Implementation of hierarchical bases in FEMLAB for simplicial elements-Reference-Cited by-同舟云学术

Implementation of hierarchical bases in FEMLAB for simplicial elements

Published:2005-06 Issue:2 Volume:31 Page:187-200
ISSN:0098-3500
Container-title:ACM Transactions on Mathematical Software
language:en
Short-container-title:ACM Trans. Math. Softw.

Author:

Xin Jianguo¹,Pinchedez Katia²,Flaherty Joseph E.¹

Affiliation:

1. Rensselaer Polytechnic Institute, Troy, NY

2. Rheinisch-Westfälische Technische Hochschule Aachen, Germany

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.

Publisher

Association for Computing Machinery (ACM)

Subject

Applied Mathematics,Software

Link

https://dl.acm.org/doi/pdf/10.1145/1067967.1067968

Reference16 articles.

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