Meshing, geometric modeling and numerical simulation. 1, Form functions, triangulations and geometric modeling

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Title:

Author:

Borouchaki, Houman, author.

ISBN:

9781119384038

9781119384335

9781786300386

9781119384045

Physical Description:

1 online resource : illustrations

Series:

Geometric modeling and applications set ; volume 1

Numerical methods in engineering series. Geometric modeling and applications set ; v. 1.

Contents:

<Div id="_mcePaste" style="position: absolute; left: -10000px; top: 0px; width: 1px; height: 1px; overflow: hidden;">Chapter 1. Introduction <div id="_mcePaste" style="position: absolute; left: -10000px; top: 0px; width: 1px; height: 1px; overflow: hidden;">Chapter 2. Finite elements and shape functions <div id="_mcePaste" style="position: absolute; left: -10000px; top: 0px; width: 1px; height: 1px; overflow: hidden;">Chapter 3. Lagrange and Bézier interpolation <div id="_mcePaste" style="position: absolute; left: -10000px; top: 0px; width: 1px; height: 1px; overflow: hidden;">Chapter 4. Geometrical elements and geometrical validity <div id="_mcePaste" style="position: absolute; left: -10000px; top: 0px; width: 1px; height: 1px; overflow: hidden;">Chapter 5. Triangulation <div id="_mcePaste" style="position: absolute; left: -10000px; top: 0px; width: 1px; height: 1px; overflow: hidden;">Chapter 6.

Delaunay Triangulation <div id="_mcePaste" style="position: absolute; left: -10000px; top: 0px; width: 1px; height: 1px; overflow: hidden;">Chapter 7. Triangulation and Constraints <div id="_mcePaste" style="position: absolute; left: -10000px; top: 0px; width: 1px; height: 1px; overflow: hidden;">Chapter 8. Geometrical modeling <div id="_mcePaste" style="position: absolute; left: -10000px; top: 0px; width: 1px; height: 1px; overflow: hidden;">Chapter 9. Metric, definitions and proprieties <div id="_mcePaste" style="position: absolute; left: -10000px; top: 0px; width: 1px; height: 1px; overflow: hidden;">Chapter 10. Errors and metric interpolation <div id="_mcePaste" style="position: absolute; left: -10000px; top: 0px; width: 1px; height: 1px; overflow: hidden;">Chapter 11. Conclusions and perspectives 1. Finite Elements and Shape Functions. 2. Lagrange and Bézier Interpolants. 3.

Abstract:

Triangulations, and more precisely meshes, are at the heart of many problems relating to a wide variety of scientific disciplines, and in particular numerical simulations of all kinds of physical phenomena. In numerical simulations, the functional spaces of approximation used to search for solutions are defined from meshes, and in this sense these meshes play a fundamental role. This strong link between the meshes and functional spaces leads us to consider advanced simulation methods in which the meshes are adapted to the behaviors of the underlying physical phenomena. This book presents the basic elements of this meshing vision.

Local Note:

John Wiley and Sons

Subject Term:

Geometry -- Data processing.

Numerical grid generation (Numerical analysis)

Mathematical models.

Finite element method.

Triangulation.

Models, Theoretical

Géométrie -- Informatique.

Grilles (Analyse numérique)

Modèles mathématiques.