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math.NA2020★ 16 cited
A space-time quasi-Trefftz DG method for the wave equation with piecewise-smooth coefficients
Lise-Marie Imbert-Gérard, Andrea Moiola, Paul Stocker
Trefftz methods are high-order Galerkin schemes in which all discrete functions are elementwise solution of the PDE to be approximated. They are viable only when the PDE is linear…
math.NA2020★ 2 cited
Space-time discontinuous Galerkin approximation of acoustic waves with point singularities
Pratyuksh Bansal, Andrea Moiola, Ilaria Perugia +1
We develop a convergence theory of space-time discretizations for the linear, 2nd-order wave equation in polygonal domains , possibly occupied by piecewise ho…