Finite Element Methods and Their Applications

Finite Element Methods and Their Applications
Author: Zhangxin Chen
Publisher: Springer Science & Business Media
Total Pages: 415
Release: 2005-10-14
Genre: Science
ISBN: 3540280782

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Introduce every concept in the simplest setting and to maintain a level of treatment that is as rigorous as possible without being unnecessarily abstract. Contains unique recent developments of various finite elements such as nonconforming, mixed, discontinuous, characteristic, and adaptive finite elements, along with their applications. Describes unique recent applications of finite element methods to important fields such as multiphase flows in porous media and semiconductor modelling. Treats the three major types of partial differential equations, i.e., elliptic, parabolic, and hyperbolic equations.

Finite Element Method

Finite Element Method
Author: O. C. Zienkiewicz
Publisher:
Total Pages:
Release: 2009
Genre:
ISBN:

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Finite Element Method with Applications in Engineering:

Finite Element Method with Applications in Engineering:
Author: Y. M. Desai
Publisher: Pearson Education India
Total Pages: 489
Release: 2011
Genre:
ISBN: 9332500835

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The book explains the finite element method with various engineering applications to help students, teachers, engineers and researchers. It explains mathematical modeling of engineering problems and approximate methods of analysis and different approaches

Finite Element Analysis

Finite Element Analysis
Author: Barna Szabó
Publisher: John Wiley & Sons
Total Pages: 386
Release: 2021-06-22
Genre: Technology & Engineering
ISBN: 1119426421

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Finite Element Analysis An updated and comprehensive review of the theoretical foundation of the finite element method The revised and updated second edition of Finite Element Analysis: Method, Verification, and Validation offers a comprehensive review of the theoretical foundations of the finite element method and highlights the fundamentals of solution verification, validation, and uncertainty quantification. Written by noted experts on the topic, the book covers the theoretical fundamentals as well as the algorithmic structure of the finite element method. The text contains numerous examples and helpful exercises that clearly illustrate the techniques and procedures needed for accurate estimation of the quantities of interest. In addition, the authors describe the technical requirements for the formulation and application of design rules. Designed as an accessible resource, the book has a companion website that contains a solutions manual, PowerPoint slides for instructors, and a link to finite element software. This important text: Offers a comprehensive review of the theoretical foundations of the finite element method Puts the focus on the fundamentals of solution verification, validation, and uncertainty quantification Presents the techniques and procedures of quality assurance in numerical solutions of mathematical problems Contains numerous examples and exercises Written for students in mechanical and civil engineering, analysts seeking professional certification, and applied mathematicians, Finite Element Analysis: Method, Verification, and Validation, Second Edition includes the tools, concepts, techniques, and procedures that help with an understanding of finite element analysis.

The Finite Element Method

The Finite Element Method
Author: Zhangxin Chen
Publisher: World Scientific
Total Pages: 349
Release: 2011
Genre: Technology & Engineering
ISBN: 9814350567

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A fundamental and practical introduction to the finite element method, its variants, and their applications in engineering.

Engineering Computation of Structures: The Finite Element Method

Engineering Computation of Structures: The Finite Element Method
Author: Maria Augusta Neto
Publisher: Springer
Total Pages: 325
Release: 2015-09-29
Genre: Technology & Engineering
ISBN: 3319177109

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This book presents theories and the main useful techniques of the Finite Element Method (FEM), with an introduction to FEM and many case studies of its use in engineering practice. It supports engineers and students to solve primarily linear problems in mechanical engineering, with a main focus on static and dynamic structural problems. Readers of this text are encouraged to discover the proper relationship between theory and practice, within the finite element method: Practice without theory is blind, but theory without practice is sterile. Beginning with elasticity basic concepts and the classical theories of stressed materials, the work goes on to apply the relationship between forces, displacements, stresses and strains on the process of modeling, simulating and designing engineered technical systems. Chapters discuss the finite element equations for static, eigenvalue analysis, as well as transient analyses. Students and practitioners using commercial FEM software will find this book very helpful. It uses straightforward examples to demonstrate a complete and detailed finite element procedure, emphasizing the differences between exact and numerical procedures.

