标量非线性守恒律的Adams-Bashforth间断伽辽金方法的先验误差估计
数值分析
2017-02-13 v2
摘要
本文展示了用于逼近带E通量的标量非线性守恒律光滑解的二阶Adams-Bashforth间断伽辽金方法的理论收敛性。我们还推导了一阶前向欧拉间断伽辽金方法的先验误差估计。收敛速率在时间上最优，在空间上次优；它们在CFL条件下成立。
引用
@article{arxiv.1701.08196,
title = {A priori error estimates of Adams-Bashforth discontinuous Galerkin methods for scalar nonlinear conservation laws},
author = {Charles Puelz and Beatrice Riviere},
journal= {arXiv preprint arXiv:1701.08196},
year = {2017}
}
备注
an updated version with some small errors fixed from the first version