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Author: Simona Perotto
Publisher: Springer
ISBN: 3319060538
Category : Mathematics
Languages : en
Pages : 326
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Book Description
This volume collects selected contributions from the “Fourth Tetrahedron Workshop on Grid Generation for Numerical Computations”, which was held in Verbania, Italy in July 2013. The previous editions of this Workshop were hosted by the Weierstrass Institute in Berlin (2005), by INRIA Rocquencourt in Paris (2007), and by Swansea University (2010). This book covers different, though related, aspects of the field: the generation of quality grids for complex three-dimensional geometries; parallel mesh generation algorithms; mesh adaptation, including both theoretical and implementation aspects; grid generation and adaptation on surfaces – all with an interesting mix of numerical analysis, computer science and strongly application-oriented problems.
Author: Simona Perotto
Publisher: Springer
ISBN: 3319060538
Category : Mathematics
Languages : en
Pages : 326
Get Book Here
Book Description
This volume collects selected contributions from the “Fourth Tetrahedron Workshop on Grid Generation for Numerical Computations”, which was held in Verbania, Italy in July 2013. The previous editions of this Workshop were hosted by the Weierstrass Institute in Berlin (2005), by INRIA Rocquencourt in Paris (2007), and by Swansea University (2010). This book covers different, though related, aspects of the field: the generation of quality grids for complex three-dimensional geometries; parallel mesh generation algorithms; mesh adaptation, including both theoretical and implementation aspects; grid generation and adaptation on surfaces – all with an interesting mix of numerical analysis, computer science and strongly application-oriented problems.
Author: Xevi Roca
Publisher: Springer
ISBN: 3030139921
Category : Computers
Languages : en
Pages : 481
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Book Description
The International Meshing Roundtable (IMR) brings together researchers, developers, and application experts in a variety of disciplines, from all over the world, to present and discuss ideas on mesh generation and related topics. The technical papers in this volume present theoretical and novel ideas and algorithms with practical potential, as well as technical applications in science and engineering, geometric modelling, computer graphics, and visualization.
Author: Harald van Brummelen
Publisher: Springer Nature
ISBN: 3030307050
Category : Mathematics
Languages : en
Pages : 358
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Book Description
This book includes selected contributions on applied mathematics, numerical analysis, numerical simulation and scientific computing related to fluid mechanics problems, presented at the FEF-“Finite Element for Flows” conference, held in Rome in spring 2017. Written by leading international experts and covering state-of-the-art topics in numerical simulation for flows, it provides fascinating insights into and perspectives on current and future methodological and numerical developments in computational science. As such, the book is a valuable resource for researchers, as well as Masters and Ph.D students.
Author: A. Marinò
Publisher: IOS Press
ISBN: 1614998701
Category : Technology & Engineering
Languages : en
Pages : 1078
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Book Description
In 1974, a scientific conference covering marine automation group and large vessels issues was organized under the patronage of the Technical Naval Studies Centre (CETENA) and the Italian National Research Council (CNR). A later collaboration with the Marine Technical Association (ATENA) led to the renaming of the conference as NAV, extending the topics covered to the technical field previously covered by ATENA national conferences. The NAV conference is now held every 3 years, and attracts specialists from all over the world. This book presents the proceedings of NAV 2018, held in Trieste, Italy, in June 2018. The book contains 70 scientific papers, 35 technical papers and 16 reviews, and subjects covered include: comfort on board; conceptual and practical ship design; deep sea mining and marine robotics; protection of the environment; renewable marine energy; design and engineering of offshore vessels; digitalization, unmanned vehicles and cyber security; yacht and pleasure craft design and inland waterway vessels. With its comprehensive coverage of scientific and technical maritime issues, the book will be of interest to all those involved in this important industry.
