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

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. (Author, http://id.loc.gov/vocabulary/relators/aut)
Corporate Author: SpringerLink (Online service)
Format: Electronic eBook
Language:English
Published: Cham : Springer International Publishing : Imprint: Springer, 2019.
Edition:1st ed. 2019.
Series:Solid Mechanics and Its Applications, 256
Subjects:
Mechanics.
Mechanics, Applied.
Partial differential equations.
Computer mathematics.
Mathematical physics.
Solid Mechanics.
Partial Differential Equations.
Computational Science and Engineering.
Mathematical Physics.
Online Access:Full Text via HEAL-Link
Table of Contents:
  • 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.

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