Mixed Finite Element Technologies

Author : Peter Wriggers,Carsten Carstensen
Publisher : Springer Science & Business Media
Page : 211 pages
File Size : 54,9 Mb
Release : 2009-06-16
Category : Technology & Engineering
ISBN : 9783211990940

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Mixed Finite Element Technologies by Peter Wriggers,Carsten Carstensen Pdf

Mixed finite element methods are a tool to solve complex engineering problems of different nature. This subject is treated in the volume from the engineering and the mathematical point. Different applications are considered which depict the value of mixed formulations in engineering on one side. On the other side the mathematical background is provided including proofs of convergence and stability of these methods and adequate solvers for mixed problems are discussed. This broad spectrum yields an indepth treatment of mixed methods from different perspectives.

Author : Jörg Schröder,Peter Wriggers
Publisher : Springer
Page : 236 pages
File Size : 42,9 Mb
Release : 2016-05-19
Category : Mathematics
ISBN : 9783319319254

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Advanced Finite Element Technologies by Jörg Schröder,Peter Wriggers Pdf

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.

Author : Jörg Schröder,Paulo de Mattos Pimenta
Publisher : Springer Nature
Page : 202 pages
File Size : 48,6 Mb
Release : 2019-11-26
Category : Mathematics
ISBN : 9783030335205

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Novel Finite Element Technologies for Solids and Structures by Jörg Schröder,Paulo de Mattos Pimenta Pdf

This book presents new ideas in the framework of novel, finite element discretization schemes for solids and structure, focusing on the mechanical as well as the mathematical background. It also explores the implementation and automation aspects of these technologies. Furthermore, the authors highlight recent developments in mixed finite element formulations in solid mechanics as well as novel techniques for flexible structures at finite deformations. The book also describes automation processes and the application of automatic differentiation technique, including characteristic problems, automatic code generation and code optimization. The combination of these approaches leads to highly efficient numerical codes, which are fundamental for reliable simulations of complicated engineering problems. These techniques are used in a wide range of applications from elasticity, viscoelasticity, plasticity, and viscoplasticity in classical engineering disciplines, such as civil and mechanical engineering, as well as in modern branches like biomechanics and multiphysics.

Author : Anonim
Publisher : Unknown
Page : 202 pages
File Size : 42,7 Mb
Release : 2020
Category : Finite element method
ISBN : 3030335216

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Novel Finite Element Technologies for Solids and Structures by Anonim Pdf

This book presents new ideas in the framework of novel, finite element discretization schemes for solids and structure, focusing on the mechanical as well as the mathematical background. It also explores the implementation and automation aspects of these technologies. Furthermore, the authors highlight recent developments in mixed finite element formulations in solid mechanics as well as novel techniques for flexible structures at finite deformations. The book also describes automation processes and the application of automatic differentiation technique, including characteristic problems, automatic code generation and code optimization. The combination of these approaches leads to highly efficient numerical codes, which are fundamental for reliable simulations of complicated engineering problems. These techniques are used in a wide range of applications from elasticity, viscoelasticity, plasticity, and viscoplasticity in classical engineering disciplines, such as civil and mechanical engineering, as well as in modern branches like biomechanics and multiphysics.

Author : Daniele Boffi,Franco Brezzi,Leszek F. Demkowicz,Ricardo G. Durán,Richard S. Falk,Michel Fortin
Publisher : Springer Science & Business Media
Page : 253 pages
File Size : 51,8 Mb
Release : 2008-04-14
Category : Mathematics
ISBN : 9783540783145

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Mixed Finite Elements, Compatibility Conditions, and Applications by Daniele Boffi,Franco Brezzi,Leszek F. Demkowicz,Ricardo G. Durán,Richard S. Falk,Michel Fortin Pdf

Since the early 70's, mixed finite elements have been the object of a wide and deep study by the mathematical and engineering communities. The fundamental role of this method for many application fields has been worldwide recognized and its use has been introduced in several commercial codes. An important feature of mixed finite elements is the interplay between theory and application. Discretization spaces for mixed schemes require suitable compatibilities, so that simple minded approximations generally do not work and the design of appropriate stabilizations gives rise to challenging mathematical problems. This volume collects the lecture notes of a C.I.M.E. course held in Summer 2006, when some of the most world recognized experts in the field reviewed the rigorous setting of mixed finite elements and revisited it after more than 30 years of practice. Applications, in this volume, range from traditional ones, like fluid-dynamics or elasticity, to more recent and active fields, like electromagnetism.

