论文标题
有关广义 - $α$方法的保护特性的注释
A note on the conservation properties of the generalized-$α$ method
论文作者
论文摘要
我们表明，在均匀的时间网格上的二阶准确广义 - $α$方法可以看作是移动的时间网格上的隐式中点方法。有了这个见解，我们证明了$α$ $α$的时间整合在保护法律系统的有限元空间离散化的时间内，导致一种完全存在的方法，当（i）（i）（i）时间整合是二阶准确的，（ii）统一的时间网格被雇用，（ii）空间ipaties conceptiation native of（ii）保守，（ii）保守，（ii）保守，（ii）。
We show that the second-order accurate generalized-$α$ method on a uniform temporal mesh may be viewed as an implicit midpoint method on a shifted temporal mesh. With this insight, we demonstrate generalized-$α$ time integration of a finite element spatial discretization of a conservation law system results in a fully-discrete method admitting discrete balance laws when (i) the time integration is second-order accurate, (ii) a uniform temporal mesh is employed, (iii) the spatial discretization is conservative, and (iv) conservation variables are discretized.
