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Error Criteria And Adaptive Refinement Techniques For Finite Element And Boundary Element Meshes
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Book Synopsis Error Criteria and Adaptive Refinement Techniques for Finite Element and Boundary Element Meshes by : Sivagnanasampanthar Jayakumaran
Download or read book Error Criteria and Adaptive Refinement Techniques for Finite Element and Boundary Element Meshes written by Sivagnanasampanthar Jayakumaran and published by . This book was released on 1988 with total page 354 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Error Estimation and Self-adaptive Mesh Refinement for Boundary Element Method by : Kwo-Yih Jong
Download or read book Error Estimation and Self-adaptive Mesh Refinement for Boundary Element Method written by Kwo-Yih Jong and published by . This book was released on 1989 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis A Posteriori Error Estimation Techniques for Finite Element Methods by : Rüdiger Verfürth
Download or read book A Posteriori Error Estimation Techniques for Finite Element Methods written by Rüdiger Verfürth and published by OUP Oxford. This book was released on 2013-04-18 with total page 573 pages. Available in PDF, EPUB and Kindle. Book excerpt: Self-adaptive discretization methods are now an indispensable tool for the numerical solution of partial differential equations that arise from physical and technical applications. The aim is to obtain a numerical solution within a prescribed tolerance using a minimal amount of work. The main tools in achieving this goal are a posteriori error estimates which give global and local information on the error of the numerical solution and which can easily be computed from the given numerical solution and the data of the differential equation. This book reviews the most frequently used a posteriori error estimation techniques and applies them to a broad class of linear and nonlinear elliptic and parabolic equations. Although there are various approaches to adaptivity and a posteriori error estimation, they are all based on a few common principles. The main aim of the book is to elaborate these basic principles and to give guidelines for developing adaptive schemes for new problems. Chapters 1 and 2 are quite elementary and present various error indicators and their use for mesh adaptation in the framework of a simple model problem. The basic principles are introduced using a minimal amount of notations and techniques providing a complete overview for the non-specialist. Chapters 4-6 on the other hand are more advanced and present a posteriori error estimates within a general framework using the technical tools collected in Chapter 3. Most sections close with a bibliographical remark which indicates the historical development and hints at further results.
Book Synopsis Accuracy Estimates and Adaptive Refinements in Finite Element Computations by : Ivo Babuška
Download or read book Accuracy Estimates and Adaptive Refinements in Finite Element Computations written by Ivo Babuška and published by John Wiley & Sons. This book was released on 1986 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains papers discussing the recent developments in adaptive methods and their applications, an area of finite elements methods applicable to the needs of civil engineering. Topics covered range from an exposition of basic theory and techniques to detailed discussions of specific applications. Adaptive approaches, and the computer assessment of the reliability of the results obtained are also examined.
Book Synopsis Adaptive Finite Element Methods for Differential Equations by : Wolfgang Bangerth
Download or read book Adaptive Finite Element Methods for Differential Equations written by Wolfgang Bangerth and published by Springer Science & Business Media. This book was released on 2003-01-23 with total page 222 pages. Available in PDF, EPUB and Kindle. Book excerpt: The key issues are a posteriori error estimation and it automatic mesh adaptation. Besides the traditional approach of energy-norm error control, a new duality-based technique, the Dual Weighted Residual method for goal-oriented error estimation, is discussed in detail. This method aims at economical computation of arbitrary quantities of physical interest by properly adapting the computational mesh. This is typically required in the design cycles of technical applications. For example, the drag coefficient of a body immersed in a viscous flow is computed, then it is minimized by varying certain control parameters, and finally the stability of the resulting flow is investigated by solving an eigenvalue problem. `Goal-oriented' adaptivity is designed to achieve these tasks with minimal cost. At the end of each chapter some exercises are posed in order to assist the interested reader in better understanding the concepts presented. Solutions and accompanying remarks are given in the Appendix.
Book Synopsis Error Indicators for Adaptive Mesh Refinement in the Boundary Element Method by : Massimo Guiggiani
Download or read book Error Indicators for Adaptive Mesh Refinement in the Boundary Element Method written by Massimo Guiggiani and published by . This book was released on 1989 with total page 50 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Boundary Elements and other Mesh Reduction Methods XLIV by : A. H.-D. Cheng
Download or read book Boundary Elements and other Mesh Reduction Methods XLIV written by A. H.-D. Cheng and published by WIT Press. This book was released on 2021-08-31 with total page 174 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis A New Criterion for the Adaptive Refinement of Finite Element Meshes by : Sittampalam Yoganathan
Download or read book A New Criterion for the Adaptive Refinement of Finite Element Meshes written by Sittampalam Yoganathan and published by . This book was released on 1986 with total page 138 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Thermal Stresses—Advanced Theory and Applications by : Richard B. Hetnarski
Download or read book Thermal Stresses—Advanced Theory and Applications written by Richard B. Hetnarski and published by Springer. This book was released on 2019-04-11 with total page 636 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is an advanced modern textbook on thermal stresses. It serves a wide range of readers, in particular, graduate and postgraduate students, scientists, researchers in various industrial and government institutes, and engineers working in mechanical, civil, and aerospace engineering. This volume covers diverse areas of applied mathematics, continuum mechanics, stress analysis, and mechanical design. This work treats a number of topics not presented in other books on thermal stresses, for example: theory of coupled and generalized thermoelasticity, finite and boundary element method in generalized thermoelasticity, thermal stresses in functionally graded structures, and thermal expansions of piping systems. The book starts from basic concepts and principles, and these are developed to more advanced levels as the text progresses. Nevertheless, some basic knowledge on the part of the reader is expected in classical mechanics, stress analysis, and mathematics, including vector and cartesian tensor analysis. This 2nd enhanced edition includes a new chapter on Thermally Induced Vibrations. The method of stiffness is added to Chapter 7. The variational principle for the Green-Lindsay and Green-Naghdi models have been added to Chapter 2 and equations of motion and compatibility equations in spherical coordinates to Chapter 3. Additional problems at the end of chapters were added.
