Convergence of discontinuous Galerkin schemes for front propagation with obstacles (Q2814434)

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scientific article; zbMATH DE number 6596183
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Convergence of discontinuous Galerkin schemes for front propagation with obstacles
scientific article; zbMATH DE number 6596183

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    Convergence of discontinuous Galerkin schemes for front propagation with obstacles (English)
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    22 June 2016
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    convergence
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    Hamilton-Jacobi-Bellman equations
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    discontinuous Galerkin methods
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    level sets
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    front propagation
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    obstacle problems
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    dynamic programming principle
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    numerical experiment
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    stability
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    The authors develop an interesting mathematical foundation of convergence of discontinuous Galerkin schemes for front propagation with obstacles. A complete discrete analysis is made with the presentation of a number of theorems and lemmas. A number of numerical experiments is performed for the convergence and stability of the proposed theory. It is an excellent piece of research for theoretical and experimental researcher in the area.
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