Analysis And Implementation Of Isogeometric Boundary Elements For Electromagnetism

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Analysis And Implementation Of Isogeometric Boundary Elements For Electromagnetism
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Author : Felix Wolf
language : en
Publisher: Springer Nature
Release Date : 2020-11-30
Analysis And Implementation Of Isogeometric Boundary Elements For Electromagnetism written by Felix Wolf and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-11-30 with Technology & Engineering categories.
This book presents a comprehensive mathematical and computational approach for solving electromagnetic problems of practical relevance, such as electromagnetic scattering and the cavity problems. After an in-depth introduction to the mathematical foundations of isogeometric analysis, which discusses how to conduct higher-order simulations efficiently and without the introduction of geometrical errors, the book proves quasi-optimal approximation properties for all trace spaces of the de Rham sequence, and demonstrates inf-sup stability of the isogeometric discretisation of the electric field integral equation (EFIE). Theoretical properties and algorithms are described in detail. The algorithmic approach is, in turn, validated through a series of numerical experiments aimed at solving a set of electromagnetic scattering problems. In the last part of the book, the boundary element method is combined with a novel eigenvalue solver, a so-called contour integral method. An algorithm is presented, together with a set of successful numerical experiments, showing that the eigenvalue solver benefits from the high orders of convergence offered by the boundary element approach. Last, the resulting software, called BEMBEL (Boundary Element Method Based Engineering Library), is reviewed: the user interface is presented, while the underlying design considerations are explained in detail. Given its scope, this book bridges an important gap between numerical analysis and engineering design of electromagnetic devices.
Wave Propagation In Complex Environments
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Author : Leilei Chen
language : en
Publisher: Frontiers Media SA
Release Date : 2024-12-02
Wave Propagation In Complex Environments written by Leilei Chen and has been published by Frontiers Media SA this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-12-02 with Science categories.
The problem of wave propagation, such as elastic waves, acoustic waves, and electromagnetic waves, are commonly encountered in a wide range of areas, including civil engineering, mechanical engineering, wireless communication, remote sensing, meteorology, etc. In realistic scenarios, waves normally propagate in complex environments. Electromagnetic waves are transmitted through the medium with small particles that have significant scattering and absorbing effects. Sound waves radiated by underwater vehicles in shallow seas are reflected by the sea surface and seabed. Wave propagation in complex environments is often associated with multi-physics fields. Ultrasound waves propagation in porous media can generate heat, and elastic waves in piezoelectric materials induce electric fields. In addition, the physical mechanism of wave propagation in complex environments should be investigated across different scales. For example, to understand the interaction between light transmission and the matters in the surrounding medium, it is necessary to couple particle physics, electromagnetics, and geometric optics.
The Isogeometric Boundary Element Method
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Author : Gernot Beer
language : en
Publisher: Springer Nature
Release Date : 2019-09-21
The Isogeometric Boundary Element Method written by Gernot Beer and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-09-21 with Science categories.
This book discusses the introduction of isogeometric technology to the boundary element method (BEM) in order to establish an improved link between simulation and computer aided design (CAD) that does not require mesh generation. In the isogeometric BEM, non-uniform rational B-splines replace the Lagrange polynomials used in conventional BEM. This may seem a trivial exercise, but if implemented rigorously, it has profound implications for the programming, resulting in software that is extremely user friendly and efficient. The BEM is ideally suited for linking with CAD, as both rely on the definition of objects by boundary representation. The book shows how the isogeometric philosophy can be implemented and how its benefits can be maximised with a minimum of user effort. Using several examples, ranging from potential problems to elasticity, it demonstrates that the isogeometric approach results in a drastic reduction in the number of unknowns and an increase in the quality of the results. In some cases even exact solutions without refinement are possible. The book also presents a number of practical applications, demonstrating that the development is not only of academic interest. It then elegantly addresses heterogeneous and non-linear problems using isogeometric concepts, and tests them on several examples, including a severely non-linear problem in viscous flow. The book makes a significant contribution towards a seamless integration of CAD and simulation, which eliminates the need for tedious mesh generation and provides high-quality results with minimum user intervention and computing.
Advances In Mechanism And Machine Science
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Author : Tadeusz Uhl
language : en
Publisher: Springer
Release Date : 2019-06-13
Advances In Mechanism And Machine Science written by Tadeusz Uhl and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-06-13 with Technology & Engineering categories.
This book gathers the proceedings of the 15th IFToMM World Congress, which was held in Krakow, Poland, from June 30 to July 4, 2019. Having been organized every four years since 1965, the Congress represents the world’s largest scientific event on mechanism and machine science (MMS). The contributions cover an extremely diverse range of topics, including biomechanical engineering, computational kinematics, design methodologies, dynamics of machinery, multibody dynamics, gearing and transmissions, history of MMS, linkage and mechanical controls, robotics and mechatronics, micro-mechanisms, reliability of machines and mechanisms, rotor dynamics, standardization of terminology, sustainable energy systems, transportation machinery, tribology and vibration. Selected by means of a rigorous international peer-review process, they highlight numerous exciting advances and ideas that will spur novel research directions and foster new multidisciplinary collaborations.
