Publication
We discuss the impact of modal filtering in Legendre spectral methods, both on accuracy and stability. For the former, we derive sufficient conditions on the filter to recover high order accuracy away from points of discontinuity. Computational results confirm that less strict necessary conditions appear to be adequate. We proceed to discuss a instability mechanism in polynomial spectral methods and prove that filtering suffices to ensure stability. The results are illustrated by computational experiments.
Fabio Zoccolan, Gianluigi Rozza
Nicola Marzari, Giovanni Pizzi, Nicolas Frank Mounet, Martin Uhrin, Boris Kozinsky, Andrea Cepellotti, Fernando Gargiulo, Christoph Leopold Talirz, Leonid Kahle, Aliaksandr Yakutovich, Sebastiaan Philippe Huber, Andrius Merkys, Snehal Pramod Kumbhar, Conrad Johnston, Casper Welzel Andersen, Spyros Zoupanos, Elsa Passaro