We present a new method for the evolution of inextensible vesicles immersed in a Stokesian fluid. We use a standard boundary integral formulation for the fluid, which results in a set of nonlinear integro-differential equations for the vesicle dynamics. This dynamics is driven by hydrodynamic and elastic forces. In 2D, the elastic forces are given by the Euler-Bernoulli elasticity. Fluid-struct...

We approximate the solutions of an initialand boundary-value problem for nonlinear Schrödinger equations (with emphasis on the ‘cubic’ nonlinearity) by two fully discrete finite element schemes based on the standard Galerkin method in space and two implicit, Crank–Nicolson-type second-order accurate temporal discretizations. For both schemes we study the existence and uniqueness of their soluti...

purpose: triage is a complicated and dynamic process in nature. moreover, there are many challenges in selecting the required information about the casualties, the wounded, and the type of accident at the time of crisis. hence, this research was undertaken to present a new strategy for efficiently triaging casualties in the battlefield. methodology: in this review, two methods of field and libr...

We develop and analyze a class of maximum bound preserving schemes for approximately solving Allen–Cahn equations. apply kth-order single-step scheme in time (where the nonlinear term is linearized by multi-step extrapolation), lumped mass finite element method space with piecewise rth-order polynomials Gauss–Lobatto quadrature. At each level, cut-off post-processing proposed to eliminate extra...

In recent years, flexible manufacturing system as a response to market demands has been proposed to increase product diversity, optimum utilization of machines andperiods of short-term products.The development of computer systems has provided the ability to build machines with high functionality and the necessary flexibility to perform various operations. However, due to the complexity and the ...

In hot forming process, the workpiece undergoes plastic deformation at high temperature and the microstructure of the workpiece changes according to the plastic deformation. These changes affect the mechanical properties of workpiece. In order to optimize this process, both the plastic deformation of workpiece and its microstructural changes should be taken into consideration. Since material be...