Author : Ahmed Khairy Noor,Walter D. Pilkey
Publisher : Unknown
Page : 560 pages
File Size : 47,7 Mb
Release : 1983
Category : Finite element method
ISBN : WISC:89009883273

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State-of-the-art Surveys on Finite Element Technology by Ahmed Khairy Noor,Walter D. Pilkey Pdf

Author : Apostol Poceski
Publisher : Springer Science & Business Media
Page : 357 pages
File Size : 43,5 Mb
Release : 2012-12-06
Category : Technology & Engineering
ISBN : 9783642846762

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Mixed Finite Element Method by Apostol Poceski Pdf

In this book, based on 16 years of work on the finite element method, the author presents the essence of a new, direct approach to the FEM. The work is focused on the mixed method and shows how reliable results may be obtained with fewer equations than usual. The basic principles, the fundamentals and the essence of the FEM are presented, then the method is applied to the analysis of one, two, and three-dimensional problems. It is shown that mixed elements offer superior accuracy compared with stiffness elements. Finally, some new achievements and perspectives for further development are presented. The book is intended for undergraduate and graduate students, mathematicians, research engineers and practicing engineers. To understand the book, a familiarity with classical mechanics is sufficient.

Author : Daniele Boffi,Franco Brezzi,Michel Fortin
Publisher : Springer Science & Business Media
Page : 692 pages
File Size : 43,9 Mb
Release : 2013-07-02
Category : Mathematics
ISBN : 9783642365195

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Mixed Finite Element Methods and Applications by Daniele Boffi,Franco Brezzi,Michel Fortin Pdf

Non-standard finite element methods, in particular mixed methods, are central to many applications. In this text the authors, Boffi, Brezzi and Fortin present a general framework, starting with a finite dimensional presentation, then moving on to formulation in Hilbert spaces and finally considering approximations, including stabilized methods and eigenvalue problems. This book also provides an introduction to standard finite element approximations, followed by the construction of elements for the approximation of mixed formulations in H(div) and H(curl). The general theory is applied to some classical examples: Dirichlet's problem, Stokes' problem, plate problems, elasticity and electromagnetism.

Author : Pfefferkorn, Robin
Publisher : KIT Scientific Publishing
Page : 218 pages
File Size : 42,9 Mb
Release : 2023-04-04
Category : Science
ISBN : 9783731512714

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EAS Elements for Solid Mechanics - Mesh Distortion Insensitive and Hourglassing-Free Formulations with Increased Robustness by Pfefferkorn, Robin Pdf

Proposed in the early 1990s, the enhanced assumed strain (EAS) method is one of the probably most successful mixed finite element methods for solid mechanics. This cumulative dissertation gives a comprehensive overview of previous publications on that method and covers recent improvements for EAS elements. In particular, we describe three key issues of standard EAS elements and develop corresponding solutions.

