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Numerical schemes for the Hamilton-Jacobi and level set equations on triangulated domains - MaRDI portal

Numerical schemes for the Hamilton-Jacobi and level set equations on triangulated domains (Q1268301)

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scientific article; zbMATH DE number 1212267
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English
Numerical schemes for the Hamilton-Jacobi and level set equations on triangulated domains
scientific article; zbMATH DE number 1212267

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    Numerical schemes for the Hamilton-Jacobi and level set equations on triangulated domains (English)
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    26 April 1999
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    Discretizations of Hamilton-Jacobi and level set equations on triangular grids are discussed. Starting from monotone schemes violating a Lipschitz condition for the Hamiltonian classes of numerical approximations are derived. Several numerical examples document the features of the presented methods. \(\copyright\) Academic Press.
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    upwind discretization
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    Petrov-Galerkin methods
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    Hamilton-Jacobi equations
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    level set methods
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    level set equations
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    numerical examples
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