The /q-Mortar Finite-Element Method for the Mixed Elasticity and Stokes Problems

Abstract-Th

Computational and Mathematical Methods to Estimate the Basic Reproduction Number and Final Size for Single-Stage and Multistage Progression Disease Models for Zika with Preventative Measures

We present new mathematical models that include the impact of using selected preventative measures such as insecticide treated nets (ITN) in controlling or ameliorating the spread of the Zika virus. For these models, we derive the basic reproduction number and sharp estimates for the final size relation. We first present a single-stage model which is later extended to a new multistage model for Zika that incorporates more realistic incubation stages for both the humans and vectors. For each of these models, we derive a basic reproduction number and a final size relation estimate. We observe that the basic reproduction number for the multistage model converges to expected values for a standard Zika epidemic model with fixed incubation periods in both hosts and vectors. Finally, we also perform several computational experiments to validate the theoretical results obtained in this work and study the influence of various parameters on the models

A computational multilevel approach for solving 2D Navier-Stokes equations over non-matching grids

A multilevel approach with parallel implementation is developed for obtaining fast solutions of the Navier-Stokes equations solved on domains with non-matching grids. The method relies on computing solutions over different subdomains with different multigrid levels by using multiple processors. A local Vanka-type relaxation operator for the multigrid solution of the Navier-Stokes system allows solutions to be computed at the element level. The natural implementation on a multiprocessor architecture results in a straightforward and flexible algorithm. Numerical computations are presented, using benchmark applications, in order to support the method. Parallelization is discussed to achieve proper accuracy, load balancing and computational efficiency between different processors

Stability of Membrane Elastodynamics with Applications to Cylindrical Aneurysms

The enlargement and rupture of intracranial and abdominal aortic aneurysms constitutes a major medical problem. It has been suggested that enlargement and rupture are due to mechanical instabilities of the associated complex fluid-solid interaction in the lesions. In this paper, we examine a coupled fluid-structure mathematical model for a cylindrical geometry representing an idealized aneurysm using both analytical and numerical techniques. A stability analysis for this subclass of aneurysms is presented. It is shown that this subclass of aneurysms is dynamically stable both with and without a viscoelastic contribution to the arterial wall

Автоматизированная система управления энергоснабжением предприятия

В данном докладе представлена автоматизированная система управления энергоснабжением с функцией обеспечения бесперебойного электропитания на объектах, критичных к исчезновению питания. Система выполнена с применением современных технологий на основе промышленных микропроцессоров, сопутствующих модулей и соответствующего специализированного программного обеспечения

A Multilevel Domain Decomposition Methodology for Solving Coupled Problems in Fluid-Structure Interaction

Efficient solutions of complex coupled processes involving Fluid-Structure-Thermal interactions are still a challenging problem in computational sciences and engineering. Currently there exist numerous public-domain and commercial codes available for Computational Fluid Dynamics (CFD), Computational Structural Dynamics (CTD) and Computational Thermodynamics (CTD). Different groups specializing in modeling individual process such as CSD, CFD, CTD often come together to solve a complex coupled application. Direct numerical simulation of the non-linear equations, governing even the most simplified Fluid-Structure-Thermal interaction model depends on the convergence of iterative solvers which in turn relies heavily on the properties of the coupled system. The purpose of this paper is to introduce a flexible multilevel algorithm with finite elements that can be used to study a coupled Fluid-Structure-Thermal interaction (FSTI). The method relies on decomposing the complex global domain, into several local sub-domains; solving smaller problems over these sub-domains and then gluing back the local solution in an efficient and accurate fashion to yield the global solution. Our numerical results suggest that the proposed solution methodology is robust and reliabl

Mathematical modeling, analysis and simulation of the spread of Zika with influence of sexual transmission and preventive measures

The Zika arbovirus transmitted by the Aedes aegypti mosquitoes has been shown to be capable of infecting humans via two routes: the bites of infected vectors and through sexual contacts involving infected and non-infected persons. There is no treatment and current prevention or mitigating efforts rely on the use of the Centers for Disease Control and Prevention recommendations including the use of insecticide-treated bed nets (ITN) and indoor residual spraying (IRS). In this work, we investigate via a mathematical model, the role of ITN and IRS as methods for limiting the impact of Zika transmission. We introduce a model that builds on classical SEIR epidemiological single outbreak models. We compute the basic and control reproduction numbers and the final epidemic size in the presence of control measures ITN and IRS. We derive a gross estimate for the rate of sexual transmission, during the initial stages of the outbreak, in terms of prior estimates of the basic reproduction number from related albeit not sexually transmitted arboviral diseases