U.S.-Venezuela Collaborative Research: Finite Element Software Development Using Computer Algebra Systems

0106665Griffiths这是科罗拉多矿业学院的G. Vaughn Griffiths博士和委内瑞拉中央大学的Miguel Cerrolaza博士的合作项目。该建议的重点是通过利用计算机代数系统（CAS）的功能来生成和简化冗长而复杂的代数表达式，从而提高工程分析软件（特别是有限元法）的准确性和效率。这些将直接输出到高级计算机语言中，以产生一个公共领域的例程库，这将使工程实践者和软件开发人员受益。合作者的利益相互补充，重叠最小。美国小组的重点在于经典弹性的软件开发，而委内瑞拉小组对生物发动机应用特别感兴趣，两个小组都打算用封闭形式表达式取代传统的有限元矩阵数值积分。这项工作的结果将是一个公共领域的子程序套件，它将对所有FE软件的开发人员和用户可用。

0106665GriffithsThis is a collaborative project between Dr. G. Vaughn Griffiths, Colorado School of Mines, and Dr. Miguel Cerrolaza, Central University of Venezuela.The proposal is focussed on improving the accuracy and efficiency of engineering analysis software, specifically the finite element method, by exploiting the power of Computer Algebra Systems (CAS) to generate and simplify lengthy and complex algebraic expressions. These will be output directly into a high level computer language, to produce a public domain library of routines that will benefit engineering practitioners and software developers. The interests of the collaborators complement each other with minimal overlap. The priority of the US group resides in software development for classical elasticity, while the Venezuelan group has a particular interest in bio-engine applications, with both groups intending to replace traditional numerical integration of finite element matrices by closed form expressions. The outcome of this work will be a public-domain suite of subprograms that will be available to all developers and users of FE software.