Algorithms by design with illustrations to solid and structural mechanics/dynamics

作     者：Zhou, X. Tamma, K. K. 

作者机构：Univ Minnesota Dept Mech Engn Minneapolis MN 55455 USA 

出 版 物：《INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING》 (国际工程数值法杂志)

年 卷 期：2006年第66卷第11期

页      面：1738-1790页

核心收录：

学科分类：08[工学] 0701[理学-数学] 

主　　题：time operators solid mechanics structural dynamics time integration algorithms first and second order systems computational algorithms 

摘      要：A novel procedure, concepts, and new ideas to tailor and design time operators under the notion of algorithms by design is formulated in this exposition with emphasis on applications to the broad area of computational mechanics, but with focus on solid and structural mechanics/dynamics as an illustration. The algorithms by design concepts capitalize upon: (i) the recently developed unified theory underlying computational algorithms (Int. J. Numer Meth. Engng 2004;59:597-668), and (ii) newly established design spaces and algorithmic measures for evaluating the quality of computational algorithms (Int. J. Numer. Meth. Engng 2005;64:1841-1870). As a step in the forward direction, in this exposition we embark upon some challenging tasks with the objective to advance, tailor, and foster the design of computational algorithms for time-dependent problems with desired and/or improved algorithmic attributes in the sense of accuracy, stability and other characteristics including algorithmic complexity in a well educated manner. The design process for computational algorithms is explained in the sense of the algorithms by design concepts via selected numerical illustrations of practical scenarios encountered in solid and structural mechanics/dynamics applications. Copyright (c) 2006 John Wiley & Sons, Ltd.