论文标题
认证的网络阻尼波方程的基本方法
Certified Reduced Basis Method for the Damped Wave Equations on Networks
论文作者
论文摘要
在本文中，我们提出了一种减少的基础方法，该方法可产生结构预处理，并在网络上模拟阻尼波动方程的模拟后，后验误差构成。误差绑定是基于系统内部能量的指数衰减，因此允许无需正则化参数即可实现尖锐的界限。减少解决方案对真实解决方案的快速收敛以及界限的紧密度以数值为例，以数值为例。
In this paper we present a reduced basis method which yields structure-preservation and a tight a posteriori error bound for the simulation of the damped wave equations on networks. The error bound is based on the exponential decay of the energy inside the system and therefore allows for sharp bounds without the need of regularization parameters. The fast convergence of the reduced solution to the truth solution as well as the tightness of the error bound are verified numerically using an academic network as example.
