Rational Bases and Generalized Barycentrics Applications to Finite Elements and Graphics /

• Κύριος συγγραφέας: Wachspress, Eugene (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Cham : Springer International Publishing : Imprint: Springer, 2016.
• Έκδοση: 1st ed. 2016.
• Θέματα: Engineering.; Computer graphics.; Algebraic geometry.; Partial differential equations.; Applied mathematics.; Engineering mathematics.; Appl.Mathematics/Computational Methods of Engineering.; Algebraic Geometry.; Partial Differential Equations.; Computer Graphics.

This three-part volume explores theory for construction of rational interpolation functions for continuous patchwork approximation.  Authored by the namesake of the Wachspress Coordinates, the book develops construction of basis functions for a broad class of elements which have widespread graphics...

Πίνακας περιεχομένων:

• Part I
• Theorems and lemmas
• Chapter 1 Patchwork approximation in numerical analysis
• Chapter 2 The quadrilateral
• Chapter 3 Rational wedges for selected polycons
• Chapter 4. Algebraic geometry foundations
• Chapter 5 Rational wedge construction for polycons and polypols
• Chapter 6 Approximation of higher degree
• Chapter 7 Three-dimensional approximation
• Chapter 8 A rational solution to an irrational problem
• Chapter 9 Finite element discretization
• Chapter 10 Two-level computation
• Part II
• Chapter 11. Two dimensions
• Chapter 12. Higher dimensions
• Chapter 13. Forty years after
• Part III.- Chapter 14. Computer programs.