Precursors of Isogeometric Analysis Finite Elements, Boundary Elements, and Collocation Methods

This self-contained book addresses the three most popular computational methods in CAE (finite elements, boundary elements, collocation methods) in a unified way, bridging the gap between CAD and CAE. It includes applications to a broad spectrum of engineering (benchmark) application problems, such...

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Bibliographic Details
Main Author: Provatidis, Christopher G.
Format: eBook
Language:English
Published: Cham Springer International Publishing 2019, 2019
Edition:1st ed. 2019
Series:Solid Mechanics and Its Applications
Subjects:
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
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245 0 0 |a Precursors of Isogeometric Analysis  |h Elektronische Ressource  |b Finite Elements, Boundary Elements, and Collocation Methods  |c by Christopher G. Provatidis 
250 |a 1st ed. 2019 
260 |a Cham  |b Springer International Publishing  |c 2019, 2019 
300 |a XX, 587 p. 255 illus., 150 illus. in color  |b online resource 
505 0 |a 1 Initial Attempts on CAD/CAE Integration -- 2 Elements of Arroximation and Computational Geometry -- 3 Coons Interpolation as a Vehicle to Derive Isoparametric Elements -- 4 Gordon’s Transfinite Macroelements -- 5 Barnhill Interpolation and Relevant Isoparametric Elements -- 6 Bezier Interpolation and Relevant Isoparametric Elements -- 7: B-Splines Interpolation and Relevant Isoparametric Elements -- 8 Rational B-Spline (Nurbs-Based) Macroelements -- 9 Plate Bending Macroelements -- 10: Three-dimensional macroelements -- 11 Global Collocation Using Macroelements -- 12 Global Boundary Elements Using Macroelements -- 13 Mortality Issues -- 14 Global Review-Epilogue -- Appendix A: Green’s Theorem -- Appendix B: Numerical Integration -- Appendix C: Chebyshev Polynomials 
653 |a Mechanics, Applied 
653 |a Mathematics / Data processing 
653 |a Mathematical Physics 
653 |a Computational Science and Engineering 
653 |a Solids 
653 |a Solid Mechanics 
653 |a Mathematical physics 
653 |a Differential Equations 
653 |a Differential equations 
041 0 7 |a eng  |2 ISO 639-2 
989 |b Springer  |a Springer eBooks 2005- 
490 0 |a Solid Mechanics and Its Applications 
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520 |a This self-contained book addresses the three most popular computational methods in CAE (finite elements, boundary elements, collocation methods) in a unified way, bridging the gap between CAD and CAE. It includes applications to a broad spectrum of engineering (benchmark) application problems, such as elasto-statics/dynamics and potential problems (thermal, acoustics, electrostatics). It also provides a large number of test cases, with full documentation of original sources, making it a valuable resource for any student or researcher in FEA-related areas. The book, which assumes readers have a basic knowledge of FEA, can be used as additional reading for engineering courses as well as for other interdepartmental MSc courses