Advances In Adaptive Computational Methods In Mechanics

Author : P. Ladeveze,J.T. Oden
Publisher : Elsevier
Page : 539 pages
File Size : 53,9 Mb
Release : 1998-06-23
Category : Computers
ISBN : 9780080525938

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Advances in Adaptive Computational Methods in Mechanics by P. Ladeveze,J.T. Oden Pdf

Mastering modelling, and in particular numerical models, is becoming a crucial and central question in modern computational mechanics. Various tools, able to quantify the quality of a model with regard to another one taken as the reference, have been derived. Applied to computational strategies, these tools lead to new computational methods which are called "adaptive". The present book is concerned with outlining the state of the art and the latest advances in both these important areas. Papers are selected from a Workshop (Cachan 17-19 September 1997) which is the third of a series devoted to Error Estimators and Adaptivity in Computational Mechanics. The Cachan Workshop dealt with latest advances in adaptive computational methods in mechanics and their impacts on solving engineering problems. It was centered too on providing answers to simple questions such as: what is being used or can be used at present to solve engineering problems? What should be the state of art in the year 2000? What are the new questions involving error estimators and their applications?

Author : Johannes Kraus,Ulrich Langer
Publisher : Walter de Gruyter
Page : 241 pages
File Size : 47,9 Mb
Release : 2011-12-22
Category : Mathematics
ISBN : 9783110927092

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Lectures on Advanced Computational Methods in Mechanics by Johannes Kraus,Ulrich Langer Pdf

This book contains four survey papers related to different topics in computational mechanics, in particular (1) novel discretization and solver techniques in mechanics and (2) inverse, control, and optimization problems in mechanics. These topics were considered in lectures, seminars, tutorials, and workshops at the Special Semester on Computational Mechanics held at the Johann Radon Institute for Computational and Applied Mathematics (RICAM), Linz, Austria, in December 2005.

Author : Erwin Stein
Publisher : Springer Science & Business Media
Page : 368 pages
File Size : 53,8 Mb
Release : 2007-04-02
Category : Technology & Engineering
ISBN : 9783211380604

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Adaptive Finite Elements in Linear and Nonlinear Solid and Structural Mechanics by Erwin Stein Pdf

This course with 6 lecturers intends to present a systematic survey of recent re search results of well-known scientists on error-controlled adaptive finite element methods in solid and structural mechanics with emphasis to problem-dependent concepts for adaptivity, error analysis as well as h- and p-adaptive refinement techniques including meshing and remeshing. Challenging applications are of equal importance, including elastic and elastoplastic deformations of solids, con tact problems and thin-walled structures. Some major topics should be pointed out, namely: (i) The growing importance of goal-oriented and local error estimates for quan tities of interest—in comparison with global error estimates—based on dual finite element solutions; (a) The importance of the p-version of the finite element method in conjunction with parameter-dependent hierarchical approximations of the mathematical model, for example in boundary layers of elastic plates; (Hi) The choice of problem-oriented error measures in suitable norms, consider ing residual, averaging and hierarchical error estimates in conjunction with the efficiency of the associated adaptive computations; (iv) The importance of implicit local postprocessing with enhanced test spaces in order to get constant-free, i. e. absolute-not only relative-discretizati- error estimates; (v) The coupling of error-controlled adaptive discretizations and the mathemat ical modeling in related subdomains, such as boundary layers. The main goals of adaptivity are reliability and efficiency, combined with in sight and access to controls which are independent of the applied discretization methods. By these efforts, new paradigms in Computational Mechanics should be realized, namely verifications and even validations of engineering models.

