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

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 illustr...

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Vydáno v:International journal for numerical methods in engineering Ročník 66; číslo 11; s. 1738 - 1790
Hlavní autoři: Zhou, X., Tamma, K. K.
Médium: Journal Article
Jazyk:angličtina
Vydáno: Chichester, UK John Wiley & Sons, Ltd 11.06.2006
Wiley
Témata:
Algorithms
Applied sciences
Computation
computational algorithms
Computational techniques
Dynamics
Education
Exact sciences and technology
Exposure
first and second order systems
Fundamental areas of phenomenology (including applications)
Illustrations
INT
Mathematical methods in physics
Mechanical engineering. Machine design
Physics
Solid mechanics
Structural and continuum mechanics
structural dynamics
Tasks
time integration algorithms
time operators
Vibration, mechanical wave, dynamic stability (aeroelasticity, vibration control...)
Measurement
time integration algorithms
Numerical integration
Vibration
first and second order systems
Algorithmics
computational algorithms
Modeling
Engineering design
Design process
solid mechanics
Time domain method
structural dynamics
time operators
Structural analysis
ISSN:0029-5981, 1097-0207
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Shrnutí: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.
Bibliografie:ark:/67375/WNG-KMQ3MG1Q-7
Minnesota Supercomputer Institute (MSI)
Army High Performance Computing Research Center (AHPCRC) - No. DAAD19-01-2-0014
Battelle/U.S. Army Research Office (ARO) - No. DAAH04-96-C-0086
ArticleID:NME1559
istex:95468FBD3D4F792E8D5FCFAE1CE6AD2DA8C64EFD
Research Associate, Army High Performance Computing Research Center (AHPCRC).
Professor/Technical Director, Army High Performance Computing Research Center (AHPCRC).
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SourceType-Scholarly Journals-1
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ISSN:0029-5981
1097-0207
DOI:10.1002/nme.1559