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Geometric Modelling, Numerical Simulation, and Optimization:

Geometric Modelling, Numerical Simulation, and Optimization:
Author: Geir Hasle
Publisher: Springer Science & Business Media
Total Pages: 559
Release: 2007-06-10
Genre: Mathematics
ISBN: 3540687831

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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.


Geometric Modelling, Numerical Simulation, and Optimization:

Geometric Modelling, Numerical Simulation, and Optimization:
Author: Geir Hasle
Publisher: Springer
Total Pages: 558
Release: 2009-09-02
Genre: Mathematics
ISBN: 9783540834182

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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.


Meshing, Geometric Modeling and Numerical Simulation 1

Meshing, Geometric Modeling and Numerical Simulation 1
Author: Houman Borouchaki
Publisher: John Wiley & Sons
Total Pages: 389
Release: 2017-11-29
Genre: Mathematics
ISBN: 1786300389

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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.


Meshing, Geometric Modeling and Numerical Simulation, Volume 2

Meshing, Geometric Modeling and Numerical Simulation, Volume 2
Author: Paul Louis George
Publisher: John Wiley & Sons
Total Pages: 420
Release: 2019-05-29
Genre: Mathematics
ISBN: 1786301172

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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.


Advanced Methods for Geometric Modeling and Numerical Simulation

Advanced Methods for Geometric Modeling and Numerical Simulation
Author: Carlotta Giannelli
Publisher: Springer Nature
Total Pages: 238
Release: 2019-09-18
Genre: Mathematics
ISBN: 3030273318

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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 3

Meshing, Geometric Modeling and Numerical Simulation 3
Author: Paul Louis George
Publisher: John Wiley & Sons
Total Pages: 352
Release: 2020-11-04
Genre: Mathematics
ISBN: 1119788064

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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.


Advances in Geometric Modeling and Processing

Advances in Geometric Modeling and Processing
Author: Falai Chen
Publisher: Springer Science & Business Media
Total Pages: 615
Release: 2008-04-07
Genre: Computers
ISBN: 3540792457

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This book constitutes the refereed proceedings of the 5th International Conference on Geometric Modeling and Processing, GMP 2008, held in Hangzhou, China, in April 2008. The 34 revised full papers and 17 revised short papers presented were carefully reviewed and selected from a total of 113 submissions. The papers cover a wide spectrum in the area of geometric modeling and processing and address topics such as curves and surfaces, digital geometry processing, geometric feature modeling and recognition, geometric constraint solving, geometric optimization, multiresolution modeling, and applications in computer vision, image processing, scientific visualization, robotics and reverse engineering.


Numerical Analysis and Optimization

Numerical Analysis and Optimization
Author: Grégoire Allaire
Publisher: OUP Oxford
Total Pages: 472
Release: 2007-05-24
Genre: Mathematics
ISBN: 0191525529

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This text, based on the author's teaching at École Polytechnique, introduces the reader to the world of mathematical modelling and numerical simulation. Covering the finite difference method; variational formulation of elliptic problems; Sobolev spaces; elliptical problems; the finite element method; Eigenvalue problems; evolution problems; optimality conditions and algorithms and methods of operational research, and including a several exercises throughout, this is an ideal text for advanced undergraduate students and graduates in applied mathematics, engineering, computer science, and the physical sciences.


Geometric Modeling for Scientific Visualization

Geometric Modeling for Scientific Visualization
Author: Guido Brunnett
Publisher: Springer Science & Business Media
Total Pages: 473
Release: 2013-04-17
Genre: Mathematics
ISBN: 3662074435

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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.


Modeling, Simulation and Optimization for Science and Technology

Modeling, Simulation and Optimization for Science and Technology
Author: William Fitzgibbon
Publisher: Springer
Total Pages: 248
Release: 2014-06-18
Genre: Technology & Engineering
ISBN: 940179054X

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This volume contains thirteen articles on advances in applied mathematics and computing methods for engineering problems. Six papers are on optimization methods and algorithms with emphasis on problems with multiple criteria; four articles are on numerical methods for applied problems modeled with nonlinear PDEs; two contributions are on abstract estimates for error analysis; finally one paper deals with rare events in the context of uncertainty quantification. Applications include aerospace, glaciology and nonlinear elasticity. Herein is a selection of contributions from speakers at two conferences on applied mathematics held in June 2012 at the University of Jyväskylä, Finland. The first conference, “Optimization and PDEs with Industrial Applications” celebrated the seventieth birthday of Professor Jacques Périaux of the University of Jyväskylä and Polytechnic University of Catalonia (Barcelona Tech) and the second conference, “Optimization and PDEs with Applications” celebrated the seventy-fifth birthday of Professor Roland Glowinski of the University of Houston. This work should be of interest to researchers and practitioners as well as advanced students or engineers in computational and applied mathematics or mechanics.