arXivDaily arXiv每日学术速递 周一至周五更新
arXiv周末暂无论文更新,休息一下吧,周末愉快~~
arXiv 2210.09274math.OC
收藏

度量图上wave equation的离散化

Discretization of the wave equation on a metric graph

Sergei A. Avdonin, Aleksander S. Mikhaylov, Victor S. Mikhaylov, Abdon E. Choque-Rivero

摘要:

研究了具有离散时间的波动方程在离散图的节点处应设置什么条件的问题。这些条件的推导采用了变分方法。还绘制了与连续情况的平行图。作为一个例子,从边界的形状可控性问题进行了研究。

英文摘要:

The question of what conditions should be set at the nodes of a discrete graph for the wave equation with discrete time is investigated. The variational method for the derivation of these conditions is used. A parallel with the continuous case is also drawn. As an example the problem of shape controllability from the boundary is studied.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