99 citations · 527 across the 36 of their papers we have counts for
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A space-time continuous and coercive formulation for the wave equation
Paolo Bignardi, Andrea Moiola
We propose a new space-time variational formulation for wave equation initial-boundary value problems. The key property is that the formulation is coercive (sign-definite) and cont…
Integral equation methods for acoustic scattering by fractals
A. M. Caetano, S. N. Chandler-Wilde, X. Claeys +3
We study sound-soft time-harmonic acoustic scattering by general scatterers, including fractal scatterers, in 2D and 3D space. For an arbitrary compact scatterer we reformulate…
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…
A space-time DG method for the Schrödinger equation with variable potential
Sergio Gómez, Andrea Moiola
We present a space-time ultra-weak discontinuous Galerkin discretization of the linear Schrödinger equation with variable potential. The proposed method is well-posed and quasi-opt…
An unconditionally stable space-time isogeometric method for the acoustic wave equation
Sara Fraschini, Gabriele Loli, Andrea Moiola +1
We study space--time isogeometric discretizations of the linear acoustic wave equation that use splines of arbitrary degree p, both in space and time. We propose a space--time vari…
Explicit bounds for the high-frequency time-harmonic Maxwell equations in heterogeneous media
Théophile Chaumont-Frelet, Andrea Moiola, Euan A. Spence
We consider the time-harmonic Maxwell equations posed in . We prove a priori bounds on the solution for coefficients and satisfying certain monoton…