Author : Leonard Barolli,Mingwu Zhang,Xu An Wang
Publisher : Springer
Page : 779 pages
File Size : 44,9 Mb
Release : 2017-05-25
Category : Technology & Engineering
ISBN : 9783319594637

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Advances in Internetworking, Data & Web Technologies by Leonard Barolli,Mingwu Zhang,Xu An Wang Pdf

This book highlights the latest research findings, innovative research results, methods and development techniques, from both theoretical and practical perspectives, in the emerging areas of information networking, data and Web technologies. It gathers papers originally presented at the 5th International Conference on Emerging Internetworking, Data & Web Technologies (EIDWT-2017) held 10–11 June 2017 in Wuhan, China. The conference is dedicated to the dissemination of original contributions that are related to the theories, practices and concepts of emerging internetworking and data technologies – and most importantly, to how they can be applied in business and academia to achieve a collective intelligence approach. Information networking, data and Web technologies are currently undergoing a rapid evolution. As a result, they are now expected to manage increasing usage demand, provide support for a significant number of services, consistently deliver Quality of Service (QoS), and optimize network resources. Highlighting these aspects, the book discusses methods and practices that combine various internetworking and emerging data technologies to capture, integrate, analyze, mine, annotate, and visualize data, and make it available for various users and applications.

Author : Shmuel L. Weissman
Publisher : Unknown
Page : 346 pages
File Size : 47,8 Mb
Release : 1990
Category : Finite element method
ISBN : UCAL:C3364697

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A Unified Approach to Mixed Finite Element Methods by Shmuel L. Weissman Pdf

Author : Eugenio Onate,J. Periaux,A. Samuelsson
Publisher : Springer Science & Business Media
Page : 632 pages
File Size : 41,6 Mb
Release : 2013-11-11
Category : Technology & Engineering
ISBN : 9783662103265

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The finite element method in the 1990’s by Eugenio Onate,J. Periaux,A. Samuelsson Pdf

Edited on the occasion of Prof. Olgierd C. Zienkiewicz' 70th birthday, this book contains original contributions from eminent scientists dealing with a wide range of theoretical aspects of the Finite Element Method and its application to a variety of engineering problems. The book provides an overview of the state-of-the-art of finite element technology in the last decade of the 20th century.

Author : Dana Mueller-Hoeppe,Stefan Loehnert,Stefanie Reese
Publisher : Springer Science & Business Media
Page : 349 pages
File Size : 43,8 Mb
Release : 2011-01-11
Category : Technology & Engineering
ISBN : 9783642174841

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Recent Developments and Innovative Applications in Computational Mechanics by Dana Mueller-Hoeppe,Stefan Loehnert,Stefanie Reese Pdf

This Festschrift is dedicated to Professor Dr.-Ing. habil. Peter Wriggers on the occasion of his 60th birthday. It contains contributions from friends and collaborators as well as current and former PhD students from almost all continents. As a very diverse group of people, the authors cover a wide range of topics from fundamental research to industrial applications: contact mechanics, finite element technology, micromechanics, multiscale approaches, particle methods, isogeometric analysis, stochastic methods and further research interests. In summary, the volume presents an overview of the international state of the art in computational mechanics, both in academia and industry.

Author : Janz, Alexander
Publisher : KIT Scientific Publishing
Page : 216 pages
File Size : 51,9 Mb
Release : 2019-07-31
Category : Science
ISBN : 9783731509264

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Structure-preserving space-time discretization in a mixed framework for multi-field problems in large strain elasticity by Janz, Alexander Pdf

Author : Terry C. Lowe,Ruslan Z. Valiev
Publisher : Springer Science & Business Media
Page : 392 pages
File Size : 53,5 Mb
Release : 2012-12-06
Category : Technology & Engineering
ISBN : 9789401140621

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Investigations and Applications of Severe Plastic Deformation by Terry C. Lowe,Ruslan Z. Valiev Pdf

Material processing techniques that employ severe plastic deformation have evolved over the past decade, producing metals, alloys and composites having extraordinary properties. Variants of SPD methods are now capable of creating monolithic materials with submicron and nanocrystalline grain sizes. The resulting novel properties of these materials has led to a growing scientific and commercial interest in them. They offer the promise of bulk nanocrystalline materials for structural; applications, including nanocomposites of lightweight alloys with unprecedented strength. These materials may also enable the use of alternative metal shaping processes, such as high strain rate superplastic forming. Prospective applications for medical, automotive, aerospace and other industries are already under development.