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Green's kernels for transmission problems in bodies with small inclusions

Mathematical Physics 2010-05-25 v1 math.MP

Abstract

The uniform asymptotic approximation of Green's kernel for the transmission problem of antiplane shear is obtained for domains with small inclusions. The remainder estimates are provided. Numerical simulations are presented to illustrate the effectiveness of the approach.

Keywords

Cite

@article{arxiv.1005.4362,
  title  = {Green's kernels for transmission problems in bodies with small inclusions},
  author = {Vladimir Maz'ya and Alexander Movchan and Michael Nieves},
  journal= {arXiv preprint arXiv:1005.4362},
  year   = {2010}
}

Comments

39 pages, 6 figures