Algorithm 839: FIAT, a new paradigm for computing finite element basis functions

被引：107

作者：

Kirby, RC ^{[1
]}

机构：

[1] Univ Chicago, Dept Comp Sci, Chicago, IL 60637 USA

来源：

ACM TRANSACTIONS ON MATHEMATICAL SOFTWARE | 2004年 / 30卷 / 04期

关键词：

algorithms; languages; reliability; finite elements; high order methods; linear algebra; !text type='Python']Python[!/text;

D O I：

10.1145/1039813.1039820

中图分类号：

TP31 [计算机软件];

学科分类号：

081202 ; 0835 ;

摘要：

Much of finite element computation is constrained by the difficulty of evaluating high-order nodal basis functions. While most codes rely on explicit formulae for these basis functions, we present a new approach that allows us to construct a general class of finite element basis functions from orthonormal polynomials and evaluate and differentiate them at any points. This approach relies on fundamental ideas from linear algebra and is implemented in Python using several object-oriented and functional programming techniques.

引用

页码：502 / 516

页数：15

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