Abstract
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.
| Original language | English |
|---|---|
| Pages (from-to) | 95-110 |
| Number of pages | 16 |
| Journal | Journal of Computational Physics |
| Volume | 364 |
| DOIs | |
| Publication status | Published - 1 Jul 2018 |
| Externally published | Yes |
Keywords
- Adaptive mesh refinement
- Multi-grid
- Numerical filter
- Stability
- Transmission problems
- Well-posedness
ASJC Scopus subject areas
- Numerical Analysis
- Modeling and Simulation
- Physics and Astronomy (miscellaneous)
- General Physics and Astronomy
- Computer Science Applications
- Computational Mathematics
- Applied Mathematics