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    Chapter

    High-Frequency Vibrations of Systems with Concentrated Masses Along Planes

    Let Ω be an open bounded domain of ℝ3 with a smooth boundary \(\partial\Omega\) . Weassume that Ω is divided into two parts Ω+ and Ω- by the plane ...

    D. Gömez, M. Lobo, M. E. Pérez in Integral Methods in Science and Engineering, Volume 1 (2010)

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    Chapter

    On Different Quasimodes for the Homogenization of Steklov-Type Eigenvalue Problems

    Roughly speaking, a quasimode for an operator with a discrete spectrum on a Hilbert space can be defined as a pair ( \(\tilde{w}, \mu\) ), where ...

    M. Lobo, M. E. Pérez in Integral Methods in Science and Engineering, Volume 1 (2010)

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    Article

    The Bloch Approximation in Periodically Perforated Media

    We consider a periodically heterogeneous and perforated medium filling an open domain Ω of ℝN. Assuming that the size of the periodicity of the structure and of the holes is O(ε), we study the asymptotic behavio...

    C. Conca, D. Gómez, M. Lobo, E. Pérez in Applied Mathematics and Optimization (2005)