Rational Bases and Generalized Barycentrics: Applications to Finite Elements and Graphics
Author:   Eugene Wachspress
Publisher:   Springer International Publishing AG
Edition:   1st ed. 2016
ISBN:  

9783319216133


Pages:   292
Publication Date:   29 October 2015
Format:   Hardback
Availability:   Manufactured on demand   Availability explained
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Rational Bases and Generalized Barycentrics: Applications to Finite Elements and Graphics


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Overview

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.

Full Product Details

Author:   Eugene Wachspress
Publisher:   Springer International Publishing AG
Imprint:   Springer International Publishing AG
Edition:   1st ed. 2016
Dimensions:   Width: 15.50cm , Height: 2.30cm , Length: 23.50cm
Weight:   6.547kg
ISBN:  

9783319216133


ISBN 10:   3319216139
Pages:   292
Publication Date:   29 October 2015
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.

Table of Contents

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.

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