99 citations · 527 across the 36 of their papers we have counts for
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Trefftz DG Approximation of the T-Matrix for Scattering by Periodic Layered Structures
Armando Maria Monforte, Andrea Moiola, Simone Zanotto
We study the scattering of time-harmonic electromagnetic waves by periodic layered gratings, modelled by the 2D Helmholtz equation. The periodic obstacle may include penetrable and…
A space-time sparse-grid method for the wave equation
Matteo Ferrari, Andrea Moiola, Chiara Perinati +1
We develop a fast space-time numerical scheme for approximating solutions to the linear wave equation. The approach is based on the sparse-grid combination technique applied to a c…
A discontinuous Galerkin method with fractal elements
Sergio Gómez, David Hewett, Andrea Moiola
We formulate, analyse, and implement a discontinuous Galerkin finite element method (DG-FEM) for the approximation of the solution of an elliptic boundary value problem in a domain…
Trefftz methods with evanescent plane waves
Andrea Moiola, Nicola Galante, Emile Parolin
Classical Trefftz methods approximate Helmholtz solutions using propagative plane waves and are subject to strong numerical instabilities. Evanescent plane wave bases can substanti…
A discontinuous Galerkin method for elliptic-hyperbolic equations: the Tricomi problem
Chiara Perinati, Lise-Marie Imbert-Gérard, Andrea Moiola +1
We present and analyze a discontinuous Galerkin method for the numerical solution of a class of second-order linear mixed-type partial differential equations, i.e. equations that c…