Fast Boundary Element Methods In Engineering And Industrial Applications

Author : Ulrich Langer,Martin Schanz,Olaf Steinbach,Wolfgang L. Wendland
Publisher : Springer Science & Business Media
Page : 278 pages
File Size : 41,7 Mb
Release : 2012-02-02
Category : Technology & Engineering
ISBN : 9783642256707

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Fast Boundary Element Methods in Engineering and Industrial Applications by Ulrich Langer,Martin Schanz,Olaf Steinbach,Wolfgang L. Wendland Pdf

This volume contains eight state of the art contributions on mathematical aspects and applications of fast boundary element methods in engineering and industry. This covers the analysis and numerics of boundary integral equations by using differential forms, preconditioning of hp boundary element methods, the application of fast boundary element methods for solving challenging problems in magnetostatics, the simulation of micro electro mechanical systems, and for contact problems in solid mechanics. Other contributions are on recent results on boundary element methods for the solution of transient problems. This book is addressed to researchers, graduate students and practitioners working on and using boundary element methods. All contributions also show the great achievements of interdisciplinary research between mathematicians and engineers, with direct applications in engineering and industry.

Author : Martin Schanz,Olaf Steinbach
Publisher : Springer Science & Business Media
Page : 360 pages
File Size : 42,5 Mb
Release : 2007-04-29
Category : Technology & Engineering
ISBN : 9783540475330

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Boundary Element Analysis by Martin Schanz,Olaf Steinbach Pdf

This volume contains eleven contributions on boundary integral equation and boundary element methods. Beside some historical and more analytical aspects in the formulation and analysis of boundary integral equations, modern fast boundary element methods are also described and analyzed from a mathematical point of view. In addition, the book presents engineering and industrial applications that show the ability of boundary element methods to solve challenging problems from different fields.

Author : Martin Schanz,Olaf Steinbach
Publisher : Springer
Page : 354 pages
File Size : 52,8 Mb
Release : 2007-01-04
Category : Technology & Engineering
ISBN : 354047465X

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Boundary Element Analysis by Martin Schanz,Olaf Steinbach Pdf

This volume contains eleven contributions on boundary integral equation and boundary element methods. Beside some historical and more analytical aspects in the formulation and analysis of boundary integral equations, modern fast boundary element methods are also described and analyzed from a mathematical point of view. In addition, the book presents engineering and industrial applications that show the ability of boundary element methods to solve challenging problems from different fields.

Author : C. A. Brebbia,M. H. Aliabadi
Publisher : Unknown
Page : 197 pages
File Size : 49,9 Mb
Release : 1993
Category : Boundary element methods
ISBN : 1853121835

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Industrial Applications of the Boundary Element Method by C. A. Brebbia,M. H. Aliabadi Pdf

Author : Cheng, A. H-D,Tadeu, A.
Publisher : WIT Press
Page : 313 pages
File Size : 42,6 Mb
Release : 2019-09-13
Category : Mathematics
ISBN : 9781784663414

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Boundary Elements and other Mesh Reduction Methods XLII by Cheng, A. H-D,Tadeu, A. Pdf

Originating from the 42nd conference on Boundary Elements and other Mesh Reduction Methods (BEM/MRM), the research presented in this book consist of high quality papers that report on advances in techniques that reduce or eliminate the type of meshes associated with such methods as finite elements or finite differences.

Author : Ulrich Langer,Olaf Steinbach
Publisher : Walter de Gruyter GmbH & Co KG
Page : 261 pages
File Size : 54,7 Mb
Release : 2019-09-23
Category : Mathematics
ISBN : 9783110548488

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Space-Time Methods by Ulrich Langer,Olaf Steinbach Pdf

This volume provides an introduction to modern space-time discretization methods such as finite and boundary elements and isogeometric analysis for time-dependent initial-boundary value problems of parabolic and hyperbolic type. Particular focus is given on stable formulations, error estimates, adaptivity in space and time, efficient solution algorithms, parallelization of the solution pipeline, and applications in science and engineering.

