The convergence of the difference solution to the third boundary value problem of elasticity theory (Q1569350)

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scientific article; zbMATH DE number 1467879
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The convergence of the difference solution to the third boundary value problem of elasticity theory
scientific article; zbMATH DE number 1467879

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    The convergence of the difference solution to the third boundary value problem of elasticity theory (English)
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    3 July 2000
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    The author studies difference schemes that approximate the third boundary value problem of static elasticity theory (stiff contact problem) in a rectangle, and obtains estimates for the convergence rate which depend on the smoothness of the solution. For solutions belonging to Sobolev spaces, a complete scale of a priori estimates of convergence rate is obtained.
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    difference schemes
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    third boundary value problem
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    stiff contact problem
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    convergence rate
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    smoothness of solution
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    Sobolev spaces
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    a priori estimates
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