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On goal-oriented error estimation for elliptic problems: Application to the control of pointwise errors - MaRDI portal

On goal-oriented error estimation for elliptic problems: Application to the control of pointwise errors (Q1818498)

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scientific article; zbMATH DE number 1383991
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English
On goal-oriented error estimation for elliptic problems: Application to the control of pointwise errors
scientific article; zbMATH DE number 1383991

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    On goal-oriented error estimation for elliptic problems: Application to the control of pointwise errors (English)
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    4 January 2000
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    The authors present a theory of goal-oriented error estimation. It involves the computation of an influence function for each quantity of interest. The influence function which is obtained as the solution of a dual problem indicates how the residual error influences the error in the particular measure. The performance of the method is shown on a one-dimensional problem.
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    elliptic problems
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    error bounds
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    error control
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    finite elements
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    performance
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