Author : Ivan Graham,Ulrich Langer,Jens Melenk,Mourad Sini
Publisher : Walter de Gruyter
Page : 328 pages
File Size : 55,7 Mb
Release : 2013-10-14
Category : Mathematics
ISBN : 9783110282283

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Direct and Inverse Problems in Wave Propagation and Applications by Ivan Graham,Ulrich Langer,Jens Melenk,Mourad Sini Pdf

This book is the third volume of three volume series recording the "Radon Special Semester 2011 on Multiscale Simulation & Analysis in Energy and the Environment" taking place in Linz, Austria, October 3-7, 2011. This book surveys recent developments in the analysis of wave propagation problems. The topics covered include aspects of the forward problem and problems in inverse problems, as well as applications in the earth sciences. Wave propagation problems are ubiquitous in environmental applications such as seismic analysis, acoustic and electromagnetic scattering. The design of efficient numerical methods for the forward problem, in which the scattered field is computed from known geometric configurations is very challenging due to the multiscale nature of the problems. Even more challenging are inverse problems where material parameters and configurations have to be determined from measurements in conjunction with the forward problem. This book contains review articles covering several state-of-the-art numerical methods for both forward and inverse problems. This collection of survey articles focusses on the efficient computation of wave propagation and scattering is a core problem in numerical mathematics, which is currently of great research interest and is central to many applications in energy and the environment. Two generic applications which resonate strongly with the central aims of the Radon Special Semester 2011 are forward wave propagation in heterogeneous media and seismic inversion for subsurface imaging. As an example of the first application, modelling of absorption and scattering of radiation by clouds, aerosol and precipitation is used as a tool for interpretation of (e.g.) solar, infrared and radar measurements, and as a component in larger weather/climate prediction models in numerical weather forecasting. As an example of the second application, inverse problems in wave propagation in heterogeneous media arise in the problem of imaging the subsurface below land or marine deposits. The book records the achievements of Workshop 3 "Wave Propagation and Scattering, Inverse Problems and Applications in Energy and the Environment". It brings together key numerical mathematicians whose interest is in the analysis and computation of wave propagation and scattering problems, and in inverse problems, together with practitioners from engineering and industry whose interest is in the applications of these core problems.

Author : Zdeněk Dostál,Tomáš Kozubek,Marie Sadowská,Vít Vondrák
Publisher : Springer
Page : 340 pages
File Size : 45,6 Mb
Release : 2017-01-25
Category : Mathematics
ISBN : 9781493968343

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Scalable Algorithms for Contact Problems by Zdeněk Dostál,Tomáš Kozubek,Marie Sadowská,Vít Vondrák Pdf

This book presents a comprehensive and self-contained treatment of the authors’ newly developed scalable algorithms for the solutions of multibody contact problems of linear elasticity. The brand new feature of these algorithms is theoretically supported numerical scalability and parallel scalability demonstrated on problems discretized by billions of degrees of freedom. The theory supports solving multibody frictionless contact problems, contact problems with possibly orthotropic Tresca’s friction, and transient contact problems. It covers BEM discretization, jumping coefficients, floating bodies, mortar non-penetration conditions, etc. The exposition is divided into four parts, the first of which reviews appropriate facets of linear algebra, optimization, and analysis. The most important algorithms and optimality results are presented in the third part of the volume. The presentation is complete, including continuous formulation, discretization, decomposition, optimality results, and numerical experiments. The final part includes extensions to contact shape optimization, plasticity, and HPC implementation. Graduate students and researchers in mechanical engineering, computational engineering, and applied mathematics, will find this book of great value and interest.

Author : A.H-D. Cheng,C.A. Brebbia
Publisher : WIT Press
Page : 361 pages
File Size : 55,7 Mb
Release : 2015-11-16
Category : Mathematics
ISBN : 9781784660277

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Boundary Elements and Other Mesh Reduction Methods XXXVIII by A.H-D. Cheng,C.A. Brebbia Pdf

Containing the latest in a long line of conferences covering the most recent advances in Boundary Elements and Mesh Reduction Methods (BEM/MRM), this book contains an important chapter in the history of this important method used in science and engineering. The BEM/MRM conference has long been recognised as THE international forum on the technique. The proceedings of the conference therefore constitute a record of the development of the method, running from the initial successful development of boundary integral techniques into the BEM, a method that eliminates the need for an internal mesh, to the recent and most sophisticated Mesh Reduction and even Meshless Methods. Since the boundary elements, mesh reduction, and meshless methods are used in many engineering and scientific fields, the book will be of great interest to all engineers and scientists working within the areas of numerical analysis, boundary elements and meshless methods. Topics covered include: Advanced formulations; Advanced meshless and mesh reduction methods; Structural mechanics applications; Solid mechanics; Heat and mass transfer, Electrical engineering and electromagnetics; Computational methods; Fluid flow modelling; Damage mechanics and fracture; Dynamics and Vibrations Engineering applications.