Moving Boundary Problems In Multi Physics Coupling Processes
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Author : Leilei Chen
language : en
Publisher: Frontiers Media SA
Release Date : 2023-07-19
Moving Boundary Problems In Multi Physics Coupling Processes written by Leilei Chen and has been published by Frontiers Media SA this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-07-19 with Science categories.
Ocean Wave Energy Technology
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Author : Alireza Shadmani
language : en
Publisher: Springer Nature
Release Date : 2025-08-25
Ocean Wave Energy Technology written by Alireza Shadmani and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-08-25 with Technology & Engineering categories.
This book demonstrates the transformative power of optimization algorithms in advancing ocean wave energy. It blends theory with practice to explain how computational optimization can dramatically enhance the efficiency and performance of wave energy converters - devices that harness the power of ocean waves for renewable energy. The books illustrations and detailed tables provide visual and comparative insights into the interactions between various algorithmic approaches and wave energy systems, helping make complex engineering concepts accessible to non-specialists. With real-world case studies and innovative perspectives on algorithmic optimization in wave farm design, this book serves as a comprehensive gateway to understanding not only the fundamentals of wave energy but also the cutting-edge techniques steering the field toward a more sustainable future.
Modelling Simulation And Data Analysis In Acoustical Problems
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Author : Claudio Guarnaccia
language : en
Publisher: MDPI
Release Date : 2020-06-23
Modelling Simulation And Data Analysis In Acoustical Problems written by Claudio Guarnaccia and has been published by MDPI this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-06-23 with Science categories.
Modelling and simulation in acoustics is currently gaining importance. In fact, with the development and improvement of innovative computational techniques and with the growing need for predictive models, an impressive boost has been observed in several research and application areas, such as noise control, indoor acoustics, and industrial applications. This led us to the proposal of a special issue about “Modelling, Simulation and Data Analysis in Acoustical Problems”, as we believe in the importance of these topics in modern acoustics’ studies. In total, 81 papers were submitted and 33 of them were published, with an acceptance rate of 37.5%. According to the number of papers submitted, it can be affirmed that this is a trending topic in the scientific and academic community and this special issue will try to provide a future reference for the research that will be developed in coming years.
Boundary Elements And Other Mesh Reduction Methods Xliv
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Author : A. H.-D. Cheng
language : en
Publisher: WIT Press
Release Date : 2021-08-31
Boundary Elements And Other Mesh Reduction Methods Xliv written by A. H.-D. Cheng and has been published by WIT Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-08-31 with Mathematics categories.
The maturity of BEM over the last few decades has resulted in a substantial number of industrial applications of the method; this demonstrates its accuracy, robustness and ease of use. The range of applications still needs to be widened, taking into account the potentialities of the Mesh Reduction techniques in general. Theoretical developments and new formulations have been reported over the last few decades, helping to expand the range of boundary elements and other mesh reduction methods (BEM/MRM) applications as well as the type of modelled materials in response to the requirements of contemporary industrial and professional environments. As design, analysis and manufacture become more integrated, the chances are that software users will be less aware of the capabilities of the analytical techniques that are at the core of the process. This reinforces the need to retain expertise in certain specialised areas of numerical methods, such as BEM/MRM, to ensure that all new tools perform satisfactorily within the aforementioned integrated process. The papers included were presented at the 44th International Conference on Boundary Elements and other Mesh Reduction Methods and report advances in techniques that reduce or eliminate the type of meshes associated with finite elements or finite differences.
Error Control Adaptive Discretizations And Applications Part 1
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Author :
language : en
Publisher: Elsevier
Release Date : 2024-06-29
Error Control Adaptive Discretizations And Applications Part 1 written by and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-06-29 with Science categories.
Error Control, Adaptive Discretizations, and Applications, Volume 58, Part One highlights new advances in the field, with this new volume presenting interesting chapters written by an international board of authors. Chapters in this release cover hp adaptive Discontinuous Galerkin strategies driven by a posteriori error estimation with application to aeronautical flow problems, An anisotropic mesh adaptation method based on gradient recovery and optimal shape elements, and Model reduction techniques for parametrized nonlinear partial differential equations. - Covers multi-scale modeling - Includes updates on data-driven modeling - Presents the latest information on large deformations of multi-scale materials
Isogeometric Analysis
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Author : J. Austin Cottrell
language : en
Publisher: John Wiley & Sons
Release Date : 2009-08-11
Isogeometric Analysis written by J. Austin Cottrell and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-08-11 with Technology & Engineering categories.
“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