Author: S. Kevin Zhou
Publisher: Academic Press
ISBN: 0128165863
Category : Computers
Languages : en
Pages : 1074
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Book Description
Handbook of Medical Image Computing and Computer Assisted Intervention presents important advanced methods and state-of-the art research in medical image computing and computer assisted intervention, providing a comprehensive reference on current technical approaches and solutions, while also offering proven algorithms for a variety of essential medical imaging applications. This book is written primarily for university researchers, graduate students and professional practitioners (assuming an elementary level of linear algebra, probability and statistics, and signal processing) working on medical image computing and computer assisted intervention. - Presents the key research challenges in medical image computing and computer-assisted intervention - Written by leading authorities of the Medical Image Computing and Computer Assisted Intervention (MICCAI) Society - Contains state-of-the-art technical approaches to key challenges - Demonstrates proven algorithms for a whole range of essential medical imaging applications - Includes source codes for use in a plug-and-play manner - Embraces future directions in the fields of medical image computing and computer-assisted intervention
Author: Aldo Frediani
Publisher: Springer
ISBN: 3319456806
Category : Mathematics
Languages : en
Pages : 535
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Book Description
This book presents papers surrounding the extensive discussions that took place from the ‘Variational Analysis and Aerospace Engineering’ workshop held at the Ettore Majorana Foundation and Centre for Scientific Culture in 2015. Contributions to this volume focus on advanced mathematical methods in aerospace engineering and industrial engineering such as computational fluid dynamics methods, optimization methods in aerodynamics, optimum controls, dynamic systems, the theory of structures, space missions, flight mechanics, control theory, algebraic geometry for CAD applications, and variational methods and applications. Advanced graduate students, researchers, and professionals in mathematics and engineering will find this volume useful as it illustrates current collaborative research projects in applied mathematics and aerospace engineering.
Author: Peter Minev
Publisher: Nova Publishers
ISBN: 9781590330272
Category : Computers
Languages : en
Pages : 312
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Book Description
Scientific Computing & Applications
Author: Vladimir D. Liseikin
Publisher: Springer Science & Business Media
ISBN: 9048129125
Category : Science
Languages : en
Pages : 390
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Book Description
This text is an introduction to methods of grid generation technology in scientific computing. Special attention is given to methods developed by the author for the treatment of singularly-perturbed equations, e.g. in modeling high Reynolds number flows. Functionals of conformality, orthogonality, energy and alignment are discussed.
Author: Vladimir A. Garanzha
Publisher: Springer Nature
ISBN: 3030767981
Category : Mathematics
Languages : en
Pages : 419
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Book Description
The focus of these conference proceedings is on research, development, and applications in the fields of numerical geometry, scientific computing and numerical simulation, particularly in mesh generation and related problems. In addition, this year’s special focus is on Delaunay triangulations and their applications, celebrating the 130th birthday of Boris Delaunay. In terms of content, the book strikes a balance between engineering algorithms and mathematical foundations. It presents an overview of recent advances in numerical geometry, grid generation and adaptation in terms of mathematical foundations, algorithm and software development and applications. The specific topics covered include: quasi-conformal and quasi-isometric mappings, hyperelastic deformations, multidimensional generalisations of the equidistribution principle, discrete differential geometry, spatial and metric encodings, Voronoi-Delaunay theory for tilings and partitions, duality in mathematical programming and numerical geometry, mesh-based optimisation and optimal control methods. Further aspects examined include iterative solvers for variational problems and algorithm and software development. The applications of the methods discussed are multidisciplinary and include problems from mathematics, physics, biology, chemistry, material science, and engineering.
