ABSTRACT
The material presented in the two volumes of this monograph summarizes almost two decades of our research on hp methods. We have developed what we believe to be a unique three-dimensional finite element technology. Our major accomplishments include:
On the theory side: the concept of compatible H1-, H(curl)-, and H(div)- conforming hp discretizations based on the exact polynomial sequences for elements of variable order, and the projection-based (PB) interpolation theory. Many of the underlying theoretical results are very technical and have only been mentioned in this monograph.
