Article de journal

An optimization-based, heterogeneous to homogeneous coupling method

An optimization-based algorithm is proposed for solving elliptic problems with highly oscillatory coefficients that do not exhibit scale separation in a subregion of the physical domain. The given method, written as a constrained minimization problem, couples a numerical homogenization method in the subregion of the physical domain with scale separation with a fine scale solver in subregions without scale separation. The unknown boundary conditions of both problems in the overlap region are determined by minimizing the discrepancy of the corresponding solutions in this overlap.


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