Author : National Research Council,Division on Engineering and Physical Sciences,Board on Manufacturing and Engineering Design,Commission on Engineering and Technical Systems,U.S. National Committee on Theoretical and Applied Mechanics
Publisher : National Academies Press
Page : 145 pages
File Size : 51,7 Mb
Release : 1991-02-01
Category : Technology & Engineering
ISBN : 9780309046480

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Research Directions in Computational Mechanics by National Research Council,Division on Engineering and Physical Sciences,Board on Manufacturing and Engineering Design,Commission on Engineering and Technical Systems,U.S. National Committee on Theoretical and Applied Mechanics Pdf

Computational mechanics is a scientific discipline that marries physics, computers, and mathematics to emulate natural physical phenomena. It is a technology that allows scientists to study and predict the performance of various productsâ€"important for research and development in the industrialized world. This book describes current trends and future research directions in computational mechanics in areas where gaps exist in current knowledge and where major advances are crucial to continued technological developments in the United States.

Author : Timothy J. Barth,Herman Deconinck
Publisher : Springer Science & Business Media
Page : 354 pages
File Size : 47,6 Mb
Release : 2013-04-17
Category : Mathematics
ISBN : 9783662051894

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Error Estimation and Adaptive Discretization Methods in Computational Fluid Dynamics by Timothy J. Barth,Herman Deconinck Pdf

As computational fluid dynamics (CFD) is applied to ever more demanding fluid flow problems, the ability to compute numerical fluid flow solutions to a user specified tolerance as well as the ability to quantify the accuracy of an existing numerical solution are seen as essential ingredients in robust numerical simulation. Although the task of accurate error estimation for the nonlinear equations of CFD seems a daunting problem, considerable effort has centered on this challenge in recent years with notable progress being made by the use of advanced error estimation techniques and adaptive discretization methods. To address this important topic, a special course wasjointly organized by the NATO Research and Technology Office (RTO), the von Karman Insti tute for Fluid Dynamics, and the NASA Ames Research Center. The NATO RTO sponsored course entitled "Error Estimation and Solution Adaptive Discretization in CFD" was held September 10-14, 2002 at the NASA Ames Research Center and October 15-19, 2002 at the von Karman Institute in Belgium. During the special course, a series of comprehensive lectures by leading experts discussed recent advances and technical progress in the area of numerical error estimation and adaptive discretization methods with spe cific emphasis on computational fluid dynamics. The lecture notes provided in this volume are derived from the special course material. The volume con sists of 6 articles prepared by the special course lecturers.

Author : Tarek I. Zohdi,Peter Wriggers
Publisher : Springer Science & Business Media
Page : 199 pages
File Size : 44,9 Mb
Release : 2008-03-15
Category : Science
ISBN : 9783540323600

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An Introduction to Computational Micromechanics by Tarek I. Zohdi,Peter Wriggers Pdf

In this, its second corrected printing, Zohdi and Wriggers’ illuminating text presents a comprehensive introduction to the subject. The authors include in their scope basic homogenization theory, microstructural optimization and multifield analysis of heterogeneous materials. This volume is ideal for researchers and engineers, and can be used in a first-year course for graduate students with an interest in the computational micromechanical analysis of new materials.

Author : Tomasz Lodygowski,Jerzy Rakowski,Przemyslaw Litewka
Publisher : CRC Press
Page : 400 pages
File Size : 46,7 Mb
Release : 2014-02-04
Category : Computers
ISBN : 9781315775487

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Recent Advances in Computational Mechanics by Tomasz Lodygowski,Jerzy Rakowski,Przemyslaw Litewka Pdf

Recent Advances in Computational Mechanics contains selected papers presented at the jubilee 20th Conference on Computer Methods in Mechanics (CMM 2013), which took place from 27 to 31 August 2013 at the Poznan University of Technology. The first Polish Conference on Computer Methods in Mechanics was held in Poznan in 1973. This very successful me

Author : Zhenhan Yao,M. W. Yuan,Wanxie Zhong
Publisher : 清华大学出版社有限公司
Page : 608 pages
File Size : 52,7 Mb
Release : 2004
Category : Engineering design
ISBN : 7302093423

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Computational Mechanics by Zhenhan Yao,M. W. Yuan,Wanxie Zhong Pdf

Author : J. P. Moitinho de Almeida,Edward A. Maunder
Publisher : John Wiley & Sons
Page : 315 pages
File Size : 42,9 Mb
Release : 2017-03-20
Category : Technology & Engineering
ISBN : 9781118424155

