非协调Trefftz虚单元方法:一般框架、应用及Helmholtz方程的频散分析
数值分析
2021-02-24 v1 数值分析
摘要
我们综述了求解Laplace与Helmholtz方程的非协调Trefftz虚单元方法。对于后者,我们基于更弱的稳定化假设给出了新的抽象分析,并给出了频散分析的数值结果,包括与平面波间断Galerkin方法的比较。
引用
@article{arxiv.2102.11581,
title = {The nonconforming Trefftz virtual element method: general setting, applications, and dispersion analysis for the Helmholtz equation},
author = {L. Mascotto and I. Perugia and A. Pichler},
journal= {arXiv preprint arXiv:2102.11581},
year = {2021}
}
备注
arXiv admin note: substantial text overlap with arXiv:1906.09965