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Algorithms by design with illustrations to solid and structural mechanics/dynamics
Author(s) -
Zhou X.,
Tamma K. K.
Publication year - 2006
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1559
Subject(s) - exposition (narrative) , computational mechanics , computer science , structural mechanics , focus (optics) , algorithm , computational complexity theory , stability (learning theory) , theoretical computer science , engineering , finite element method , machine learning , art , literature , optics , physics , structural engineering
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 © 2006 John Wiley & Sons, Ltd.