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Equilibrium Finite Element Formulations by J. P. Moitinho de Almeida,Edward A. Maunder Pdf

A comprehensive treatment of the theory and practice of equilibrium finite element analysis in the context of solid and structural mechanics Equilibrium Finite Element Formulations is an up to date exposition on hybrid equilibrium finite elements, which are based on the direct approximation of the stress fields. The focus is on their derivation and on the advantages that strong forms of equilibrium can have, either when used independently or together with the more conventional displacement based elements. These elements solve two important problems of concern to computational structural mechanics: a rational basis for error estimation, which leads to bounds on quantities of interest that are vital for verification of the output and provision of outputs immediately useful to the engineer for structural design and assessment. Key features: Unique in its coverage of equilibrium – an essential reference work for those seeking solutions that are strongly equilibrated. The approach is not widely known, and should be of benefit to structural design and assessment. Thorough explanations of the formulations for: 2D and 3D continua, thick and thin bending of plates and potential problems; covering mainly linear aspects of behaviour, but also with some excursions into non-linearity. Highly relevant to the verification of numerical solutions, the basis for obtaining bounds of the errors is explained in detail. Simple illustrative examples are given, together with their physical interpretations. The most relevant issues regarding the computational implementation of this approach are presented. When strong equilibrium and finite elements are to be combined, the book is a must-have reference for postgraduate students, researchers in software development or numerical analysis, and industrial practitioners who want to keep up to date with progress in simulation tools.

Author : Francisco Chinesta,Serge Cescotto,Elias Cueto,Philippe Lorong
Publisher : John Wiley & Sons
Page : 195 pages
File Size : 44,6 Mb
Release : 2013-03-04
Category : Mathematics
ISBN : 9781118616925

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Natural Element Method for the Simulation of Structures and Processes by Francisco Chinesta,Serge Cescotto,Elias Cueto,Philippe Lorong Pdf

Computational mechanics is the discipline concerned with the use of computational methods to study phenomena governed by the principles of mechanics. Before the emergence of computational science (also called scientific computing) as a "third way" besides theoretical and experimental sciences, computational mechanics was widely considered to be a sub-discipline of applied mechanics. It is now considered to be a sub-discipline within computational science. This book presents a recent state of the art on the foundations and applications of the meshless natural element method in computational mechanics, including structural mechanics and material forming processes involving solids and Newtonian and non-Newtonian fluids.

Author : Pekka Neittaanmäki,Sergey R. Repin
Publisher : Elsevier
Page : 317 pages
File Size : 47,6 Mb
Release : 2004-09-04
Category : Computers
ISBN : 9780080540504

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Reliable Methods for Computer Simulation by Pekka Neittaanmäki,Sergey R. Repin Pdf

Recent decades have seen a very rapid success in developing numerical methods based on explicit control over approximation errors. It may be said that nowadays a new direction is forming in numerical analysis, the main goal of which is to develop methods ofreliable computations. In general, a reliable numerical method must solve two basic problems: (a) generate a sequence of approximations that converges to a solution and (b) verify the accuracy of these approximations. A computer code for such a method must consist of two respective blocks: solver and checker. In this book, we are chiefly concerned with the problem (b) and try to present the main approaches developed for a posteriori error estimation in various problems. The authors try to retain a rigorous mathematical style, however, proofs are constructive whenever possible and additional mathematical knowledge is presented when necessary. The book contains a number of new mathematical results and lists a posteriori error estimation methods that have been developed in the very recent time. · computable bounds of approximation errors · checking algorithms · iteration processes · finite element methods · elliptic type problems · nonlinear variational problems · variational inequalities

Author : Ludovic Chamoin,Pedro Díez
Publisher : Springer
Page : 94 pages
File Size : 50,5 Mb
Release : 2015-08-05
Category : Technology & Engineering
ISBN : 9783319205533

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Verifying Calculations - Forty Years On by Ludovic Chamoin,Pedro Díez Pdf

