High order schemes for gradient flow with respect to a metric
High order schemes for gradient flow with respect to a metric
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相对于度量的梯度流的高阶方案
DOI：
10.1016/j.jcp.2023.112516
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发表时间：
2023
影响因子：
4.1
通讯作者：
Garikipati, Krishna
中科院分区：
文献类型：
--
作者：
Han, Saem;Esedoḡlu, Selim;Garikipati, Krishna
多步，多阶段，和混合计划的能量稳定性的新标准的背景下，出现的梯度流相对于一个度量的演化方程。这些标准被用来展示二阶和三阶一致的，能量稳定的计划，然后证明了几个偏微分方程，出现梯度流相对于2-Wasserstein度量。
New criteria for energy stability of multi-step, multi-stage, and mixed schemes are introduced in the context of evolution equations that arise as gradient flow with respect to a metric. These criteria are used to exhibit second and third order consistent, energy stable schemes, which are then demonstrated on several partial differential equations that arise as gradient flow with respect to the 2-Wasserstein metric.