High order schemes for gradient flow with respect to a metric

被引：0

作者：

Han, Saem ^{[1
]}

Esedoglu, Selim ^{[1
]}

Garikipati, Krishna ^{[1
,2
,3
]}

机构：

[1] Univ Michigan, Dept Math, Ann Arbor, MI 48109 USA

[2] Univ Michigan, Dept Mech Engn, Ann Arbor, MI 48109 USA

[3] Univ Michigan, Michigan Inst Computat Discovery & Engn, Ann Arbor, MI 48109 USA

来源：

JOURNAL OF COMPUTATIONAL PHYSICS | 2023年 / 494卷

基金：

美国国家科学基金会;

关键词：

High order schemes; Gradient flow; Energy stability; Minimizing movements; VARIATIONAL FORMULATION;

D O I：

10.1016/j.jcp.2023.112516

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

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.

引用

页数：15

共 10 条

[1] CURVATURE-DRIVEN FLOWS - A VARIATIONAL APPROACH [J].