Into the third dimension
In Chapter 6 we demonstrated the extension of the discontinuous Galerkin (DG) methods to problems in two spatial dimensions. This involved the introduction of nodal sets for the triangle and an orthonormal polynomial basis that we used as a reference basis for interpolation, differentiation, and the computation of inner products. In this chapter we will go further and consider the additional details required to extend this approach to three-dimensional domains.
KeywordsDiscontinuous Galerkin Discontinuous Galerkin Method Polynomial Basis Lebesgue Constant Vandermonde Matrix
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