@Article{Xin:2005:IHB, author = "Jianguo Xin and Katia Pinchedez and Joseph E. Flaherty", title = "Implementation of Hierarchical Bases in {Femlab} for Simplicial Elements", journal = "{ACM} Transactions on Mathematical Software", volume = "31", number = "2", month = jun, year = "2005", pages = "187--200", URL = " http://doi.acm.org/10.1145/1067967.1067968", abstract = "We present the implementation of a well-conditioned hierarchical bases for one-dimensional, triangular and tetrahedral elements in finite element Femlab software. Using the domain mesh information provided by Femlab, we found an easy way to maintain the continuity of solutions across the inter-element boundaries. The conditionings of the global stiffness matrices of several standard problems are compared with Lagrange bases and are smaller for all cases.", }