Author : Joachim Gwinner,Ernst Peter Stephan
Publisher : Springer
Page : 661 pages
File Size : 43,6 Mb
Release : 2018-07-28
Category : Mathematics
ISBN : 9783319920016

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Advanced Boundary Element Methods by Joachim Gwinner,Ernst Peter Stephan Pdf

This book is devoted to the mathematical analysis of the numerical solution of boundary integral equations treating boundary value, transmission and contact problems arising in elasticity, acoustic and electromagnetic scattering. It serves as the mathematical foundation of the boundary element methods (BEM) both for static and dynamic problems. The book presents a systematic approach to the variational methods for boundary integral equations including the treatment with variational inequalities for contact problems. It also features adaptive BEM, hp-version BEM, coupling of finite and boundary element methods – efficient computational tools that have become extremely popular in applications. Familiarizing readers with tools like Mellin transformation and pseudodifferential operators as well as convex and nonsmooth analysis for variational inequalities, it concisely presents efficient, state-of-the-art boundary element approximations and points to up-to-date research. The authors are well known for their fundamental work on boundary elements and related topics, and this book is a major contribution to the modern theory of the BEM (especially for error controlled adaptive methods and for unilateral contact and dynamic problems) and is a valuable resource for applied mathematicians, engineers, scientists and graduate students.

Author : Trevor Cox,Peter D’Antonio
Publisher : CRC Press
Page : 753 pages
File Size : 55,8 Mb
Release : 2016-11-18
Category : Technology & Engineering
ISBN : 9781315352220

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Acoustic Absorbers and Diffusers by Trevor Cox,Peter D’Antonio Pdf

This definitive guide covers the design and application of absorbers and diffusers in acoustics. Surface diffusion is a relatively young subject area, and diffuser design, application and characterisation are often not well understood. Although there is greater knowledge of absorption, it is also informed by new research. As two of the main design tools for altering the acoustic conditions of rooms, the correct use of absorbers and diffusers is important to the creation of quality acoustics. This text details the evolution and the current state of the art in diffuser and absorber research and application. It covers a range of practical and theoretical aspects, with extensive examples of installations and case studies to cater to practitioners working in the measurement, modelling and design of rooms, semi-enclosed spaces as well as in noise control. It is also invaluable for students and researchers wanting a grounding in acoustic treatment, as well as understanding the latest developments. All chapters have been revised and brought up to date in this new edition, with new applications, absorbers and diffusers featured. Sustainability, portable vocal booths, and fast time domain models for diffusers are just a few of the new sections. Improved techniques for measurement and prediction are included, as well as bringing old methods up-to-date with the latest refinements from standards and research. Most of the prediction methods in the book are now linked to open source implementations and downloadable MATLAB scripts, enabling readers to exploit the knowledge in this book more readily in design and research.

Author : Felix Wolf
Publisher : Springer Nature
Page : 139 pages
File Size : 52,8 Mb
Release : 2020-11-30
Category : Technology & Engineering
ISBN : 9783030619398

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Analysis and Implementation of Isogeometric Boundary Elements for Electromagnetism by Felix Wolf Pdf

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.

Author : X. W. Gao,A. H-D. Cheng,C. A. Brebbia
Publisher : WIT Press
Page : 569 pages
File Size : 47,8 Mb
Release : 2013-12-11
Category : Mathematics
ISBN : 9781845648411

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Boundary Elements and Other Mesh Reduction Methods XXXVI by X. W. Gao,A. H-D. Cheng,C. A. Brebbia Pdf

The Conference on Boundary Elements and Mesh Reduction Methods (BEM/MRM) is recognised as the international forum for the latest advances in these techniques and their applications in science and engineering. Launched in 1978 the Conference continues to attract original contributions and has become the forum for their rapid dissemination throughout the international scientific community. Practically all new boundary element ideas have first appeared in the proceedings of these meetings.

Author : O.P. Gupta
Publisher : Routledge
Page : 496 pages
File Size : 42,6 Mb
Release : 2022-03-23
Category : Technology & Engineering
ISBN : 9781351448642

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Finite and Boundary Element Methods in Engineering by O.P. Gupta Pdf

The interest in finite element method as a solution technique of the computer age is reflected in the availability of many general and special purpose software based on this technique. This work aims to provide a complete and detailed explanation of the basics of the application areas.

Author : P. A. Martin
Publisher : Cambridge University Press
Page : 265 pages
File Size : 51,6 Mb
Release : 2021-06-24
Category : Mathematics
ISBN : 9781108835596

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Time-Domain Scattering by P. A. Martin Pdf

The first thorough synthesis of methods for solving time-domain scattering problems, covering both theoretical and computational aspects.