44 citations · 91 across the 11 of their papers we have counts for
11 papers
Trefftz Discontinuous Galerkin approximation of an acoustic waveguide
Peter Monk, Manuel Pena, Virginia Selgas
We propose a modified Trefftz Discontinuous Galerkin (TDG) method for approximating a time-harmonic acoustic scattering problem in an infinitely elongated waveguide. In the wavegui…
The Time Domain Linear Sampling Method for determining the shape of multiple scatterers using electromagnetic waves
Timo Lähivaara, Peter Monk, Virginia Selgas
The time domain linear sampling method (TD-LSM) solves inverse scattering problems using time domain data by creating an indicator function for the support of the unknown scatterer…
Impedance eigenvalues in linear elasticity
Michael Levitin, Peter Monk, Virginia Selgas
This paper is devoted to studying impedance eigenvalues (that is, eigenvalues of a particular Dirichlet-to-Neumann map) for the time harmonic linear elastic wave problem, and their…
Near field linear sampling method for an inverse problem in an electromagnetic waveguide
Peter Monk, Virginia Selgas, Fan Yang
We consider the problem of determining the shape and location of an unknown penetrable object in a perfectly conducting electromagnetic waveguide. The inverse problem is posed in t…
Optimization methods for in-line holography
A. Carpio, T. G. Dimiduk, V. Selgas +1
We present a procedure to reconstruct objects from holograms recorded in in-line holography settings. Working with one beam of polarized light, the topological derivatives and ener…
A Trefftz Discontinuous Galerkin Method for Time Harmonic Waves with Generalized Impedance Boundary Conditions
Shelvean Kapita, Peter Monk, Virginia Selgas
We show how a Trefftz Discontinuous Galerkin (TDG) method for the displacement form of the Helmholtz equation can be used to approximate problems having a generalized impedance bou…
Noninvasive imaging of three dimensional micro and nanostructures by topological methods
A. Carpio, T. G. Dimiduk, M. L. Rapun +1
We present topological derivative and energy based procedures for the imaging of micro and nanostructures using one beam of visible light of a single wavelength. Objects with diame…
Analysis of a splitting-differentiation population model leading to cross-diffusion
Gonzalo Galiano, Virginia Selgas
Starting from the dynamical system model capturing the splitting-differentiation process of populations, we extend this notion to show how the speciation mechanism from a single sp…
On a cross-diffusion segregation problem arising from a model of interacting particles
Gonzalo Galiano, Virginia Selgas
We prove the existence of solutions of a cross-diffusion parabolic population problem. The system of partial differential equations is deduced as the limit equations satisfied by t…
Deterministic particle method approximation of a contact inhibition cross-diffusion problem
Gonzalo Galiano, Virginia Selgas
We use a deterministic particle method to produce numerical approximations to the solutions of an evolution cross-diffusion problem for two populations. According to the values of…
Variational views of stokeslets and stresslets
Francisco-Javier Sayas, Virginia Selgas
In this paper we present a self-contained variational theory of the layer potentials for the Stokes problem on Lipschitz boundaries. We use these weak definitions to show how to pr…