Finite elements and spectral methods for hyperbolic equations

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Abstract

In this chapter we will illustrate how to apply Galerkin methods, and in particular the finite element method and the spectral one, to the spatial and/or temporal discretization of scalar hyperbolic equations.We will treat both continuous as well as discontinuous finite elements.

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Quarteroni, A. (2017). Finite elements and spectral methods for hyperbolic equations. In Modeling, Simulation and Applications (Vol. 16, pp. 399–436). Springer-Verlag Italia s.r.l. https://doi.org/10.1007/978-3-319-49316-9_15

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