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Discontinuous Galerkin Method for Conservation Laws

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Numerical Solutions of Partial Differential Equations

Part of the book series: Advanced Courses in Mathematics - CRM Barcelona ((ACMBIRK))

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Abstract

The discontinuous Galerkin method was first designed as an effective numerical method for solving hyperbolic conservation laws, which may have discontinuous solutions. In this section we will discuss the algorithm formulation, stability analysis, and error estimates for the discontinuous Galerkin method solving hyperbolic conservation laws.

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© 2009 Birkhäuser Verlag

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(2009). Discontinuous Galerkin Method for Conservation Laws. In: Numerical Solutions of Partial Differential Equations. Advanced Courses in Mathematics - CRM Barcelona. Birkhäuser Basel. https://doi.org/10.1007/978-3-7643-8940-6_13

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