The Finite Element Method in Engineering

The Finite Element Method in Engineering
Author: Singiresu S. Rao
Publisher: Butterworth-Heinemann
Total Pages: 686
Release: 2005
Genre: Mathematics
ISBN: 0750678283

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With the revolution in readily available computing power, the finite element method has become one of the most important tools for the modern engineer. This book offers a comprehensive introduction to the principles involved.

The Finite Element Method

The Finite Element Method
Author: Patrick Ciarlet
Publisher: John Wiley & Sons
Total Pages: 404
Release: 2023-08-29
Genre: Mathematics
ISBN: 1786307685

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The finite element method, which emerged in the 1950s to deal with structural mechanics problems, has since undergone continuous development. Using partial differential equation models, it is now present in such fields of application as mechanics, physics, chemistry, economics, finance and biology. It is also used in most scientific computing software, and many engineers become adept at using it in their modeling and numerical simulation activities. This book presents all the essential elements of the finite element method in a progressive and didactic way: the theoretical foundations, practical considerations of implementation, algorithms, as well as numerical illustrations created in MATLAB. Original exercises with detailed answers are provided at the end of each chapter.

The Finite Element Method in Engineering

The Finite Element Method in Engineering
Author: Singiresu S. Rao
Publisher: Butterworth-Heinemann
Total Pages: 784
Release: 2017-10-31
Genre: Technology & Engineering
ISBN: 0128143649

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The Finite Element Method in Engineering, Sixth Edition, provides a thorough grounding in the mathematical principles behind the Finite Element Analysis technique—an analytical engineering tool originated in the 1960's by the aerospace and nuclear power industries to find usable, approximate solutions to problems with many complex variables. Rao shows how to set up finite element solutions in civil, mechanical and aerospace engineering applications. The new edition features updated real-world examples from MATLAB, Ansys and Abaqus, and a new chapter on additional FEM topics including extended FEM (X-FEM). Professional engineers will benefit from the introduction to the many useful applications of finite element analysis. Includes revised and updated chapters on MATLAB, Ansys and Abaqus Offers a new chapter, Additional Topics in Finite Element Method Includes discussion of practical considerations, errors and pitfalls in FEM singularity elements Features a brief presentation of recent developments in FEM including extended FEM (X-FEM), augmented FEM (A-FEM) and partition of unity FEM (POUFEM) Features improved pedagogy, including the addition of more design-oriented and practical examples and problems Covers real-life applications, sample review questions at the end of most chapters, and updated references

Understanding and Implementing the Finite Element Method

Understanding and Implementing the Finite Element Method
Author: Mark S. Gockenbach
Publisher: SIAM
Total Pages: 363
Release: 2006-01-01
Genre: Mathematics
ISBN: 0898717841

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Understanding and Implementing the Finite Element Method Mark S. Gockenbach "Upon completion of this book a student or researcher would be well prepared to employ finite elements for an application problem or proceed to the cutting edge of research in finite element methods. The accuracy and the thoroughness of the book are excellent." --Anthony Kearsley, research mathematician, National Institute of Standards and Technology The infinite element method is the most powerful general-purpose technique for computing accurate solutions to partial differential equations. Understanding and Implementing the Finite Element Method is essential reading for those interested in understanding both the theory and the implementation of the finite element method for equilibrium problems. This book contains a thorough derivation of the finite element equations as well as sections on programming the necessary calculations, solving the finite element equations, and using a posteriori error estimates to produce validated solutions. Accessible introductions to advanced topics, such as multigrid solvers, the hierarchical basis conjugate gradient method, and adaptive mesh generation, are provided. Each chapter ends with exercises to help readers master these topics.