Geometric Challenges In Isogeometric Analysis

Author : Carla Manni
Publisher : Springer Nature
ISBN 13 : 3030923134
Total Pages : 386 pages
Book Rating : 4.36/5 ( download)

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Download or read book Geometric Challenges in Isogeometric Analysis written by Carla Manni and published by Springer Nature. This book was released on 2022-08-08 with total page 386 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book collects selected contributions presented at the INdAM Workshop "Geometric Challenges in Isogeometric Analysis", held in Rome, Italy on January 27-31, 2020. It gives an overview of the forefront research on splines and their efficient use in isogeometric methods for the discretization of differential problems over complex and trimmed geometries. A variety of research topics in this context are covered, including (i) high-quality spline surfaces on complex and trimmed geometries, (ii) construction and analysis of smooth spline spaces on unstructured meshes, (iii) numerical aspects and benchmarking of isogeometric discretizations on unstructured meshes, meshing strategies and software. Given its scope, the book will be of interest to both researchers and graduate students working in the areas of approximation theory, geometric design and numerical simulation. Chapter 10 is available open access under a Creative Commons Attribution 4.0 International License via link.springer.com.

Author : Andrea Bonito
Publisher : Elsevier
ISBN 13 : 0444643060
Total Pages : 572 pages
Book Rating : 4.63/5 ( download)

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Download or read book Geometric Partial Differential Equations - Part 2 written by Andrea Bonito and published by Elsevier. This book was released on 2021-01-26 with total page 572 pages. Available in PDF, EPUB and Kindle. Book excerpt: Besides their intrinsic mathematical interest, geometric partial differential equations (PDEs) are ubiquitous in many scientific, engineering and industrial applications. They represent an intellectual challenge and have received a great deal of attention recently. The purpose of this volume is to provide a missing reference consisting of self-contained and comprehensive presentations. It includes basic ideas, analysis and applications of state-of-the-art fundamental algorithms for the approximation of geometric PDEs together with their impacts in a variety of fields within mathematics, science, and engineering. About every aspect of computational geometric PDEs is discussed in this and a companion volume. Topics in this volume include stationary and time-dependent surface PDEs for geometric flows, large deformations of nonlinearly geometric plates and rods, level set and phase field methods and applications, free boundary problems, discrete Riemannian calculus and morphing, fully nonlinear PDEs including Monge-Ampere equations, and PDE constrained optimization Each chapter is a complete essay at the research level but accessible to junior researchers and students. The intent is to provide a comprehensive description of algorithms and their analysis for a specific geometric PDE class, starting from basic concepts and concluding with interesting applications. Each chapter is thus useful as an introduction to a research area as well as a teaching resource, and provides numerous pointers to the literature for further reading The authors of each chapter are world leaders in their field of expertise and skillful writers. This book is thus meant to provide an invaluable, readable and enjoyable account of computational geometric PDEs

Author : Christopher G. Provatidis
Publisher : Springer
ISBN 13 : 3030038890
Total Pages : 587 pages
Book Rating : 4.92/5 ( download)

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Download or read book Precursors of Isogeometric Analysis written by Christopher G. Provatidis and published by Springer. This book was released on 2019-01-01 with total page 587 pages. Available in PDF, EPUB and Kindle. Book excerpt: This self-contained book addresses the three most popular computational methods in CAE (finite elements, boundary elements, collocation methods) in a unified way, bridging the gap between CAD and CAE. It includes applications to a broad spectrum of engineering (benchmark) application problems, such as elasto-statics/dynamics and potential problems (thermal, acoustics, electrostatics). It also provides a large number of test cases, with full documentation of original sources, making it a valuable resource for any student or researcher in FEA-related areas. The book, which assumes readers have a basic knowledge of FEA, can be used as additional reading for engineering courses as well as for other interdepartmental MSc courses.