Author: Matthias Grajewski
Publisher: Logos Verlag Berlin GmbH
ISBN: 3832519033
Category : Mathematics
Languages : en
Pages : 158
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Book Description
Thema der vorliegenden Arbeit ist die Entwicklung und Realisierung einer neuen Methode zur Gitterdeformation im Hinblick auf die Anwendung in r- und rh-adaptiven Verfahren. Das neu entwickelte Verfahren wird sowohl numerisch als auchtheoretisch analysiert. Die vorliegende Arbeit ist in sechs Kapitel gegliedert.Das erste Kapitel stellt den gegenwartigen Stand der Mathematik auf den Gebieten Fehlerkontrolle und Gittersteuerung dar. Besonderes Augenmerk liegt auf einer ubersicht gangiger Verfahren zur Gitterdeformation, also Methoden zur Neuanordnung der Punkte eines gegebenen Gitters unter Beibehaltung seiner Topologie. Hinzu kommt die Darstellung des Aspekts der hardware-orientierten Numerik. Hier geht es darum, durch ein geeignetes Design der numerischen Verfahren die Leistungsfahigkeit heutiger Computer voll auszuschopfen. Im zweiten Kapitel wird das Basisverfahren zur Gitterdeformation hergeleitet und grundlegende Eigenschaften der Methode bewiesen. Das neue Verfahren wird mit dem Vorlauferverfahren von Liao verglichen, wobei die weitaus grossere Flexibilitat der neuen Methode deutlich wird. Im letzten Teil dieses Kapitels wird die numerische Realisierung der Deformationsmethode mithilfe von FE-Ansatzen thematisiert. Das dritte Kapitel beinhaltet den Kern der Dissertation: Die theoretische und numerische Analyse des im zweiten Kapitel vorgestellten Basisverfahrens. Nach der Formulierung eines geeigneten Konvergenzbegriffes wird die Konvergenz der numerischen Realisierung des Deformationsverfahrens bewiesen. Sowohl der Konvergenzbegriff als auch die Konvergenzaussage sind neu und wurden bisher in der Literatur auch nicht in ahnlicher Weise formuliert. Ausfuhrliche numerische Tests bestatigen die theoretischen Ergebnisse. Das in Kapitel 2 eingefuhrte Basisverfahren wird hinsichtlich Genauigkeit und Robustheit weiterentwickelt. Durch geeignete Ausnutzung der Gitterhierarchie gelingt es mit der sog. Multilevel-Deformation ein Verfahren bereitzustellen, welches von optimaler Komplexitat ist. Im letzten Teil des Kapitels wird diese Multilevel-Deformation auf das L-Gebiet angewandt. Den Schwerpunkt im vierten Kapitel bildet die Anwendung der Gitterdeformation auf die Poisson-Gleichung auf dem L-Gebiet. Der Gradientenfehler wird auf a priori deformierten Gittern betrachtet. Die mit der Gitterdeformation erzeugten Gitter ermoglichen eine fur Q_1-Elemente optimale Konvergenzordnung. Nach einer numerischen Untersuchung des ZZ-Schatzers auf solchen Gittern wird ein voll r-adaptiver Algorithmus formuliert und getestet. Die Gitterdeformation wird nun vollautomatisch durch der geschatzten Fehlerverteilung gesteuert. Die so gewonnenen Ergebnisse sind in ihrer Genauigkeit mit den a priori gewonnen Resultaten vergleichbar. Das funfte Kapitel beinhaltet eine Erweiterung des zuvor eingefuhrten r-adaptiven Verfahrens um regulare Gitterverfeinerung und ihre Anwendung auf die Laplace-Gleichung auf dem L-Gebiet. Es werden zwei rh-adaptive Algorithmen betrachtet. Der zweite Algorithmus verzichtet auf hangende Knoten und erweist sich dem ersten als uberlegen; die Resultate entsprechen in ihrer Genauigkeit etwa den mit reiner r-Adaptivitat gewonnen Werten, erfordern aber eine erheblich geringere Rechenzeit.Im letzten Abschnitt wird die zuvor entwickelte rh-adaptive Methode auf Diffusionsprobleme mit anisotropem Diffusionstensor angewendet, die sich aus Problemen des Grundwasserflusses motivieren. Mithilfe des rh-adaptiven Verfahrens konnen nicht nur der Gradientenfehler, sondern auch abgeleitete Grossen wie der Punktfehler signifikant verringert werden. Hierbei wird die Verteilung des Punktfehlers mithilfe der DWR-Methode ermittelt. Das sechste und letzte Kapitel beinhaltet eine Zusammenfassung der Arbeit und zeigtAnsatzpunkte fur eine Fortentwicklung auf.
