Quasi-Monte Carlo (QMC) methods have become important numerical tools in computational finance. Many studies have demonstrated the greater efficiency of QMC relative to Monte Carlo (MC) methods, even for pricing high-dimensional exotic derivative securities. Some of these studies have argued the importance of effective dimension in determining the efficiency of QMC. Consequently, dimension redu...

The purpose of this paper is control of simply supported flexible core sandwich beam's linear vibration equipped with piezoelectric patches under different loads. The effects of external forces imposed on sandwich beam can be reached to a minimum value by designing an appropriate controller and control the beam's vibration. Three-layer sandwich beam theory is used for analytical modeling of san...

Hydraulic fracturing (HF), as a stimulation technique in petroleum engineering, has made possible the oil production from reservoirs with very low permeability. The combination of horizontal drilling and multiple HF with various perforation angles has been widely used to stimulate oil reservoirs for economical productions. Despite the wide use of HF, there are still ambiguous aspects that requi...

The Green's function and the boundary element method for analysing fracture behaviour of cracks in piezoelectric half-plane are presented in this paper. By combining Stroh formalism and the concept of perturbation, a general thermoelectroelastic solution for half-plane solid subjected to point heat source and/or temperature discontinuity has been derived. Using the proposed solution and the pot...

Current methods for computing vortex sheet separation use a regularization parameter which is discontinuous from the body to the vortex sheet. We propose two methods for reducing the errors associated with the discontinuity and improving convergence with respect to the regularization parameter. The ‘‘velocity smoothing” method is the simpler of the two, and removes the discontinuity in regulari...

Abstract Discontinuity layout optimization (DLO) is a powerful numerical limit analysis technique that can be used to identify the collapse load and associated failure mechanism of solid or structure. The method successfully automates traditional ‘upper bound’ plasticity, with applications including metal extrusion problems, where die forces are sought, geotechnical engineering stability founda...