An optimal \(L_1\)-minimization algorithm for stationary Hamilton-Jacobi equations (Q1025728)
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scientific article; zbMATH DE number 5568582
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | An optimal \(L_1\)-minimization algorithm for stationary Hamilton-Jacobi equations |
scientific article; zbMATH DE number 5568582 |
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An optimal \(L_1\)-minimization algorithm for stationary Hamilton-Jacobi equations (English)
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23 June 2009
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The authors construct a sequence of approximate solutions to some one-dimensional stationary Hamilton-Jacobi equations by using continuous finite elements and by minimizing the residual in the Lebesgue space with \(p=1\). For a class of convex Hamiltonians, they prove the convergence of the proposed algorithm. Some numerical examples are carried out.
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finite element method
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best approximation
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viscosity solutions
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eikonal equation
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Hamilton-Jacobi equations
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algorithm
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numerical examples
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