Now showing items 1-9 of 9
A two-level overlapping Schwarz method for H(curl) in two dimensions with irregular subdomains
A bound is obtained for the condition number of a two-level overlapping Schwarz algorithm for problems posed in H(curl) in two dimensions, where the subdomains are only assumed to be John subdomains. The coarse space is ...
An adaptive choice of primal constrains for BDDC domain decomposition algorithms
An adaptive choice for primal spaces based on parallel sums is developed for BDDC deluxe methods and elliptic problems in three dimensions. The primal space, which forms the global, coarse part of the domain decomposition ...
Domain Decomposition Methods for Problems in H(curl)
Two domain decomposition methods for solving vector field problems posed in H(curl) and discretized with Nedelec finite elements are considered. These finite elements are conforming in H(curl). A two-level overlapping ...
The role of short-term immigration on disease dynamics: An SIR model with age-structure
El rol de la inmigración en periodos cortos sobre la dinámica de enfermedades: un modelo sir con estructura de edad
We formulate an age-structured nonlinear partial differential equation model that features short-term immigration effects in a population. Individuals can immigrate into the population as any of the three stages in the ...
A Two-Patch Epidemic Model with Nonlinear Reinfection
Un modelo epidémico de dos poblaciones con reinfección no lineal
The propagation of infectious diseases and its impact on individuals play a major role in disease dynamics, and it is important to incorporate population heterogeneity into efforts to study diseases. As a simplistic but ...
A partial differential equation model with age-structure and nonlinear recidivism: Conditions for a backward bifurcation and a general numerical implementation
We formulate an age-structured three-staged nonlinear partial differential equation model that features nonlinear recidivism to the infected (infectious) class from the temporarily recovered class. Equilibria are computed, ...
Dengue model with early-life stage of vectors and age-structure within host
Modelo de dengue con etapa temprana en vectores y estructura de edad en el huésped
We construct an epidemic model for the transmission of dengue fever with an early-life stage in the vector dynamics and age-structure within hosts. The early-life stage of the vector is modeled via a general function that ...
Mathematical and Statistical models as tools for the control ofmosquito-borne diseases: The experience of Costa Rica
The modeling of infectious diseases provides valuable input in the development of mitigating strategies and implementation of public health interventions. We highlight results and current research conducted in Costa Rica ...
A numerical implementation for the high-order 2D Virtual Element Method in MATLAB
We present a numerical implementation for the Virtual Element Method that in- corporates high order spaces. We include all the required computations in order to assemble the stiffness and mass matrices, and right hand ...