Rational Bases and Generalized Barycentrics
Applications to Finite Elements and Graphics
Seiten
2015
|
1st ed. 2016
Springer International Publishing (Verlag)
978-3-319-21613-3 (ISBN)
Springer International Publishing (Verlag)
978-3-319-21613-3 (ISBN)
lt;p>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.
Theoretical advances since 1975.- MATLAB programs and illustrative examples.- Concave elements and mean value coordinates.
Erscheint lt. Verlag | 29.10.2015 |
---|---|
Zusatzinfo | XXI, 292 p. |
Verlagsort | Cham |
Sprache | englisch |
Maße | 155 x 235 mm |
Themenwelt | Mathematik / Informatik ► Mathematik ► Angewandte Mathematik |
Technik | |
Schlagworte | Applied Algebraic Geometry • Barycentric coordinates • finite elements • Mean Value Coordinates • Partial differential equations • Polytope basis Functions • Rational Basis Functions • Wachspress Coordinates |
ISBN-10 | 3-319-21613-9 / 3319216139 |
ISBN-13 | 978-3-319-21613-3 / 9783319216133 |
Zustand | Neuware |
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