Abstract
Local multi-trace formulations are a way to express transmission problems. They are based on integral formulations of the solution on each subdomain, and between the subdomains both the known jumps in the traces and the fluxes of the transmission problem are imposed, and thus the method contains multiple traces in its formulation. We show in this paper that it is possible to derive a closed form inverse for local multi-trace operators for an elliptic model problem.
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Acknowledgements
This work received support from the ANR research Grant ANR-15-CE23-0017-01.
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Ayala, A., Claeys, X., Dolean, V., Gander, M.J. (2017). Closed Form Inverse of Local Multi-Trace Operators. In: Lee, CO., et al. Domain Decomposition Methods in Science and Engineering XXIII. Lecture Notes in Computational Science and Engineering, vol 116. Springer, Cham. https://doi.org/10.1007/978-3-319-52389-7_9
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DOI: https://doi.org/10.1007/978-3-319-52389-7_9
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