Homogenization of the Eigenvalues of the Neumann–Poincaré Operator
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DOI: 10.1007/s00205-019-01402-8
Abstract: In this article, we investigate the spectrum of the Neumann–Poincaré operator $${{\mathcal {K}}}_\varepsilon ^*$$Kε∗ (or equivalently, that of the associated Poincaré variational operator $$T_\varepsilon $$Tε) associated to a periodic distribution of small inclusions with size… read more here.
Keywords: varepsilon; homogenization; neumann poincar; poincar operator ... See more keywords
Finite-Dimensional Approximations of the Steklov–Poincaré Operator for the Helmholtz Equation in Periodic Waveguides
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DOI: 10.1007/s10958-018-3890-1
Abstract: We consider the Dirichlet and Neumann problems for the Laplace operator in periodic waveguides. Integro-differential connections between the solution and its normal derivative, interpreted as a finite-dimensional version of the Steklov–Poincaré operator, are imposed on… read more here.
Keywords: steklov poincar; finite dimensional; poincar operator; periodic waveguides ... See more keywords