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The purpose of this communication is to present a novel approach to compute the so called Topological Sensitivity (TS) of any variable or functional in elasticity using Boundary Integral Equations (BIE’s), and its use as a tool for identification of defects, by itself or in conjunction with zero-order methods, like Genetic Algorithms. The TS of a cost… (More)

- Pedro Alonso, Jorge Delgado, Rafael Gallego, Juan Manuel Peña
- J. Computational Applied Mathematics
- 2013

In this paper the most suitable algorithms for unconstrained optimization now available applied to an identi®cation inverse problem in elasticity using the boundary element method (BEM) are compared. Advantage is taken of the analytical derivative of the whole integral equation of the BEM with respect to the variation of the geometry, direct… (More)

- Juan Miguel López, Mario Castro, Rafael Gallego
- Physical review letters
- 2005

We argue that symmetries and conservation laws greatly restrict the form of the terms entering the long wavelength description of growth models exhibiting anomalous roughening. This is exploited to show by dynamic renormalization group arguments that intrinsic anomalous roughening cannot occur in local growth models. However, some conserved dynamics may… (More)

- Rafael Castro-Triguero, Senthil Murugan, Rafael Gallego, Michael I. Friswell
- 2013

This paper examines the influence of parametric uncertainties on the optimal sensor placement methodologies for the modal analysis of a truss bridge. Four classical sensor location methodologies are employed: two based on the Fisher information matrix and the other two based on energy matrix rank optimization. Young's modulus, mass density and cross… (More)

- Pedro Alonso, Javier Delgado, Rafael Gallego, Juan Manuel Peña
- Int. J. Comput. Math.
- 2009

- Rafael Gallego, Mario Castro, Juan Miguel López
- Physical review. E, Statistical, nonlinear, and…
- 2007

We present a comparison between finite differences schemes and a pseudospectral method applied to the numerical integration of stochastic partial differential equations that model surface growth. We have studied, in 1+1 dimensions, the Kardar, Parisi, and Zhang model (KPZ) and the Lai, Das Sarma, and Villain model (LDV). The pseudospectral method appears to… (More)

- Pedro Alonso, Jorge Delgado, Rafael Gallego, Juan Manuel Peña
- J. Computational Applied Mathematics
- 2011

The alternating iterative algorithm proposed by Kozlov et al. [An iterative method for solving the Cauchy problem for elliptic equations. USSR Comput Math Math Phys 1991;31:45–52] for obtaining approximate solutions to the Cauchy problem in twodimensional anisotropic elasticity is analysed and numerically implemented using the boundary element method (BEM).… (More)

- Alejandro E. Martı́nez-Castro, Rafael Gallego
- 2005

In this paper a new error estimator based on tangential derivative Boundary Integral Equation residuals for 2D Laplace and Helmholtz equations is shown. The direct problem for general mixed boundary conditions is solved using standard and hypersingular boundary integral equations. The exact solution is broken down into two parts: the approximated solution… (More)