FE-BE coupling for a transmission problem involving microstructure. (arXiv:1002.4385v1 [math.NA])

FE-BE coupling for a transmission problem involving microstructure. (arXiv:1002.4385v1 [math.NA]): "

We analyze a finite element/boundary element procedure to solve a non-convex
contact problem for the double-well potential. After relaxing the associated
functional, the degenerate minimization problem is reduced to a boundary/domain
variational inequality, a discretized saddle point formulation of which may
then be solved numerically. The convergence of the Galerkin approximations to
certain macroscopic quantities and a corresponding a posteriori estimate for
the approximation error are discussed.

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