6 citations · 6 across the 7 of their papers we have counts for
8 papers
A Multilevel Interacting Particle System Method for the estimation of Failure Probabilities
Rubén Aylwin, José Pinto
We propose a novel method that combines a multilevel decomposition with the framework of Interacting Particle Systems to compute the probability that given quantities of interest t…
Integral Formulations for two-dimensional Multi-Arcs
Jose Pinto, Ruben Aylwin
We study the Laplace equation with Dirichlet and Neumann boundary conditions posed on multi-arcs, i.e., collections of open arcs meeting at junction points. We begin by introducing…
Fractional differential equations: non-constant coefficients, simulation and model reduction
Ruben Aylwin, Göksu Oruc, Karsten Urban
We consider boundary value problems with Riemann-Liouville fractional derivatives of order with non-constant diffusion and reaction coefficients. A variational formul…
Multilevel Domain Uncertainty Quantification in Computational Electromagnetics
Rubén Aylwin, Carlos Jerez-Hanckes, Christoph Schwab +1
We continue our study [Domain Uncertainty Quantification in Computational Electromagnetics, JUQ (2020), 8:301--341] of the numerical approximation of time-harmonic electromagnetic…
Finite-Element Domain Approximation for Maxwell Variational Problems on Curved Domains
Rubén Aylwin, Carlos Jerez-Hanckes
We consider the problem of domain approximation in finite element methods for Maxwell equations on curved domains, i.e., when affine or polynomial meshes fail to exactly cover the…
Fast Solver for Quasi-Periodic 2D-Helmholtz Scattering in Layered Media
José Pinto, Rubén Aylwin, Carlos Jerez-Hanckes
We present a fast spectral Galerkin scheme for the discretization of boundary integral equations arising from two-dimensional Helmholtz transmission problems in multi-layered perio…
The effect of quadrature rules on finite element solutions of Maxwell variational problems. Consistency estimates on meshes with straight and curved elements
Rubén Aylwin, Carlos Jerez-Hanckes
We study the effects of numerical quadrature rules on error convergence rates when solving Maxwell-type variational problems via the curl-conforming or edge finite element method.…
Optimization methods for achieving high diffraction efficiency with perfect electric conducting gratings
Rubén Aylwin, Gerardo Silva-Oelker, Carlos Jerez-Hanckes +1
This work presents the implementation, numerical examples and experimental convergence study of first- and second-order optimization methods applied to one-dimensional periodic gra…