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A new Korn's type inequality for thin domains and its application to iterative methods - MaRDI portal

A new Korn's type inequality for thin domains and its application to iterative methods (Q1365608)

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scientific article; zbMATH DE number 1057451
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A new Korn's type inequality for thin domains and its application to iterative methods
scientific article; zbMATH DE number 1057451

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    A new Korn's type inequality for thin domains and its application to iterative methods (English)
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    25 February 1998
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    We present a new Korn's type inequality which estimates the ratio of the energy norm to the Sobolev norm in a given subspace in terms of the angle which it forms with an explicitly extracted finite-dimensional subspace. This inequality provides crucial information for improving the convergence of various iterative algorithms for elasticity problems in this domains. This is demonstrated in the case of the semi-discrete iterative algorithm EDRA.
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    energy norm
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    Sobolev norm
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    convergence
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    semi-discrete iterative algorithm EDRA
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