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math.NA2024★ 2 cited
Polynomial quasi-Trefftz DG for PDEs with smooth coefficients: elliptic problems
Lise-Marie Imbert-Gérard, Andrea Moiola, Chiara Perinati +1
Trefftz schemes are high-order Galerkin methods whose discrete spaces are made of elementwise exact solutions of the underlying PDE. Trefftz basis functions can be easily computed…
math.NA2024
Stable approximation of Helmholtz solutions in the 3D ball using evanescent plane waves
Nicola Galante, Andrea Moiola, Emile Parolin
The goal of this paper is to show that evanescent plane waves are much better at numerically approximating Helmholtz solutions than classical propagative plane waves. By generalizi…