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

By Christopher G. Provatidis

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.

• Format: Hardcover
• Language: English
• ISBN: 3030038882
• ISBN13: 9783030038885
• Release Date: January 2019
• Publisher: Springer
• Length: 587 Pages
• Weight: 2.25 lbs.
• Dimensions: 1.3" x 6.1" x 9.2"