Abstract
The multidomain technique for elliptic problems, that allows the fulfillment of the interface conditions by means of a suitable combination of the continuity of the solution and of its normal derivative, is considered. Some choices of this combination are investigated and, in particular, a choice that allows the solution of the multidomain problem through two solutions for each subproblem, is proposed. The scheme has been discretized with a collocation method and some numerical tests are reported. Moreover the method is compared with the more classical Dirichlet/Neumann one as well as with the capacitance matrix method.
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This research has been supported by a grant from M.P.I. (40%).
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Pasquarelli, F. Spectral multidomain approximation of elliptic problems with mixed conditions on the interfaces. J Sci Comput 10, 289–304 (1995). https://doi.org/10.1007/BF02091777
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DOI: https://doi.org/10.1007/BF02091777