99 citations · 430 across the 30 of their papers we have counts for
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On polynomial Trefftz spaces for the linear time-dependent Schrödinger equation
Sergio Gómez, Andrea Moiola, Ilaria Perugia +1
We study the approximation properties of complex-valued polynomial Trefftz spaces for the -dimensional linear time-dependent Schrödinger equation. More precisely, we prove t…
Design and performance of a space-time virtual element method for the heat equation on prismatic meshes
Sergio Gómez, Lorenzo Mascotto, Ilaria Perugia
We present a space-time virtual element method for the discretization of the heat equation, which is defined on general prismatic meshes and variable degrees of accuracy. Strategie…
Geometry-based approximation of waves in complex domains
Davide Pradovera, Monica Nonino, Ilaria Perugia
We consider wave propagation problems over 2-dimensional domains with piecewise-linear boundaries, possibly including scatterers. We assume that the wave speed is constant, and tha…