Listar Matemática por autor "2901be99-7894-40c4-9a55-97d298c17eab"
Mostrando ítems 1-20 de 23
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A BDDC algorithm with deluxe scaling for H(curl) in two dimensions with irregular subdomains
Calvo Alpízar, Juan Gabriel (2015)A bound is obtained for the condition number of a BDDC algorithm for problems posed in H(curl) in two dimensions, where the subdomains are only assumed to be uniform in the sense of Peter Jones. For the primal variable ... -
A mathematical model with nonlinear relapse: conditions for a forward-backward bifurcation
Sánchez Peña, Fabio Ariel; Arroyo Esquivel, Jorge; Calvo Alpízar, Juan Gabriel (2023)We constructed a Susceptible-Addicted-Reformed model and explored the dynamics of nonlinear relapse in the Reformed population. The transition from susceptible considered at-risk is modeled using a strictly decreasing ... -
A Multilayer Network Model implementation for COVID-19
Calvo Alpízar, Juan Gabriel; Sánchez Peña, Fabio Ariel; Barboza Chinchilla, Luis Alberto; García Puerta, Yury Elena; Vásquez Brenes, Paola Andrea (2021)We present a numerical implementation for a multilayer network to model the transmission of Covid-19 or other diseases with a similar transmission mechanism. The model incorporates different contact types between individuals ... -
A multilayer network model of Covid-19: implications in public health policy in Costa Rica
Sánchez Peña, Fabio Ariel; Calvo Alpízar, Juan Gabriel; Mery Valdovinos, Gustavo Andrés; García Puerta, Yury Elena; Vásquez Brenes, Paola Andrea; Barboza Chinchilla, Luis Alberto; Pérez Rosales, María Dolores; Rivas Chaves, Tania (2022-05)Successful partnerships between researchers, experts, and public health authorities have been critical to navigate the challenges of the Covid-19 pandemic worldwide. In this collaboration, mathematical models have played ... -
A new coarse space for overlapping Schwarz algorithms for H(curl) problems in three dimensions with irregular subdomains
Calvo Alpízar, Juan Gabriel (2019)A new coarse space for a two-level overlapping Schwarz algorithm is presented for problems posed in three dimensions in the space H(curl, Ω). Previous studies for these methods are very restrictive about the geometry of ... -
A nonlinear relapse model with disaggregated contact rates: Analysis of a forward-backward bifurcation
Calvo Monge, Jimmy José; Sánchez Peña, Fabio Ariel; Calvo Alpízar, Juan Gabriel; Mena Arias, Darío Alberto (2023-09)Throughout the progress of epidemic scenarios, individuals in different health classes are expected to have different average daily contact behavior. This contact heterogeneity has been studied in recent adaptive models ... -
A numerical implementation for the high-order 2D Virtual Element Method in MATLAB
Herrera Garro, César; Corrales Barquero, Ricardo; Arroyo Esquivel, Jorge; Calvo Alpízar, Juan Gabriel (2021)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 ... -
A partial differential equation model with age-structure and nonlinear recidivism: Conditions for a backward bifurcation and a general numerical implementation
Sánchez Peña, Fabio Ariel; Calvo Alpízar, Juan Gabriel; Segura Ugalde, Esteban; Feng, Zhilan (2019-12-15)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, ... -
A two-level overlapping Schwarz method for H(curl) in two dimensions with irregular subdomains
Calvo Alpízar, Juan Gabriel (2015-10-07)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 ... -
A two-patch epidemic model with nonlinear reinfection
Calvo Alpízar, Juan Gabriel; Hernádez Alvarado, Alberto José; Porter, Mason A.; Sánchez Peña, Fabio Ariel (2020)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 ... -
An adaptive choice of primal constrains for BDDC domain decomposition algorithms
Calvo Alpízar, Juan Gabriel; Widlund, Olof B. (2016-12-12)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 ... -
An overlapping preconditioner for 2D virtual problems posed in H(rot) with irregular subdomains
Calvo Alpízar, Juan Gabriel; Herrera Garro, César; Sequeira Chavarría, Filander A. (2022)We present a two-level overlapping Schwarz preconditioner for problems posed in H(rot) in two dimensions, that extends previous methods for Nédélec elements (triangular meshes) to general polygonal partitions (virtual ... -
An overlapping Schwarz method for virtual element discretizations in two dimensions
Calvo Alpízar, Juan Gabriel (2019)A new coarse space for domain decomposition methods is presented for nodal ellipticproblems in two dimensions. The coarse space is derived from the novel virtual elementmethods and therefore can accommodate quite irregular ... -
Dengue model with early-life stage of vectors and age-structure within host
Sánchez Peña, Fabio Ariel; Calvo Alpízar, Juan Gabriel (2019-12)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 ... -
Domain Decomposition Methods for Problems in H(curl)
Calvo Alpízar, Juan Gabriel (2015-05)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 ... -
Implementación de una plataforma computacional para la solución de PDE's elípticas, mediante FEM y descomposición de dominios BDDC.
Mora Cordero, Fabian (2019)En este trabajo se desarrolla una plataforma computacional en C++-CUDA, la cual introduce una serie de estructuras de datos que simplifican el manejo de memoria en CUDA. En la plataforma también se introducen elementos de ... -
Mathematical and Statistical models as tools for the control ofmosquito-borne diseases: The experience of Costa Rica
Sánchez Peña, Fabio Ariel; Barboza Chinchilla, Luis Alberto; Vásquez Brenes, Paola Andrea; García Puerta, Yury Elena; Calvo Alpízar, Juan Gabriel; Chou Chen, Shu Wei; Mery Valdovinos, Gustavo Andrés (2021-06-25)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 ... -
On the approximation of a virtual coarse space for domain decomposition methods in two dimensions
Calvo Alpízar, Juan Gabriel (2018)A new extension operator for a virtual coarse space is presented which can be used in domain decomposition methods for nodal elliptic problems in two dimensions. In particular, a two-level overlapping Schwarz algorithm is ... -
Parallel Sums and Adaptive BDDC Deluxe
Widlund, Olof B.; Calvo Alpízar, Juan Gabriel (2017)There has recently been a considerable activity in developing adaptive methods for the selection of primal constraints for BDDC algorithms and, in particular, for BDDC deluxe variants. The primal constraints of a BDDC or ... -
The role of mobility and sanitary measures on the delay of community transmission of COVID-19 in Costa Rica
Barboza Chinchilla, Luis Alberto; Vásquez Brenes, Paola Andrea; Mery Valdovinos, Gustavo Andrés; Sánchez Peña, Fabio Ariel; García Puerta, Yury Elena; Calvo Alpízar, Juan Gabriel; Rivas Chaves, Tania; Pérez Rosales, María Dolores; Salas Peraza, Daniel (2021-07-21)The aim of this paper is to infer the effects that change on human mobility had on the transmission dynamics during the first four months of the SARS-CoV-2 pandemic in Costa Rica, which could have played a role in delaying ...