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Advanced Finite Element Methods with Applications

2019-06-28 Mathematics
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Release : 2019-06-28
Genre : Mathematics
Kind : eBook
Book Rating : 442/5 ( reviews)

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Book Synopsis Advanced Finite Element Methods with Applications by : Thomas Apel

Download or read book Advanced Finite Element Methods with Applications written by Thomas Apel. This book was released on 2019-06-28. Available in PDF, EPUB and Kindle. Book excerpt: Finite element methods are the most popular methods for solving partial differential equations numerically, and despite having a history of more than 50 years, there is still active research on their analysis, application and extension. This book features overview papers and original research articles from participants of the 30th Chemnitz Finite Element Symposium, which itself has a 40-year history. Covering topics including numerical methods for equations with fractional partial derivatives; isogeometric analysis and other novel discretization methods, like space-time finite elements and boundary elements; analysis of a posteriori error estimates and adaptive methods; enhancement of efficient solvers of the resulting systems of equations, discretization methods for partial differential equations on surfaces; and methods adapted to applications in solid and fluid mechanics, it offers readers insights into the latest results.

Advanced Finite Element Method in Structural Engineering

2009-09-29 Technology & Engineering
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Release : 2009-09-29
Genre : Technology & Engineering
Kind : eBook
Book Rating : 168/5 ( reviews)

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Book Synopsis Advanced Finite Element Method in Structural Engineering by : Yu-Qiu Long

Download or read book Advanced Finite Element Method in Structural Engineering written by Yu-Qiu Long. This book was released on 2009-09-29. Available in PDF, EPUB and Kindle. Book excerpt: Advanced Finite Element Method in Structural Engineering systematically introduces the research work on the Finite Element Method (FEM), which was completed by Prof. Yu-qiu Long and his research group in the past 25 years. Seven original theoretical achievements - for instance, the Generalized Conforming Element method, to name one - and their applications in the fields of structural engineering and computational mechanics are discussed in detail. The book also shows the new strategies for avoiding five difficulties that exist in traditional FEM (shear-locking problem of thick plate elements; sensitivity problem to mesh distortion; non-convergence problem of non-conforming elements; accuracy loss problem of stress solutions by displacement-based elements; stress singular point problem) by utilizing foregoing achievements.

Advanced Finite Element Technologies

2016-05-19 Mathematics
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Release : 2016-05-19
Genre : Mathematics
Kind : eBook
Book Rating : 256/5 ( reviews)

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Book Synopsis Advanced Finite Element Technologies by : Jörg Schröder

Download or read book Advanced Finite Element Technologies written by Jörg Schröder. This book was released on 2016-05-19. Available in PDF, EPUB and Kindle. Book excerpt: The book presents an overview of the state of research of advanced finite element technologies. Besides the mathematical analysis, the finite element development and their engineering applications are shown to the reader. The authors give a survey of the methods and technologies concerning efficiency, robustness and performance aspects. The book covers the topics of mathematical foundations for variational approaches and the mathematical understanding of the analytical requirements of modern finite element methods. Special attention is paid to finite deformations, adaptive strategies, incompressible, isotropic or anisotropic material behavior and the mathematical and numerical treatment of the well-known locking phenomenon. Beyond that new results for the introduced approaches are presented especially for challenging nonlinear problems.

The Finite Element Method and Applications in Engineering Using ANSYS®

2015-02-10 Technology & Engineering
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Release : 2015-02-10
Genre : Technology & Engineering
Kind : eBook
Book Rating : 500/5 ( reviews)

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Book Synopsis The Finite Element Method and Applications in Engineering Using ANSYS® by : Erdogan Madenci

Download or read book The Finite Element Method and Applications in Engineering Using ANSYS® written by Erdogan Madenci. This book was released on 2015-02-10. Available in PDF, EPUB and Kindle. Book excerpt: This textbook offers theoretical and practical knowledge of the finite element method. The book equips readers with the skills required to analyze engineering problems using ANSYS®, a commercially available FEA program. Revised and updated, this new edition presents the most current ANSYS® commands and ANSYS® screen shots, as well as modeling steps for each example problem. This self-contained, introductory text minimizes the need for additional reference material by covering both the fundamental topics in finite element methods and advanced topics concerning modeling and analysis. It focuses on the use of ANSYS® through both the Graphics User Interface (GUI) and the ANSYS® Parametric Design Language (APDL). Extensive examples from a range of engineering disciplines are presented in a straightforward, step-by-step fashion. Key topics include: • An introduction to FEM • Fundamentals and analysis capabilities of ANSYS® • Fundamentals of discretization and approximation functions • Modeling techniques and mesh generation in ANSYS® • Weighted residuals and minimum potential energy • Development of macro files • Linear structural analysis • Heat transfer and moisture diffusion • Nonlinear structural problems • Advanced subjects such as submodeling, substructuring, interaction with external files, and modification of ANSYS®-GUI Electronic supplementary material for using ANSYS® can be found at http://link.springer.com/book/10.1007/978-1-4899-7550-8. This convenient online feature, which includes color figures, screen shots and input files for sample problems, allows for regeneration on the reader’s own computer. Students, researchers, and practitioners alike will find this an essential guide to predicting and simulating the physical behavior of complex engineering systems."

Advanced Finite Element Methods and Applications

2012-07-16 Technology & Engineering
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Release : 2012-07-16
Genre : Technology & Engineering
Kind : eBook
Book Rating : 161/5 ( reviews)

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Book Synopsis Advanced Finite Element Methods and Applications by : Thomas Apel

Download or read book Advanced Finite Element Methods and Applications written by Thomas Apel. This book was released on 2012-07-16. Available in PDF, EPUB and Kindle. Book excerpt: This volume on some recent aspects of finite element methods and their applications is dedicated to Ulrich Langer and Arnd Meyer on the occasion of their 60th birthdays in 2012. Their work combines the numerical analysis of finite element algorithms, their efficient implementation on state of the art hardware architectures, and the collaboration with engineers and practitioners. In this spirit, this volume contains contributions of former students and collaborators indicating the broad range of their interests in the theory and application of finite element methods. Topics cover the analysis of domain decomposition and multilevel methods, including hp finite elements, hybrid discontinuous Galerkin methods, and the coupling of finite and boundary element methods; the efficient solution of eigenvalue problems related to partial differential equations with applications in electrical engineering and optics; and the solution of direct and inverse field problems in solid mechanics.

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