Author : Bert Jüttler
Publisher : Springer
ISBN 13 : 3319233157
Total Pages : 290 pages
Book Rating : 4.54/5 ( download)

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Download or read book Isogeometric Analysis and Applications 2014 written by Bert Jüttler and published by Springer. This book was released on 2015-12-21 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: Isogeometric Analysis is a groundbreaking computational approach that promises the possibility of integrating the finite element method into conventional spline-based CAD design tools. It thus bridges the gap between numerical analysis and geometry, and moreover it allows to tackle new cutting edge applications at the frontiers of research in science and engineering. This proceedings volume contains a selection of outstanding research papers presented at the second International Workshop on Isogeometric Analysis and Applications, held at Annweiler, Germany, in April 2014.

Author : Robin Bouclier
Publisher : John Wiley & Sons
ISBN 13 : 1119988543
Total Pages : 260 pages
Book Rating : 4.40/5 ( download)

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Download or read book IGA written by Robin Bouclier and published by John Wiley & Sons. This book was released on 2022-06-06 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt: Isogeometric analysis (IGA) consists of using the same higher-order and smooth spline functions for the representation of geometry in Computer Aided Design as for the approximation of solution fields in Finite Element Analysis. Now, about fifteen years after its creation, substantial works are being reported in IGA, which make it very competitive in scientific computing. This book provides a contemporary vision of IGA by first discussing the current challenges in achieving a true bridge between design and analysis, then proposing original solutions that answer the issues from an analytical point of view, and, eventually, studying the shape optimization of structures, which is one of the greatest applications of IGA. To handle complex structures, a full analysis-to-optimization framework is developed, based on non-invasive coupling, parallel domain decomposition and immersed geometrical modeling. This seems to be very robust, taking on all of the attractive features of IGA (the design–analysis link, numerical efficiency and natural regularization), giving us the opportunity to explore new types of design.

Author : J. Austin Cottrell
Publisher : John Wiley & Sons
ISBN 13 : 0470749091
Total Pages : 352 pages
Book Rating : 4.98/5 ( download)

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Download or read book Isogeometric Analysis written by J. Austin Cottrell and published by John Wiley & Sons. This book was released on 2009-08-11 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: “The authors are the originators of isogeometric analysis, are excellent scientists and good educators. It is very original. There is no other book on this topic.” —René de Borst, Eindhoven University of Technology Written by leading experts in the field and featuring fully integrated colour throughout, Isogeometric Analysis provides a groundbreaking solution for the integration of CAD and FEA technologies. Tom Hughes and his researchers, Austin Cottrell and Yuri Bazilevs, present their pioneering isogeometric approach, which aims to integrate the two techniques of CAD and FEA using precise NURBS geometry in the FEA application. This technology offers the potential to revolutionise automobile, ship and airplane design and analysis by allowing models to be designed, tested and adjusted in one integrative stage. Providing a systematic approach to the topic, the authors begin with a tutorial introducing the foundations of Isogeometric Analysis, before advancing to a comprehensive coverage of the most recent developments in the technique. The authors offer a clear explanation as to how to add isogeometric capabilities to existing finite element computer programs, demonstrating how to implement and use the technology. Detailed programming examples and datasets are included to impart a thorough knowledge and understanding of the material. Provides examples of different applications, showing the reader how to implement isogeometric models Addresses readers on both sides of the CAD/FEA divide Describes Non-Uniform Rational B-Splines (NURBS) basis functions

Author : Maik Dittmann
Publisher :
ISBN 13 : 9781013280733
Total Pages : 144 pages
Book Rating : 4.33/5 ( download)

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Download or read book Isogeometric Analysis and Hierarchical Refinement for Multi-field Contact Problems written by Maik Dittmann and published by . This book was released on 2020-10-09 with total page 144 pages. Available in PDF, EPUB and Kindle. Book excerpt: The present work deals with multi-field contact problems in the context of IGA. In particular, a thermomechanical as well as a fracture mechanical system is considered, where novel formulations are introduced for both. The corresponding discrete contact formulations are based on a variationally consistent mortar approach adapted for NURBS discretized and hierarchical refined surfaces. Finally, the capabilities of the proposed framework are demonstrated within numerous numerical examples. This work was published by Saint Philip Street Press pursuant to a Creative Commons license permitting commercial use. All rights not granted by the work's license are retained by the author or authors.

