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Bibliographic Details
Main Authors: Imbert-Gérard, Lise-Marie, Lagardère, Andréa, Sylvand, Guillaume, Tordeux, Sébastien
Format: Preprint
Published: 2025
Subjects:
Online Access:https://arxiv.org/abs/2509.08936
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Table of Contents:
  • This work is concerned with the development of quasi-Trefftz methods for first-order differential systems. It focuses on discrete quasi-Trefftz spaces, starting from their definition and including the construction of corresponding bases together with their computational aspect. This is the first attempt at constructing quasi-Trefftz bases for a problem governed by a first-order system without relying on an auxiliary scalar equation. A decoupling approach, with a second order scalar equation for the one unknown, is proposed here simply as a point of comparison to this new approach.