This work provides an overview of a posteriori error assessment techniques for Finite Element (FE) based numerical models. These tools aim at estimating and controlling the discretization error in scientific computational models, being the basis for the numerical verification of the FE solutions. The text discusses the capabilities and limitations of classical methods to build error estimates which can be used to control the quality of numerical simulations and drive adaptive algorithms, with a focus on Computational Mechanics engineering applications. Fundamentals principles of residual methods, smoothing (recovery) methods, and constitutive relation error (duality based) methods are thus addressed along the manuscript. Attention is paid to recent advances and forthcoming research challenges on related topics. The book constitutes a useful guide for students, researchers, or engineers wishing to acquire insights into state-of-the-art techniques for numerical verification.

Author : Lakhmi C. Jain,Margarita N. Favorskaya,Ilia S. Nikitin,Dmitry L. Reviznikov
Publisher : Springer Nature
Page : 386 pages
File Size : 42,5 Mb
Release : 2020-03-31
Category : Technology & Engineering
ISBN : 9789811526008

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Advances in Theory and Practice of Computational Mechanics by Lakhmi C. Jain,Margarita N. Favorskaya,Ilia S. Nikitin,Dmitry L. Reviznikov Pdf

This book discusses physical and mathematical models, numerical methods, computational algorithms and software complexes, which allow high-precision mathematical modeling in fluid, gas, and plasma mechanics; general mechanics; deformable solid mechanics; and strength, destruction and safety of structures. These proceedings focus on smart technologies and software systems that provide effective solutions to real-world problems in applied mechanics at various multi-scale levels. Highlighting the training of specialists for the aviation and space industry, it is a valuable resource for experts in the field of applied mathematics and mechanics, mathematical modeling and information technologies, as well as developers of smart applied software systems.

Author : Steffen Weißer
Publisher : Springer
Page : 246 pages
File Size : 55,5 Mb
Release : 2019-07-18
Category : Computers
ISBN : 9783030209612

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BEM-based Finite Element Approaches on Polytopal Meshes by Steffen Weißer Pdf

This book introduces readers to one of the first methods developed for the numerical treatment of boundary value problems on polygonal and polyhedral meshes, which it subsequently analyzes and applies in various scenarios. The BEM-based finite element approaches employs implicitly defined trial functions, which are treated locally by means of boundary integral equations. A detailed construction of high-order approximation spaces is discussed and applied to uniform, adaptive and anisotropic polytopal meshes. The main benefits of these general discretizations are the flexible handling they offer for meshes, and their natural incorporation of hanging nodes. This can especially be seen in adaptive finite element strategies and when anisotropic meshes are used. Moreover, this approach allows for problem-adapted approximation spaces as presented for convection-dominated diffusion equations. All theoretical results and considerations discussed in the book are verified and illustrated by several numerical examples and experiments. Given its scope, the book will be of interest to mathematicians in the field of boundary value problems, engineers with a (mathematical) background in finite element methods, and advanced graduate students.

Author : Hua Li,Khin-Yong Lam,Teng -Yong Ng
Publisher : Elsevier
Page : 284 pages
File Size : 41,7 Mb
Release : 2005-01-19
Category : Technology & Engineering
ISBN : 0080455697

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Rotating Shell Dynamics by Hua Li,Khin-Yong Lam,Teng -Yong Ng Pdf

There are numerous engineering applications for high-speed rotating structures which rotate about their symmetric axes. For example, free-flight sub-munition projectiles rotate at high speeds in order to achieve an aerodynamically-stable flight. This is the first book of its kind to provide a comprehensive and systematic description of rotating shell dynamics. It not only provides the basic derivation of the dynamic governing equations for rotating shells, but documents benchmark results for free vibration, critical speed and parametric resonance. It is written in a simple and clear manner making it accessible both the expert and graduate student. The first monograph to provide a detailed description of rotating shell dynamics Dynamic problems such as free vibration and dynamic stability are examined in detail, for basic shells of revolutions