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Well-posed and stable transmission problems
Linköping University, Department of Mathematics, Computational Mathematics. Linköping University, Faculty of Science & Engineering.ORCID iD: 0000-0002-7972-6183
Linköping University, Department of Mathematics, Computational Mathematics. Linköping University, Faculty of Science & Engineering.
2018 (English)In: Journal of Computational Physics, ISSN 0021-9991, E-ISSN 1090-2716, Vol. 364, p. 95-110Article in journal (Refereed) Published
Abstract [en]

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.

Place, publisher, year, edition, pages
Elsevier, 2018. Vol. 364, p. 95-110
Keywords [en]
Transmission problems; Well-posedness; Stability; Adaptive mesh refinement; Numerical filter; Multi-grid
National Category
Mathematics
Identifiers
URN: urn:nbn:se:liu:diva-146206DOI: 10.1016/j.jcp.2018.03.003ISI: 000432481000005OAI: oai:DiVA.org:liu-146206DiVA, id: diva2:1194268
Note

Funding agencies: Swedish Meteorological and Hydrological Institute (SMHI)

Available from: 2018-03-29 Created: 2018-03-29 Last updated: 2018-06-14

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The full text will be freely available from 2020-03-28 16:03
Available from 2020-03-28 16:03

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Nordström, JanLinders, Viktor

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