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Rational bases and generalized barycentrics = applications to finite elements and graphics /

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Rational bases and generalized barycentrics/ by Eugene Wachspress.
Reminder of title:	applications to finite elements and graphics /
Author:	Wachspress, Eugene.
Published:	Cham :Springer International Publishing : : 2016.,
Description:	xxi, 292 p. :ill., digital ; : 24 cm.;
Contained By:	Springer eBooks
Subject:	Finite element method. -
Online resource:	http://dx.doi.org/10.1007/978-3-319-21614-0
ISBN:	9783319216140

Rational bases and generalized barycentrics = applications to finite elements and graphics /
Wachspress, Eugene.

Rational bases and generalized barycentricsapplications to finite elements and graphics /[electronic resource] :by Eugene Wachspress. - Cham :Springer International Publishing :2016. - xxi, 292 p. :ill., digital ;24 cm.

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.

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 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.

ISBN: 9783319216140

Standard No.: 10.1007/978-3-319-21614-0doiSubjects--Topical Terms:

528332
Finite element method.

LC Class. No.: TA347.F5

Dewey Class. No.: 518.25

Rational bases and generalized barycentrics = applications to finite elements and graphics /
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505 0 $a 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.
520 $a 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 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.
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