Book Synopsis BEM-based Finite Element Approaches on Polytopal Meshes by : Steffen Weißer
Download or read book BEM-based Finite Element Approaches on Polytopal Meshes written by Steffen Weißer and published by Springer. This book was released on 2019-07-18 with total page 246 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis A Review of A Posteriori Error Estimation and Adaptive Mesh-Refinement Techniques by : Rüdiger Verführt
Download or read book A Review of A Posteriori Error Estimation and Adaptive Mesh-Refinement Techniques written by Rüdiger Verführt and published by Springer. This book was released on 1996-07 with total page 146 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Scrapbook of Photographs, Newspaper Clippings, and Programs Concerning U.S.S. Mason and Her Crew, 1943-45 by :
Download or read book Scrapbook of Photographs, Newspaper Clippings, and Programs Concerning U.S.S. Mason and Her Crew, 1943-45 written by and published by . This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Proceedings of the ... International Conference on Finite Element Methods in Flow Problems by :
Download or read book Proceedings of the ... International Conference on Finite Element Methods in Flow Problems written by and published by . This book was released on 1989 with total page 1624 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Boundary Elements and other Mesh Reduction Methods XLII by : Cheng, A. H-D
Download or read book Boundary Elements and other Mesh Reduction Methods XLII written by Cheng, A. H-D and published by WIT Press. This book was released on 2019-09-13 with total page 313 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis The Scaled Boundary Finite Element Method by : Chongmin Song
Download or read book The Scaled Boundary Finite Element Method written by Chongmin Song and published by John Wiley & Sons. This book was released on 2018-06-19 with total page 775 pages. Available in PDF, EPUB and Kindle. Book excerpt: An informative look at the theory, computer implementation, and application of the scaled boundary finite element method This reliable resource, complete with MATLAB, is an easy-to-understand introduction to the fundamental principles of the scaled boundary finite element method. It establishes the theory of the scaled boundary finite element method systematically as a general numerical procedure, providing the reader with a sound knowledge to expand the applications of this method to a broader scope. The book also presents the applications of the scaled boundary finite element to illustrate its salient features and potentials. The Scaled Boundary Finite Element Method: Introduction to Theory and Implementation covers the static and dynamic stress analysis of solids in two and three dimensions. The relevant concepts, theory and modelling issues of the scaled boundary finite element method are discussed and the unique features of the method are highlighted. The applications in computational fracture mechanics are detailed with numerical examples. A unified mesh generation procedure based on quadtree/octree algorithm is described. It also presents examples of fully automatic stress analysis of geometric models in NURBS, STL and digital images. Written in lucid and easy to understand language by the co-inventor of the scaled boundary element method Provides MATLAB as an integral part of the book with the code cross-referenced in the text and the use of the code illustrated by examples Presents new developments in the scaled boundary finite element method with illustrative examples so that readers can appreciate the significant features and potentials of this novel method—especially in emerging technologies such as 3D printing, virtual reality, and digital image-based analysis The Scaled Boundary Finite Element Method: Introduction to Theory and Implementation is an ideal book for researchers, software developers, numerical analysts, and postgraduate students in many fields of engineering and science.
Book Synopsis Adaptive Meshing with Boundary Elements by : José Carlos Miranda-Valenzuela
Download or read book Adaptive Meshing with Boundary Elements written by José Carlos Miranda-Valenzuela and published by Computational Mechanics. This book was released on 2002 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: This title is devoted to the formulation and implementation of new reliable and efficient error indicators capable of providing adaptive meshing processes in the Boundary Element Method (BEM). It is organised in four sections. The first gives a review of the basic equations of solid mechanics, while the second presents the boundary integral equations required to formulate conventional and higher order boundary elements. The third section focuses on the computation of the stresses on the boundary and provides an attractive alternative global re-analysis technique which can be used to obtain accurate values for those quantities. In the final section the authors review some of the most relevant error indicators that have been proposed and present two new alternatives that can be used to estimate the error in the numerical solution obtained with the BEM.The self-contained treatment of topics and the new alternatives proposed to compute reliable and efficient error indicators make this text a valuable reference for readers interested in learning about adaptive meshing techniques, as well as for researchers working in the field.
