TY  - BOOK
AU  - Wachspress,Eugene
ED  - SpringerLink (Online service)
TI  - Rational Bases and Generalized Barycentrics: Applications to Finite Elements and Graphics 
SN  - 9783319216140
AV  - TA329-348 
U1  - 519 23
PY  - 2016///
CY  - Cham
PB  - Springer International Publishing, Imprint: Springer
KW  - Engineering
KW  - Computer graphics
KW  - Algebraic geometry
KW  - Partial differential equations
KW  - Applied mathematics
KW  - Engineering mathematics
KW  - Appl.Mathematics/Computational Methods of Engineering
KW  - Algebraic Geometry
KW  - Partial Differential Equations
KW  - Computer Graphics
N1  - 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 -- Chapter5 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
N2  - This three-part volume explores theory for construction of rational interpolation functions for continuous patchwork approximation. Authored bythe namesake of the Wachspress Coordinates, the bookdevelops construction of basis functions for a broad class of elements which have widespread graphics and finite element application. Part one is the 1975 book A Rational Finite Element Basis (with minor updates and corrections) written by Dr. Wachspress. Part two describes theoretical advances since 1975 and includes analysis of elements not considered previously. Part three consists of annotated MATLAB programs implementing theory presented in parts one and two
UR  - http://148.231.10.114:2048/login?url=http://dx.doi.org/10.1007/978-3-319-21614-0
ER  -