44 citations · 91 across the 11 of their papers we have counts for
5 papers · 1 filter
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…
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…
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…
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…