We have so far focused almost entirely on the formulation, analysis, and implementation of the discontinuous Galerkin schemes (DG-FEM) for onedimensional problems. In this chapter we consider in more detail the extension to multidimensional problems and the challenges introduced by this. We will quickly realize that what may have seemed unnecessarily complicated in the one-dimensional case now enables us to expand the formulation to multiple dimensions with only minor changes.
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(2008). Beyond one dimension. In: Nodal Discontinuous Galerkin Methods. Texts in Applied Mathematics, vol 54. Springer, New York, NY. https://doi.org/10.1007/978-0-387-72067-8_6
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DOI: https://doi.org/10.1007/978-0-387-72067-8_6
Publisher Name: Springer, New York, NY
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Online ISBN: 978-0-387-72067-8
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