An optimization approach to solving a discrete inverse problem for a one-dimensional hyperbolic equation (Q2773647)
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scientific article; zbMATH DE number 1710270
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | An optimization approach to solving a discrete inverse problem for a one-dimensional hyperbolic equation |
scientific article; zbMATH DE number 1710270 |
Statements
24 February 2002
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inverse problem
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convergence
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misfit functional
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iterative method
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hyperbolic equation
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goal functional
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steepest descent method
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An optimization approach to solving a discrete inverse problem for a one-dimensional hyperbolic equation (English)
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The author studies an optimization approach to solving a discrete problem of determining the coefficient of a one-dimensional hyperbolic equation in integral formulation. The properties of the solutions to the inverse and direct discrete problems are studied. Estimates are obtained both for the goal functional and its gradient. Convergence is proven for the steepest descent method for minimization of the misfit functional.
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0.8885695934295654
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