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2024 | OriginalPaper | Chapter

Reconstruction of Boundary Conditions of a Parabolic-Hyperbolic Transmission Problem

Authors : Miglena N. Koleva, Lubin G. Vulkov

Published in: New Trends in the Applications of Differential Equations in Sciences

Publisher: Springer Nature Switzerland

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Abstract

We consider a special kind of interface partial differential equations problems, which solution is defined in a few disjoint distant domains, where the effect of the intermediate region (layer) is modeled by means of nonlocal jump conditions across the layer. Our aim is the numerical identification of external boundary conditions for parabolic-hyperbolic problems on disjoint domains from given point data. We develop decomposition techniques to obtain exact formulas for the unknown boundary conditions. A number of numerical examples are discussed.

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Title: Reconstruction of Boundary Conditions of a Parabolic-Hyperbolic Transmission Problem
Authors: Miglena N. Koleva
Lubin G. Vulkov
Publisher: Springer Nature Switzerland
Book: New Trends in the Applications of Differential Equations in Sciences
Print ISBN: 978-3-031-53211-5

Electronic ISBN: 978-3-031-53212-2

Copyright Year: 2024
DOI: https://doi.org/10.1007/978-3-031-53212-2_38

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