Implementation of an adaptive finite-element approximation of the Mumford-Shah functional (Q1576607)
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scientific article; zbMATH DE number 1491747
| Language | Label | Description | Also known as |
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| English | Implementation of an adaptive finite-element approximation of the Mumford-Shah functional |
scientific article; zbMATH DE number 1491747 |
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Implementation of an adaptive finite-element approximation of the Mumford-Shah functional (English)
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15 August 2000
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The authors present a numerical method for solving the Mumford-Shah problem \[ \int_\Omega|\nabla u(x)|^2 dx+ H^1(K)+ \int_\Omega|u(x)- g(x)|^2 dx\to \min_{u,K}. \] The given method is based on a finite element method and on adaptive meshes. The convergence of the method is proved and a numerical test is given.
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numerical example
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Mumford-Shah problem
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finite element method
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convergence
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