ABSTRACT
Chapter 3
Higher-order nite element
discretization
With a database of scalar and vector-valued hierarchic master elements of
variable order on all reference domains in hand, we can proceed to the dis-
cussion of the higher-order nite element technology in two and three spatial
dimensions. The reader should be prepared that although the methodology
stays basically the same as in 1D, many of its particular aspects become more
technical. Therefore we encourage her/him to be truly familiar with the one-
dimensional model example from Section 1.3 before reading this chapter.
