Abstract: Nonconforming isogeometric analysis (NIGA) with FETI method was proposed. The major purpose was to enable applying the isogeometric analysis directly to the NURBS models with trimmed patches for more general and practical engineering applications. The basic idea was to use the NURBS version of FETI ...
Abstract: Based on the fixed point concept in functional analysis, the fixed point method (FPM) was used to analyze the invisicd stability equation of the mixing layer, and an explicit semi-analytical solution in Legendre series form was obtained. It is different from other existing analytical methods, such a...
Abstract: A symplectic approach was proposed to solve the nonlinear closed-loop feedback control problems. First, the optimal control problems of the nonlinear system were transformed into the iteration form of linear Hamilton system’s two-point boundary value problems. Second, a symplectic numerical approach...
Abstract: The traditional immersed boundary method has only first-order accuracy near boundary. Existing improvements need additional jump conditions thus are not general. A novel method based on filter and deconvolution was introduced. It improved the accuracy, and avoided the problems of jump conditions. A ...
Abstract: Algorithm of super-convergent in two-dimensional finite element of lines (FEMOL) based on improved displacement mode is presented. An explicit analytical formula of super-convergent calculating was derived with the conditions of equilibrium equations stuictly met within the element, of which the dis...
Abstract: The existing wind resistant optimization research on wind-sensitive structures mostly focused on high-rise buildings, and large span roof structures were seldom involved. The wind resistant optimization problem under multi-constraints like strength, stiffness and geometric dimensions, was converted ...
Abstract: A class of new generalized convex function——semistrict-G-semi-preinvex functions is given.It is an important class of generalized convex function. It is a true generalization of semistrict preinvex functions and semistrict-G-preinvex functions. First, an example was given to show that there exist se...
Abstract: A mathematical model for pressure field caused by the ship moving at subcritical speed in shallow water was established, based on the shallow water wave potential flow theory and slender ship assumption. The pressure field caused by the ship moving at subcritical speed in shallow water was calculate...
Abstract: Fluid flow and heat transfer of single-phase steady laminar flow in a rectangular micro-channel were investigated by analytic method. Based on the assumption of constant flow velocity and heat transfer along y-direction, flow velocity and heat transfer equations for fluid flow in the rectangular mic...
Abstract: Derived from thermo dynamic principle, the capillary hysteresis internal variable model is capable of describing the capillary hysteretic phenomena in unsaturated soils. The mathematical characteristics of this model were studied, followed by a numerical experimentation with classical Euler method, ...
Abstract: Non-probabilistic models for structural reliability, which are based on interval analysis, are much less demanding in data when compared with probabilistic reliability models and fuzzy reliability models. Therefore, study of non-probabilistic models for structural reliability becomes more and more s...
