Numerical approximation of the maximal solutions for a class of degenerate Hamilton-Jacobi equations (Q2706376)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Numerical approximation of the maximal solutions for a class of degenerate Hamilton-Jacobi equations |
scientific article |
Statements
19 March 2001
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singular Hamilton-Jacobi equations
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maximal solution
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regularization
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numerical approximation
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degenerate Hamilton-Jacobi equations
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error bound
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viscosity solution
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eikonal equation
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shape-from-shading problem
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0.92424476
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0.9233437
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0.9040322
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0.90110874
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0.8923788
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0.8905741
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Numerical approximation of the maximal solutions for a class of degenerate Hamilton-Jacobi equations (English)
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The authors propose an approximation scheme for a class of Hamilton-Jacobi problems for which uniqueness of the viscosity solution does not hold. This class includes the eikonal equation arising in the shape-from-shading problem. The scheme is based on a two step discretization of the control problem associated with the regularized problem. A numerical estimate of the discretization error is also given.
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