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Advanced Methods for Geometric Modeling and Numerical Simulation

2019-09-18 Mathematics
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Release : 2019-09-18
Genre : Mathematics
Kind : eBook
Book Rating : 318/5 ( reviews)

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Book Synopsis Advanced Methods for Geometric Modeling and Numerical Simulation by : Carlotta Giannelli

Download or read book Advanced Methods for Geometric Modeling and Numerical Simulation written by Carlotta Giannelli. This book was released on 2019-09-18. Available in PDF, EPUB and Kindle. Book excerpt: This book gathers selected contributions presented at the INdAM Workshop “DREAMS”, held in Rome, Italy on January 22−26, 2018. Addressing cutting-edge research topics and advances in computer aided geometric design and isogeometric analysis, it covers distinguishing curve/surface constructions and spline models, with a special focus on emerging adaptive spline constructions, fundamental spline theory and related algorithms, as well as various aspects of isogeometric methods, e.g. efficient quadrature rules and spectral analysis for isogeometric B-spline discretizations. Applications in finite element and boundary element methods are also discussed. Given its scope, the book will be of interest to both researchers and graduate students working in these areas.

Meshing, Geometric Modeling and Numerical Simulation, Volume 2

2019-05-29 Mathematics
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Release : 2019-05-29
Genre : Mathematics
Kind : eBook
Book Rating : 172/5 ( reviews)

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Book Synopsis Meshing, Geometric Modeling and Numerical Simulation, Volume 2 by : Paul Louis George

Download or read book Meshing, Geometric Modeling and Numerical Simulation, Volume 2 written by Paul Louis George. This book was released on 2019-05-29. Available in PDF, EPUB and Kindle. Book excerpt: 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 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 vision of meshing. These mesh adaptations are generally governed by a posteriori error estimators representing an increase of the error with respect to a size or metric. Independently of this metric of calculation, compliance with a geometry can also be calculated using a so-called geometric metric. The notion of mesh thus finds its meaning in the metric of its elements.

Meshing, Geometric Modeling and Numerical Simulation 3

2020-12-22 Mathematics
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Release : 2020-12-22
Genre : Mathematics
Kind : eBook
Book Rating : 093/5 ( reviews)

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Book Synopsis Meshing, Geometric Modeling and Numerical Simulation 3 by : Paul Louis George

Download or read book Meshing, Geometric Modeling and Numerical Simulation 3 written by Paul Louis George. This book was released on 2020-12-22. Available in PDF, EPUB and Kindle. Book excerpt: 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 Volume 1, the theoretical foundations relating to triangulations, finite element shape functions and their interpretations as geometric patches were explored. This has made it possible to build tools that make the geometric modeling of any object possible. These elements are used in Volume 2 to treat meshing problems in their different implementations. Meshing, Geometric Modeling and Numerical Simulation 3 offers technical additions to the methods seen in the first two volumes and a significant portion of this book is dedicated to mesh visualization problems and solutions, especially those with a high degree of complexity.

Meshing, Geometric Modeling and Numerical Simulation 1

2017-11-01 Mathematics
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Release : 2017-11-01
Genre : Mathematics
Kind : eBook
Book Rating : 044/5 ( reviews)

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Book Synopsis Meshing, Geometric Modeling and Numerical Simulation 1 by : Houman Borouchaki

Download or read book Meshing, Geometric Modeling and Numerical Simulation 1 written by Houman Borouchaki. This book was released on 2017-11-01. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Geometric Modelling, Numerical Simulation, and Optimization:

2007-06-10 Mathematics
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Release : 2007-06-10
Genre : Mathematics
Kind : eBook
Book Rating : 831/5 ( reviews)

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Book Synopsis Geometric Modelling, Numerical Simulation, and Optimization: by : Geir Hasle

Download or read book Geometric Modelling, Numerical Simulation, and Optimization: written by Geir Hasle. This book was released on 2007-06-10. Available in PDF, EPUB and Kindle. Book excerpt: This edited volume addresses the importance of mathematics for industry and society by presenting highlights from contract research at the Department of Applied Mathematics at SINTEF, the largest independent research organization in Scandinavia. Examples range from computer-aided geometric design, via general purpose computing on graphics cards, to reservoir simulation for enhanced oil recovery. Contributions are written in a tutorial style.

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