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L1-minimization methods for Hamilton–Jacobi equations: the one-dimensional case

✍ Scribed by Jean-Luc Guermond; Bojan Popov

Book ID
105878995
Publisher
Springer-Verlag
Year
2008
Tongue
English
Weight
316 KB
Volume
109
Category
Article
ISSN
0029-599X

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✍ Yanlai Chen; Bernardo Cockburn 📂 Article 📅 2007 🏛 Elsevier Science 🌐 English ⚖ 623 KB

We propose and study an adaptive version of the discontinuous Galerkin method for Hamilton-Jacobi equations. It works as follows. Given the tolerance and the degree of the polynomial of the approximate solution, the adaptive algorithm finds a mesh on which the approximate solution has an L 1 -distan