Beyond one dimension
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.
KeywordsRiemann Problem Perfectly Match Layer Total Variation Diminish Vandermonde Matrix Primitive Variable
Unable to display preview. Download preview PDF.