Borouchaki, Houman,
Meshing, geometric modeling and numerical simulation. 1, Form functions, triangulations and geometric modeling / Houman Borouchaki, Paul Louis George. - 1 online resource : illustrations. - Geometric modeling and applications set ; volume 1 . - Numerical methods in engineering series. Geometric modeling and applications set ; v. 1. .
Includes bibliographical references and index.
Meshing, geometric modeling and numerical simulation. 1, Form functions, triangulations and geometric modeling / Houman Borouchaki, Paul Louis George. - 1 online resource : illustrations. - Geometric modeling and applications set ; volume 1 . - Numerical methods in engineering series. Geometric modeling and applications set ; v. 1. .
Includes bibliographical references and index.
Chapter 1. Introduction
Chapter 2. Finite elements and shape functions
Chapter 3. Lagrange and Bézier interpolation
Chapter 4. Geometrical elements and geometrical validity
Chapter 5. Triangulation
Chapter 6. Delaunay Triangulation
Chapter 7. Triangulation and Constraints
Chapter 8. Geometrical modeling
Chapter 9. Metric, definitions and proprieties
Chapter 10. Errors and metric interpolation
Chapter 11. Conclusions and perspectives 1. Finite Elements and Shape Functions. 2. Lagrange and Bézier Interpolants. 3.
Owing to Legal Deposit regulations this resource may only be accessed from within National Library of Scotland on library computers. For more information contact enquiries@nls.uk.
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.
9781119384038 1119384036 9781119384335 1119384338 1786300389 9781786300386 9781119384045 1119384044
9781786300386
00028608
Geometry--Data processing.
Numerical grid generation (Numerical analysis)
Mathematical models.
Finite element method.
Triangulation.
MATHEMATICS--Geometry--General.
Finite element method.
Geometry--Data processing.
Mathematical models.
Numerical grid generation (Numerical analysis)
Triangulation.
Electronic books.
QA448.D38
516/.00285
Owing to Legal Deposit regulations this resource may only be accessed from within National Library of Scotland on library computers. For more information contact enquiries@nls.uk.
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.
9781119384038 1119384036 9781119384335 1119384338 1786300389 9781786300386 9781119384045 1119384044
9781786300386
00028608
Geometry--Data processing.
Numerical grid generation (Numerical analysis)
Mathematical models.
Finite element method.
Triangulation.
MATHEMATICS--Geometry--General.
Finite element method.
Geometry--Data processing.
Mathematical models.
Numerical grid generation (Numerical analysis)
Triangulation.
Electronic books.
QA448.D38
516/.00285