Currently used finite volume methods are essentially low order methods. In this paper, we present a systematic way to derive higher order finite volume schemes from higher order mixed finite element methods. Mostly for convenience but sometimes from necessity, our procedure starts from the hybridization of the mixed method. It then approximates the inner product of vector functions by an approp...

We investigate a mortar technique for mixed finite element approximations of class domain decomposition saddle point problems on nonmatching grids in which the variable associated with essential boundary condition, referred to as flux, is chosen coupling variable. It plays role Lagrange multiplier impose weakly continuity natural condition. The flux-mortar incorporated use discrete extension op...

In this research, an efficient Galerkin Finite Volume Method (GFVM) along with the h–refinement adaptive process and post–processing error estimation analysis is presented for fracture analysis. The adaptive strategy is used to produce more accurate solution with the least computational cost. To investigate the accuracy and efficiency of the developed model, the GFVM is compared with two versio...