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

• Κύριος συγγραφέας: Provatidis, Christopher G. (Συγγραφέας, http://id.loc.gov/vocabulary/relators/aut)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Cham : Springer International Publishing : Imprint: Springer, 2019.
• Έκδοση: 1st ed. 2019.
• Σειρά: Solid Mechanics and Its Applications, 256
• Θέματα: Mechanics.; Mechanics, Applied.; Partial differential equations.; Computer mathematics.; Mathematical physics.; Solid Mechanics.; Partial Differential Equations.; Computational Science and Engineering.; Mathematical Physics.

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...

Πίνακας περιεχομένων:

• 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.