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2D Continuous Galerkin Methods for Hyperbolic Equations

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An Introduction to Element-Based Galerkin Methods on Tensor-Product Bases

Part of the book series: Texts in Computational Science and Engineering ((TCSE,volume 24))

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Abstract

In Chs. 5 and 8 we discussed the implementation of continuous Galerkin (CG) methods in one dimension for hyperbolic and elliptic equations, respectively. In Ch. 12 we introduced the extension of the CG method to two dimensions by describing its implementation for elliptic partial differential equations (PDEs). In this chapter we extend the CG method for the application of hyperbolic equations in two dimensions. We also discuss the addition of diffusion operators.

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Giraldo, F.X. (2020). 2D Continuous Galerkin Methods for Hyperbolic Equations. In: An Introduction to Element-Based Galerkin Methods on Tensor-Product Bases. Texts in Computational Science and Engineering, vol 24. Springer, Cham. https://doi.org/10.1007/978-3-030-55069-1_15

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