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.
Heterogeneous coupling by virtual control methods
GERVASIO, Paola;
2001-01-01
Abstract
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.File in questo prodotto:
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