Implementation of hierarchical bases in FEMLAB for simplicial elements

Authors:
Jianguo Xin;Katia Pinchedez;Joseph E. Flaherty
Affiliations:
Rensselaer Polytechnic Institute, Troy, NY;Rheinisch-Westfälische Technische Hochschule Aachen, Germany;Rensselaer Polytechnic Institute, Troy, NY
Venue:
ACM Transactions on Mathematical Software (TOMS)
Year:
2005

Citing 4
Cited 1

Matrix analysis

Matrix analysis
High-order adaptive methods for parabolic systems

Proceedings of the eleventh annual international conference of the Center for Nonlinear Studies on Experimental mathematics : computational issues in nonlinear science: computational issues in nonlinear science
Matrix computations (3rd ed.)

Matrix computations (3rd ed.)
Finite element solution of boundary value problems: theory and computation

Finite element solution of boundary value problems: theory and computation

Well-conditioned Orthonormal Hierarchical $\mathcal{L}_{2}$ Bases on Rn Simplicial Elements

Journal of Scientific Computing

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Abstract

We present the implementation of 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 solution across the interelement boundaries. The conditionings of the global stiffness matrices of several standard problems are compared with the Lagrange bases and are smaller for all cases.