受Friedrichs理论启发的帐篷 pitching 方案
A tent pitching scheme motivated by Friedrichs theory
AI总结：
本文提出一种受Friedrichs理论启发的帐篷 pitching 方案，设计了符合弱连续性的空间时间有限元方案，并展示了模型一维波传播问题的数值结果。
摘要：
某些Friedrichs系统可以在用图范数规范的Hilbert空间上提出。来自输运问题的此类空间中的函数在流入和流出边界交汇点处显示出弱连续性性质。受此连续性性质启发，设计了一种显式空间时间有限元方案，该方案的空间符合连续性性质。展示了模型一维波传播问题的数值结果。
英文摘要：
Certain Friedrichs systems can be posed on Hilbert spaces normed with a graph norm. Functions in such spaces arising from advective problems are found to have traces with a weak continuity property at points where the inflow and outflow boundaries meet. Motivated by this continuity property, an explicit space-time finite element scheme of the tent pitching type, with spaces that conform to the continuity property, is designed. Numerical results for a model one-dimensional wave propagation problem are presented.
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