Author : Yongjie Jessica Zhang
Publisher : CRC Press
ISBN 13 : 1315360225
Total Pages : 197 pages
Book Rating : 4.25/5 ( download)

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Download or read book Geometric Modeling and Mesh Generation from Scanned Images written by Yongjie Jessica Zhang and published by CRC Press. This book was released on 2018-09-03 with total page 197 pages. Available in PDF, EPUB and Kindle. Book excerpt: Cutting-Edge Techniques to Better Analyze and Predict Complex Physical Phenomena Geometric Modeling and Mesh Generation from Scanned Images shows how to integrate image processing, geometric modeling, and mesh generation with the finite element method (FEM) to solve problems in computational biology, medicine, materials science, and engineering. Based on the author’s recent research and course at Carnegie Mellon University, the text explains the fundamentals of medical imaging, image processing, computational geometry, mesh generation, visualization, and finite element analysis. It also explores novel and advanced applications in computational biology, medicine, materials science, and other engineering areas. One of the first to cover this emerging interdisciplinary field, the book addresses biomedical/material imaging, image processing, geometric modeling and visualization, FEM, and biomedical and engineering applications. It introduces image-mesh-simulation pipelines, reviews numerical methods used in various modules of the pipelines, and discusses several scanning techniques, including ones to probe polycrystalline materials. The book next presents the fundamentals of geometric modeling and computer graphics, geometric objects and transformations, and curves and surfaces as well as two isocontouring methods: marching cubes and dual contouring. It then describes various triangular/tetrahedral and quadrilateral/hexahedral mesh generation techniques. The book also discusses volumetric T-spline modeling for isogeometric analysis (IGA) and introduces some new developments of FEM in recent years with applications.

Author : Gernot Beer
Publisher : Springer
ISBN 13 : 3709118433
Total Pages : 240 pages
Book Rating : 4.36/5 ( download)

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Download or read book Isogeometric Methods for Numerical Simulation written by Gernot Beer and published by Springer. This book was released on 2015-01-29 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book presents the state of the art in isogeometric modeling and shows how the method has advantaged. First an introduction to geometric modeling with NURBS and T-splines is given followed by the implementation into computer software. The implementation in both the FEM and BEM is discussed.

Author : Harald van Brummelen
Publisher : Springer Nature
ISBN 13 : 3030498360
Total Pages : 279 pages
Book Rating : 4.68/5 ( download)

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Download or read book Isogeometric Analysis and Applications 2018 written by Harald van Brummelen and published by Springer Nature. This book was released on 2021-01-13 with total page 279 pages. Available in PDF, EPUB and Kindle. Book excerpt: This proceedings volume gathers a selection of outstanding research papers presented at the third Conference on Isogeometric Analysis and Applications, held in Delft, The Netherlands, in April 2018. This conference series, previously held in Linz, Austria, in 2012 and Annweiler am Trifels, Germany, in 2014, has created an international forum for interaction between scientists and practitioners working in this rapidly developing field. Isogeometric analysis is a groundbreaking computational approach that aims to bridge the gap between numerical analysis and computational geometry modeling by integrating the finite element method and related numerical simulation techniques into the computer-aided design workflow, and vice versa. The methodology has matured over the last decade both in terms of our theoretical understanding, its mathematical foundation and the robustness and efficiency of its practical implementations. This development has enabled scientists and practitioners to tackle challenging new applications at the frontiers of research in science and engineering and attracted early adopters for this his novel computer-aided design and engineering technology in industry. The IGAA 2018 conference brought together experts on isogeometric analysis theory and application, share their insights into challenging industrial applications and to discuss the latest developments as well as the directions of future research and development that are required to make isogeometric analysis an established mainstream technology.