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Comparison principle for the Cauchy problem for Hamilton–Jacobi equations with discontinuous data

✍ Scribed by Alain-Philippe Blanc


Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
217 KB
Volume
45
Category
Article
ISSN
0362-546X

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A discontinuous Galerkin finite element
✍ Yingda Cheng; Chi-Wang Shu 📂 Article 📅 2007 🏛 Elsevier Science 🌐 English ⚖ 627 KB

In this paper, we propose a new discontinuous Galerkin finite element method to solve the Hamilton-Jacobi equations. Unlike the discontinuous Galerkin method of [C. Hu, C.-W. Shu, A discontinuous Galerkin finite element method for Hamilton-Jacobi equations, SIAM Journal on Scientific Computing 21 (1