Well-posed and stable transmission problems

Jan Nordström; Viktor Linders

doi:10.1016/j.jcp.2018.03.003

Well-posed and stable transmission problems

Jan Nordström, Viktor Linders

Linköping University

Research output: Contribution to journal › Article › peer-review

10 Citations (Scopus)

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	https://doi.org/10.1016/j.jcp.2018.03.003
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

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10.1016/j.jcp.2018.03.003

Cite this

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title = "Well-posed and stable transmission problems",

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.",

keywords = "Adaptive mesh refinement, Multi-grid, Numerical filter, Stability, Transmission problems, Well-posedness",

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AU - Nordström, Jan

AU - Linders, Viktor

PY - 2018/7/1

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N2 - 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.

AB - 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.

KW - Adaptive mesh refinement

KW - Multi-grid

KW - Numerical filter

KW - Stability

KW - Transmission problems

KW - Well-posedness

UR - https://www.scopus.com/pages/publications/85043504681

U2 - 10.1016/j.jcp.2018.03.003

DO - 10.1016/j.jcp.2018.03.003

M3 - Article

AN - SCOPUS:85043504681

SN - 0021-9991

VL - 364

SP - 95

EP - 110

JO - Journal of Computational Physics

JF - Journal of Computational Physics

ER -

Well-posed and stable transmission problems

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

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