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Rational bases and generalized barycentrics : applications to finite elements and graphics
Wachspress, Eugene L.
- ISBN:3319216147
- ISBN:9783319216140
- ISBN:3319216139
- ISBN:9783319216133
- Call Number : TA 347 .F5 .W33 2016
- Main Entry: Wachspress, Eugene L.
- Title:Rational bases and generalized barycentrics : applications to finite elements and graphics [electronic resource] / Eugene Wachspress.
- Publisher:Cham : Springer, 2016.
- Physical Description:xxi, 302 p.: ill
- Notes:Includes bibliographical references and index
- Subject:Finite element method.
- Subject:Numerical analysis.
Rational bases and generalized barycentricsمحتواي کتاب
- Preface: Part I
- Preface: Parts II and III
- Acknowledgements
- Contents
- Theorems and Lemmas
- Part I A Rational Finite Element Basis
- 1 Patchwork Approximation in Numerical Analysis
- 2 The Quadrilateral
- 3 Rational Wedges for Selected Polycons
- 4 Algebraic Geometry Foundations
- 5 Rational Wedge Construction for Polycons and Polypols
- 6 Approximation of Higher Degree
- 7 Three-Dimensional Approximation
- 8 A Rational Solution to an Irrational Problem
- 9 Finite Element Discretization
- 10 Two-Level Computation
- Part II Advances in Theory
- Part III Computer Programs
- Relevant Work
- References
- Index