\(\mathcal H\)-matrix approximation for elliptic solution operators in cylinder domains (Q2752292)

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scientific article; zbMATH DE number 1660779
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\(\mathcal H\)-matrix approximation for elliptic solution operators in cylinder domains
scientific article; zbMATH DE number 1660779

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    16 October 2001
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    \({\mathcal H}\)-matrix approximation
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    elliptic solution operators
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    hyperbolic operator sine family
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    data-sparse factorized representation
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    Poincaré-Steklov operators
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    \(\mathcal H\)-matrix approximation for elliptic solution operators in cylinder domains (English)
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    A data-sparse and accurate approximation of the normalized hyperbolic operator sine family, generated by a strongly positive elliptic operator, is developed. As an application, the data-sparse factorized representation of the Poincaré-Steklov operators associated with elliptic problems in tube domains is considered.
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