ABSTRACT
Until now, we have studied how to mesh piecewise linear domains. For the remainder of the book we focus on curved domains, namely, smooth surfaces, piecewise smooth surfaces, and the volumes they bound. We mesh curved domains with linear simplices, so exact domain conformity is impossible: the underlying space of the output mesh cannot be that of the input complex. This begs for an explanation of what we mean by a triangulation of a curved domain, and how well a linear triangulation can approximate a curved domain.
