A fast iterative method for solving regularized parameter identification problems in elliptic boundary value problems (Q1262096)
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scientific article; zbMATH DE number 4123209
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A fast iterative method for solving regularized parameter identification problems in elliptic boundary value problems |
scientific article; zbMATH DE number 4123209 |
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A fast iterative method for solving regularized parameter identification problems in elliptic boundary value problems (English)
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1989
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The author considers the regularization method applied to the numerical identification of the diffusion coefficient a(x) within a linear two- point boundary value problem of 2nd order. For solving the corresponding regularized discrete nonlinear minimization problems the Gauss-Newton method is analyzed. The author describes an effective way for performing one iteration step which requires to solve only two tridiagonal systems of equations.
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fast iterative method
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parameter identification
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inverse problem
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regularization method
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discrete nonlinear minimization
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Gauss-Newton method
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