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LEADER 00000cam a2200565Ii 4500 
003    OCoLC 
005    20190320055955.6 
006    m     o  d         
007    cr cnu---unuuu 
008    190104s2019    sz      ob    001 0 eng d 
015    GBB935124|2bnb 
019    SpringerEBAon1080645196 
020    9783030038892|qelectronic book 
020    3030038890|qelectronic book 
020    |z9783030038885 
020    |z3030038882 
037    com.springer.onix.9783030038892|bSpringer Nature 
040    YDX|beng|erda|cYDX|dGW5XE|dOCLCF|dEBLCP|dUAB|dYDXIT|dUKMGB
049    MAIN 
050  4 TA347.F5|bP76 2019 
082 04 518/.25|223 
100 1  Provatidis, Christopher G.,|eauthor. 
245 10 Precursors of isogeometric analysis :|bfinite elements, 
       boundary elements, and collocation methods /|cChristopher 
       G. Provatidis. 
264  1 Cham, Switzerland :|bSpringer,|c[2019] 
300    1 online resource 
336    text|btxt|2rdacontent 
337    computer|bc|2rdamedia 
338    online resource|bcr|2rdacarrier 
490 1  Solid mechanics and its applications ;|vvolume 256 
504    Includes bibliographical references and index. 
505 0  Intro; Preface; Contents; Abbreviations; 1 Initial 
       Attempts on CAD/CAE Integration; 1.1 The Conventional 
       Meaning of Integrated CAD/CAE Systems; 1.2 The Meaning of 
       CAD/CAE Integration Adopted in This Book; 1.3 CAD 
       Interpolation; 1.4 CAE Methods; 1.4.1 Finite Element 
       Method (FEM); 1.4.2 Boundary Element Method (BEM); 1.4.3 
       Collocation Method; 1.5 Modules of CAD/CAE Integration; 
       1.5.1 Mesh Generation; 1.5.2 Transfinite Elements; 1.5.3 
       Later Attempts; 1.6 Recapitulation and Some Historical 
       Remarks; References; 2 Elements of Approximation and 
       Computational Geometry 
505 8  2.1 Description of Curve's Geometry as Well as of a 
       Physical Quantity Along It2.2 Definitions; 2.3 
       Approximation Using Univariate Functions; 2.3.1 Taylor 
       Power Series; 2.3.2 One-Dimensional Linear Interpolation; 
       2.3.3 One-Dimensional (1D) Piecewise Linear Interpolation;
       2.3.4 One-Dimensional (1D) Lagrange and Power Series 
       Interpolation; 2.3.5 One-Dimensional (1D) Hermite 
       Interpolation; 2.3.6 One-Dimensional (1D) Nonrational 
       Bézier Interpolation; 2.3.7 One-Dimensional (1D) 
       Interpolation Using B-Splines; 2.4 Coons Interpolation 
       Formula in Two Dimensions; 2.5 Gordon Interpolation 
       Formula 
505 8  2.6 Bézier Interpolation Formulas2.6.1 Nonrational Bézier 
       Patch (Surface); 2.6.2 Rational Bézier Curve and Patch; 
       2.7 Interpolation Formula Using NURBS; 2.7.1 NURBS Curve; 
       2.7.2 NURBS Patch; 2.8 Barnhill's Interpolation Formula in
       a Parametric Triangular Domain; 2.8.1 Area Coordinates; 
       2.8.2 Derivation of Barnhill's Formula; 2.9 
       Recapitulation; References; 3 COONS' Interpolation as a 
       Vehicle to Derive Large Isoparametric Elements; 3.1 
       General; 3.2 Small-Size Classical Finite Elements; 3.2.1 
       Four-Noded Element; 3.2.2 Eight-Noded Element 
505 8  3.3 Global Shape Functions of Arbitrary Noded Coons 
       Macroelement ("C-Element")3.3.1 General Formulation; 3.4 A
       Deeper Examination of Coons Interpolation and Relevant 
       Coons Macroelements; 3.5 Trial Functions; 3.5.1 Piecewise 
       Linear Trial Functions; 3.5.2 Lagrange Polynomials; 3.5.3 
       Natural Cubic B-Splines as Trial Functions; 3.6 
       Degeneration of Quadrilateral into a Triangular Patch; 3.7
       Test Cases; 3.7.1 Potential Problems; 3.7.2 Application to
       Plane Elastostatics and Eigenanalysis; 3.7.3 Application 
       to Plane Stress Transient Elastodynamics 
505 8  3.7.4 Application to Problems of Axisymmetric 
       Elasticity3.8 COONS Macroelement as a NURBS; 3.9 
       Recapitulation; References; 4 GORDON's Transfinite 
       Macroelements; 4.1 General Formulation; 4.2 General 
       Formulation; 4.3 A Structured Mesh of Bilinear Elements as
       a Special Case of Gordon Macroelement; 4.4 Lagrangian-Type
       Elements as a Special Case of Gordon Macroelement; 4.5 
       State-of-the-Art; 4.6 Test Problems; 4.7 Degenerated 
       Triangular Transfinite Elements; 4.7.1 General; 4.7.2 
       Degenerated Quadrilateral with Four Nodes; 4.7.3 
       Degenerated Quadrilateral with Seven Nodes 
650  0 Isogeometric analysis. 
650  0 Finite element method. 
655  0 Electronic books. 
655  4 Electronic books. 
710 2  SpringerLink|eissuing body. 
776 08 |cOriginal|z3030038882|z9783030038885|w(OCoLC)1056745219 
830  0 Solid mechanics and its applications ;|vv. 256. 
830  0 Springer Engineering eBooks 2019 English+International 
856 40 |uhttps://ezp.lib.unimelb.edu.au/login?url=http://
       link.springer.com/10.1007/978-3-030-03889-2|zConnect to 
       ebook (University of Melbourne only) 
990    Springer EBA e-book collections for 2017-2019 
990    Springer Engineering 2019 
990    Batch Ebook load (bud2) - do not edit, delete or attach 
       any records. 
991    |zNEW New collection springerlink.ebooksengine2019 2019-03
       -19 
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