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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Vydané v:	International journal for numerical methods in engineering Ročník 66; číslo 11; s. 1738 - 1790
Hlavní autori:	Zhou, X., Tamma, K. K.
Médium:	Journal Article
Jazyk:	English
Vydavateľské údaje:	Chichester, UK John Wiley & Sons, Ltd 11.06.2006 Wiley
Predmet:	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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Abstract	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.
AbstractList	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. 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. 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.
Author	Tamma, K. K. Zhou, X.
Author_xml	– sequence: 1 givenname: X. surname: Zhou fullname: Zhou, X. email: xiangmin@msi.umn.edu organization: Department of Mechanical Engineering, University of Minnesota 111 Church St. S.E., Minneapolis, MN, 55455, U.S.A – sequence: 2 givenname: K. K. surname: Tamma fullname: Tamma, K. K. email: ktamma@tc.umn.edu organization: Department of Mechanical Engineering, University of Minnesota 111 Church St. S.E., Minneapolis, MN, 55455, U.S.A
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Snippet	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... 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...
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SubjectTerms	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...)
Title	Algorithms by design with illustrations to solid and structural mechanics/dynamics
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