In this article, we conduct an a posteriori error analysis of the two‐dimensional time‐dependent Stokes problem with homogeneous Dirichlet boundary conditions, which can be extended to mixed boundary conditions. We present a full time–space discretization using the discontinuous Galerkin method with polynomials of any degree in time and the ℙ2 − ℙ1 Taylor–Hood finite elements in space, and propose an a posteriori residual‐type error estimator. The upper bounds involve residuals, which are global in space and local in time, and an L2‐error term evaluated on the left‐end point of time step. From the error estimate, we compute local error indicators to develop an adaptive space/time mesh refinement strategy. Numerical experiments verify our theoretical results and the proposed adaptive strategy.

El ruteo de vehículos procura encontrar soluciones cercanas al óptimo (debido a su alta complejidad de acuerdo al número de nodos o clientes) para minimizar los costos de operación o maximizar el número de clientes atendidos. En el presente trabajo presentamos la aplicación del método de ruteo heurístico de Clarke Wright, para el mismo problema abordado en el documento “Localización de bodegas y asignación de clientes (FLP) en supermercados de Barranquilla”. Las técnicas implementadas revelan como resultado un enrutamiento de menor costo a cada cliente.

Summary In this paper, we propose a numerical method based on an active structural control to dampen the discrete critical frequencies from a fe/be coupled system, which models a time‐harmonic fluid‐structure interaction problem. The active structural acoustic control used consists of applying external forces directly on the structure, so that in the presence of critical frequencies, the linear system remains stable and, in turn, in the presence of non‐critical frequencies, the active control does not alter the system. We consider the problem in the framework of the theory of optimal control and present bi‐dimensional numerical simulations to show the behavior of the scheme in some vibro‐acoustic structures. Copyright © 2016 John Wiley & Sons, Ltd.