An algorithm for the solution of inverse Laplace problems and its application in flaw identification in materials (Q1184602)

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scientific article; zbMATH DE number 34803
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An algorithm for the solution of inverse Laplace problems and its application in flaw identification in materials
scientific article; zbMATH DE number 34803

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    An algorithm for the solution of inverse Laplace problems and its application in flaw identification in materials (English)
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    28 June 1992
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    The authors develop an algorithm for an iterative process to solve the inverse Laplace problem in steady state heat conduction. Here, a functional is minimized in order to arrive at the unknown boundary by distorting a guessed boundary. Such problems occur in non-destructive testing where the shape of a flaw in the interior is determined by utilizing measurements on the boundary. The proposed method is illustrated by three practical example problems.
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    flaw identification in materials
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    iterative process
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    inverse Laplace problem
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    steady state heat conduction
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    non-destructive testing
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