基于 first-order-in-time 变分形式的波方程不锋利空间-时间离散化
数值分析
2025-06-09 v1 数值分析
摘要
In this paper, we present a conforming space-time discretization of the wave equation based on a first-order-in-time variational formulation with exponential weights in time. We analyze the method, showing its stability without imposing any restrictions on the mesh size or time step, and proving quasi-optimal convergence for any choice of space-time tensor product discrete spaces that satisfies standard approximation assumptions. Numerical examples are provided to support the theoretical findings.
关键词
引用
@article{arxiv.2506.05886,
title = {Inf-sup stable space-time discretization of the wave equation based on a first-order-in-time variational formulation},
author = {Matteo Ferrari and Ilaria Perugia and Enrico Zampa},
journal= {arXiv preprint arXiv:2506.05886},
year = {2025}
}