a two-dimensional single particle finite element model was used to examine the effects of particle fragmental pattern on the average molecular weights, polymerization rate and particle overheating in heterogeneous ziegler-natta olefin polymerization. a two-site catalyst kinetic mechanism was employed together with a dynamic two-dimensional molecular species in diffusion-reaction equation. the i...

<p style='text-indent:20px;'>This paper presents a hybridized weak Galerkin (HWG) finite element method for solving the Brinkman equations. Mathematically, equations can model Stokes and Darcy flows in unified framework so as to describe fluid motion porous media with fractures. Numerical schemes equations, therefore, must be designed tackle at same time. We demonstrate that HWG is capabl...

For the Hodge–Laplace equation in finite element exterior calculus, we introduce several families of discontinuous Galerkin methods extended framework. contractible domains, this framework utilizes seven fields and provides a unifying inf-sup analysis with respect to all discretization penalty parameters. It is shown that proposed can be hybridized as reduced two-field formulation.