In this paper we discuss a CSG/BSP algorithm to perform the conversion from the boundary to the interior of d-dimensional polyhedra. Both a d-dimensional polyhedral point-set and its boundary (d 1)-faces are here represented as BSP trees. In this approach no structure, no ordering and even no orientation is required for such boundary BSP trees. In particular it is shown that the interior point-...

The modeling of finite-extent semiconductor nanostructures that are embedded in a host material requires a proper boundary treatment for a finite simulation domain. For the study of a self-assembled InAs dot embedded in GaAs, three kinds of boundary conditions are examined within the empirical tight-binding model: ~i! the periodic boundary condition, ~ii! raising the orbital energies of surface...

In this paper, we characterize all interior and boundary equilibria of the GrovesLedyard mechanism for a large class of economies and demonstrate their stability or lack thereof. We prove that the mechanism implements large numbers of inefficient and stable boundary equilibria, one for each of the efficient, asymmetric, interior equilibria found by Bergstrom, Simon, and Titus (BST). We show tha...

Boundary integral methods for the solution of boundary value PDEs are an alternative to ‘interior’ methods, such as finite difference and finite element methods. They are attractive on domains with corners, particularly when the solution has singularities at these corners. In these cases, interior methods can become excessively expensive, as they require a finely discretised 2D mesh in the vici...

In this paper we discuss a CSG BSP algorithm to perform the conversion from the boundary to the interior of d dimensional polyhedra Both a d dimensional polyhedral point set and its boundary d faces are here represented as BSP trees In this approach no structure no ordering and even no orientation is required for such boundary BSP trees In particular it is shown that the interior point set may ...

In this paper, the effect of different boundary conditions on the free vibration analysis response of a sandwich plate is presented using the higher order shear deformation theory. The face sheets are orthotropic laminated composites that follow the first order shear deformation theory (FSDT) based on the Rissners-Mindlin (RM) kinematics field. The motion equations are derived considering the c...

in this paper, nonlinear behavior of composite steel plate shear wall systems, in which steel infill plate is strengthened by fiber reinforced polymer (frp) layers, are experimentally investigated. tests are designed to evaluate the effect of glass-frp layers, layers number of gfrp and orientation of gfrp layers on the stiffness, shear strength, cumulative dissipated energy and other seismic pa...