.png){kind=icon}
返回
Mimetic finite difference method
.png){kind=icon}
PRE
AI
DOI：10.1016/j.jcp.2013.07.031.png)
.png){kind=icon}
原文求助.png){kind=icon}
分享.png){kind=icon}
收藏
摘要
En 中文
The mimetic finite difference (MFD) method mimics fundamental properties of mathematical and physical systems including conservation laws, symmetry and positivity of solutions, duality and self-adjointness of differential operators, and exact mathematical identities of the vector and tensor calculus. This article is the first comprehensive review of the 50-year long history of the mimetic methodology and describes in a systematic way the major mimetic ideas and their relevance to academic and real-life problems. The supporting applications include diffusion, electromagnetics, fluid flow, and Lagrangian hydrodynamics problems. The article provides enough details to build various discrete operators on unstructured polygonal and polyhedral meshes and summarizes the major convergence results for the mimetic approximations. Most of these theoretical results, which are presented here as lemmas, propositions and theorems, are either original or an extension of existing results to a more general formulation using polyhedral meshes. Finally, flexibility and extensibility of the mimetic methodology are shown by deriving higher-order approximations, enforcing discrete maximum principles for diffusion problems, and ensuring the numerical stability for saddle-point systems. (C) 2013 Elsevier Inc. All rights reserved.
Keyword:
Mimetic finite difference method
Discrete vector and tensor calculus
Lagrangian hydrodynamics
期刊
IF:
3.8
论文数:
1.6W
被引数:
7.4W
机构
引用论文
.png){kind=icon}
分享收藏Effect of Temperature Cycling and High Temperature Aging on the Elastic Properties and Failure Modes of Thermal Interface Materials温度循环和高低温老化对热界面材料弹性性能和失效模式的影响
PREAI
分享收藏Kinetics of cyclosporine A-induced inhibition of succinate-coenzyme Q dehydrogenase in rat renal cortical mitochondria环孢素A对大鼠肾皮质线粒体琥珀酸-辅酶Q脱氢酶抑制作用的动力学研究
PREAI
分享收藏Fatty Acid Profiles of Erwinia amylovora as Influenced by Growth Medium, Physiological Age and Experimental ConditionsErwinia amylovora脂肪酸谱受培养基、生理年龄和实验条件的影响
PREAI
分享收藏
查看更多内容