In situations outside those identified with routine elastic structural analysis, there is often a need for formulation in mixed form. Small-deformation elastostatics, expressed in terms of stress, strain, and displacement, is described here in the form of either of two complementary constrained-extremum problems. The set of governing equations and boundary conditions of elastostatics are obtain...

Abstract: A dual mixed finite element method, for quasi–Newtonian fluid flow obeying the power law or the Carreau law, is constructed and analyzed in Farhloul–Zine [13]. This mixed formulation possesses good local (i.e., at element level) conservation properties (conservation of the momentum and the mass) as in the finite volume methods. In Farhloul–Zine [12], we developed an a posteriori error...

background: every year many organizations formulate a code of ethics (coe) but when it comes to implementing, it does not achieve the desired purposes. ineffectiveness of coes can stem from different factors and surely, one of them is bad formulation. this research was conducted to identify the barriers to effective formulation of coes in one of the main state universities of medical sciences i...

the paper is concerned with a methodology of optimal design of shells of minimum weight with strength, stability and strain constraints. stress and strain state of the shell is determined by galerkin method in the mixed finite element formulation within the geometrically nonlinear theory. the analysis of the effectiveness of different optimization algorithms to solve the set problem is given. t...

We consider a upwinding mixed element method for a system of first order partial differential equations resulting from the mixed formulation of a general advection diffusion problem. The system can be used to model the transport of a contaminant carried by a flow. We use the lowest order Raviart–Thomas mixed finite element space. We show the first order convergence both for concentration and co...

This paper presents an application of Benders decomposition to deal with the complexities in the simultaneous Generation Expansion Planning (GEP) and Transmission Expansion Planning (TEP). Unlike the power system operation fields of study, the power system planning methods are not expected to be fast. However, it is always preferable to speed up computations to provide more analysis options for...

A mixed polymeric micelle formulation of paclitaxel (PTX) has been developed with the purpose of improving the solubility and prolonging the time of blood circulation of PTX in comparison to current Taxol injection. The mixed micelles were prepared by thin-film method using a nonionic surfactant Pluronic P105, L101 and PTX. The mean size of PTX-loaded mixed micelles was 185 nm with narrow size ...

We discuss a mixed-integer nonlinear programming formulation for the problem of covering a set of points with a given number of slabs of minimum width, known as the bottleneck variant of the hyperplane clustering problem. We derive several linear approximations, which we solve using a standard mixed-integer linear programming solver. A computational comparison of the performance of the differen...

We construct first order, stable, nonconforming mixed finite elements for plane elasticity and analyze their convergence. The mixed method is based on the Hellinger– Reissner variational formulation in which the stress and displacement fields are the primary unknowns. The stress elements use polynomial shape functions but do not involve vertex degrees of freedom.

A set of stable nite element spaces for the mixed formulation of twobody contact problems on non matching meshes is presented. The stabilisation of the mixed problem is achieved by balancing the spaces with respect to the mesh size and the polynomial grade of the nite element functions. A numerical convergence study is done, which con rms the estimated convergence order.