Geometric Modelling Numerical Simulation And Optimization
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Author |
: Geir Hasle |
Publisher |
: Springer Science & Business Media |
Total Pages |
: 559 |
Release |
: 2007-06-10 |
ISBN-10 |
: 9783540687832 |
ISBN-13 |
: 3540687831 |
Rating |
: 4/5 (32 Downloads) |
Synopsis Geometric Modelling, Numerical Simulation, and Optimization: by : Geir Hasle
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.
Author |
: Geir Hasle |
Publisher |
: Springer |
Total Pages |
: 558 |
Release |
: 2009-09-02 |
ISBN-10 |
: 3540834184 |
ISBN-13 |
: 9783540834182 |
Rating |
: 4/5 (84 Downloads) |
Synopsis Geometric Modelling, Numerical Simulation, and Optimization: by : Geir Hasle
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.
Author |
: Paul Louis George |
Publisher |
: John Wiley & Sons |
Total Pages |
: 420 |
Release |
: 2019-05-29 |
ISBN-10 |
: 9781786301178 |
ISBN-13 |
: 1786301172 |
Rating |
: 4/5 (78 Downloads) |
Synopsis Meshing, Geometric Modeling and Numerical Simulation, Volume 2 by : Paul Louis George
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.
Author |
: Houman Borouchaki |
Publisher |
: John Wiley & Sons |
Total Pages |
: 389 |
Release |
: 2017-11-29 |
ISBN-10 |
: 9781786300386 |
ISBN-13 |
: 1786300389 |
Rating |
: 4/5 (86 Downloads) |
Synopsis Meshing, Geometric Modeling and Numerical Simulation 1 by : Houman Borouchaki
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.
Author |
: Carlotta Giannelli |
Publisher |
: Springer Nature |
Total Pages |
: 238 |
Release |
: 2019-09-18 |
ISBN-10 |
: 9783030273316 |
ISBN-13 |
: 3030273318 |
Rating |
: 4/5 (16 Downloads) |
Synopsis Advanced Methods for Geometric Modeling and Numerical Simulation by : Carlotta Giannelli
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.
Author |
: Paul Louis George |
Publisher |
: John Wiley & Sons |
Total Pages |
: 352 |
Release |
: 2020-11-06 |
ISBN-10 |
: 9781119788058 |
ISBN-13 |
: 1119788056 |
Rating |
: 4/5 (58 Downloads) |
Synopsis Meshing, Geometric Modeling and Numerical Simulation 3 by : Paul Louis George
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.
Author |
: Grégoire Allaire |
Publisher |
: Oxford University Press, USA |
Total Pages |
: 472 |
Release |
: 2007-05-24 |
ISBN-10 |
: 9780199205219 |
ISBN-13 |
: 0199205213 |
Rating |
: 4/5 (19 Downloads) |
Synopsis Numerical Analysis and Optimization by : Grégoire Allaire
Numerical Analysis and Optimization familiarises students with mathematical models (PDEs) and methods of numerical solution and optimization. Including numerous exercises and examples, this is an ideal text for advanced students in Applied Mathematics, Engineering, Physical Science and Computer Science.
Author |
: Vladimir Boltyanski |
Publisher |
: Springer Science & Business Media |
Total Pages |
: 438 |
Release |
: 2013-12-11 |
ISBN-10 |
: 9781461553199 |
ISBN-13 |
: 1461553199 |
Rating |
: 4/5 (99 Downloads) |
Synopsis Geometric Methods and Optimization Problems by : Vladimir Boltyanski
VII Preface In many fields of mathematics, geometry has established itself as a fruitful method and common language for describing basic phenomena and problems as well as suggesting ways of solutions. Especially in pure mathematics this is ob vious and well-known (examples are the much discussed interplay between lin ear algebra and analytical geometry and several problems in multidimensional analysis). On the other hand, many specialists from applied mathematics seem to prefer more formal analytical and numerical methods and representations. Nevertheless, very often the internal development of disciplines from applied mathematics led to geometric models, and occasionally breakthroughs were b~ed on geometric insights. An excellent example is the Klee-Minty cube, solving a problem of linear programming by transforming it into a geomet ric problem. Also the development of convex programming in recent decades demonstrated the power of methods that evolved within the field of convex geometry. The present book focuses on three applied disciplines: control theory, location science and computational geometry. It is our aim to demonstrate how methods and topics from convex geometry in a wider sense (separation theory of convex cones, Minkowski geometry, convex partitionings, etc.) can help to solve various problems from these disciplines.
Author |
: Guido Brunnett |
Publisher |
: Springer Science & Business Media |
Total Pages |
: 473 |
Release |
: 2013-04-17 |
ISBN-10 |
: 9783662074435 |
ISBN-13 |
: 3662074435 |
Rating |
: 4/5 (35 Downloads) |
Synopsis Geometric Modeling for Scientific Visualization by : Guido Brunnett
Geometric Modeling and Scientific Visualization are both established disciplines, each with their own series of workshops, conferences and journals. But clearly both disciplines overlap; this observation led to the idea of composing a book on Geometric Modeling for Scientific Visualization.
Author |
: Bernard Mourrain |
Publisher |
: Springer Science & Business Media |
Total Pages |
: 324 |
Release |
: 2010-06-09 |
ISBN-10 |
: 9783642134104 |
ISBN-13 |
: 3642134106 |
Rating |
: 4/5 (04 Downloads) |
Synopsis Advances in Geometric Modeling and Processing by : Bernard Mourrain
This book constitutes the refereed proceedings of the 6th International Conference on Geometric Modeling and Processing, GMP 2010, held in Castro Urdiales, Spain, in June 2010. The 20 revised full papers presented were carefully reviewed and selected from a total of 30 submissions. The papers cover a wide spectrum in the area of geometric modeling and processing and address topics such as solutions of transcendental equations; volume parameterization; smooth curves and surfaces; isogeometric analysis; implicit surfaces; and computational geometry.