is therefore pertinent investigate whether ‘best practice’ processing can be identified and measured so all claimants fair...

— We study an abstract eigenvalue problem related to a saddle-point formulation, and then we discretize it, obtaining error bounds for eigenvalues and eigenfunctions. We apply our results to the solution of four th order problems by mixed finite element methods. INTRODUCTION We are interested in the following eigenvalue problem: Find X e R and (u, >\f) e V x W such that v)+b(v9 v|/) = 0, VweF, ...

We develop a new mixed formulation for the numerical solution of second-order elliptic problems. This new formulation expands the standard mixed formulation in the sense that three variables are explicitly treated: the scalar unknown, its gradient, and its ux (the coeecient times the gradient). Based on this formulation, mixed nite element approximations of the second-order elliptic problems ar...

in this paper, a positive definite semi-discrete mixed finite element method was presented for two-dimensional parabolic equations. in the new positive definite systems, the gradient equation and flux equations were separated from their scalar unknown equations.  also, the existence and uniqueness of the semi-discrete mixed finite element solutions were proven. error estimates were also obtaine...

MULTISCALE–HYBRID–MIXED METHODS ALEXANDRE L. MADUREIRA Dedicated to Leo Franca, in memoriam. ABSTRACT. In an abstract setting, we investigate the basic ideas behind the Multiscale Hybrid Mixed (MHM) method, a Domain Decomposition scheme designed to solve multiscale partial differential equations (PDEs) in parallel. As originally proposed, the MHM method starting point is a primal hybrid formula...

— This paper présents abstract error estimâtes for mixed methods for the approximate solution of elliptic boundary value problems. These estimâtes are then applied to obtain quasi-optimal error estimâtes in the usual Sobolev norms for four examples: three mixed methods for the biharmonic problem and a mixed method for second order elliptic problems. Resumé. Dans cet article, on présente des est...