Summary.
The virtual control method, recently introduced to approximate elliptic and parabolic problems by overlapping domain decompositions (see [7–9]), is proposed here for heterogeneous problems. Precisely, we address the coupling of an advection equation with a diffusion-advection equation, with the aim of modelling boundary layers. We investigate both overlapping and non-overlapping (disjoint) subdomain decompositions. In the latter case, several cost functions are considered and a numerical assessment of our theoretical conclusions is carried out.
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Received October 2, 2000 / Published online May 30, 2001
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Gervasio, P., Lions, JL. & Quarteroni, A. Heterogeneous coupling by virtual control methods. Numer. Math. 90, 241–264 (2001). https://doi.org/10.1007/s002110100303
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DOI: https://doi.org/10.1007/s002110100303