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Probabilistically induced domain decomposition methods for elliptic boundary-value problems
2005
Journal of Computational Physics
Monte Carlo as well as quasi-Monte Carlo methods are used to generate only few interfacial values in two-dimensional domains where boundary-value elliptic problems are formulated. This allows for a domain decomposition of the domain. A continuous approximation of the solution is obtained interpolating on such interfaces, and then used as boundary data to split the original problem into fully decoupled subproblems. The numerical treatment can then be continued, implementing any deterministic
doi:10.1016/j.jcp.2005.04.014
fatcat:koq3ov6orjfohphkkhhp7sg4my