Well-posed and stable transmission problems

JOURNAL OF COMPUTATIONAL PHYSICS

卷:364

Article

Nordstrom, Jan¹  Linders, Viktor¹ 

[1] Linkoping Univ, Dept Math, Computat Math, SE-58183 Linkoping, Sweden

关键词: Transmission problems;    Well-posedness;    Stability;    Adaptive mesh refinement;    Numerical filter;    Multi-grid;   

DOI  :  10.1016/j.jcp.2018.03.003

来源: Elsevier

【 摘 要 】

We introduce the notion of a transmission problem to describe a general class of problems where different dynamics are coupled in time. Well-posedness and stability are analysed for continuous and discrete problems using both strong and weak formulations, and a general transmission condition is obtained. The theory is applied to the coupling of fluid-acoustic models, multi-grid implementations, adaptive mesh refinements, multi-block formulations and numerical filtering. (C) 2018 Elsevier Inc. All rights reserved.

【 授权许可】

Free