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Author : Fatih Celiker
Publisher :
ISBN 13 :
Total Pages : 300 pages
Book Rating : 4.:/5 (319 download)
Download or read book Discontinuous Galerkin Methods for Structural Mechanics written by Fatih Celiker and published by . This book was released on 2005 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Siddharth Srinivasan
Publisher :
ISBN 13 :
Total Pages : 350 pages
Book Rating : 4.:/5 (952 download)
Download or read book The Local Discontinuous Galerkin Methods for Basic Structural Mechanics written by Siddharth Srinivasan and published by . This book was released on 2005 with total page 350 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Beatrice Riviere
Publisher : SIAM
ISBN 13 : 089871656X
Total Pages : 201 pages
Book Rating : 4.8/5 (987 download)
Download or read book Discontinuous Galerkin Methods for Solving Elliptic and Parabolic Equations written by Beatrice Riviere and published by SIAM. This book was released on 2008-12-18 with total page 201 pages. Available in PDF, EPUB and Kindle. Book excerpt: Focuses on three primal DG methods, covering both theory and computation, and providing the basic tools for analysis.
Author : Bernardo Cockburn
Publisher : Springer Science & Business Media
ISBN 13 : 3642597211
Total Pages : 468 pages
Book Rating : 4.6/5 (425 download)
Download or read book Discontinuous Galerkin Methods written by Bernardo Cockburn and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 468 pages. Available in PDF, EPUB and Kindle. Book excerpt: A class of finite element methods, the Discontinuous Galerkin Methods (DGM), has been under rapid development recently and has found its use very quickly in such diverse applications as aeroacoustics, semi-conductor device simula tion, turbomachinery, turbulent flows, materials processing, MHD and plasma simulations, and image processing. While there has been a lot of interest from mathematicians, physicists and engineers in DGM, only scattered information is available and there has been no prior effort in organizing and publishing the existing volume of knowledge on this subject. In May 24-26, 1999 we organized in Newport (Rhode Island, USA), the first international symposium on DGM with equal emphasis on the theory, numerical implementation, and applications. Eighteen invited speakers, lead ers in the field, and thirty-two contributors presented various aspects and addressed open issues on DGM. In this volume we include forty-nine papers presented in the Symposium as well as a survey paper written by the organiz ers. All papers were peer-reviewed. A summary of these papers is included in the survey paper, which also provides a historical perspective of the evolution of DGM and its relation to other numerical methods. We hope this volume will become a major reference in this topic. It is intended for students and researchers who work in theory and application of numerical solution of convection dominated partial differential equations. The papers were written with the assumption that the reader has some knowledge of classical finite elements and finite volume methods.
Author : Jan S. Hesthaven
Publisher : Springer Science & Business Media
ISBN 13 : 0387720650
Total Pages : 507 pages
Book Rating : 4.3/5 (877 download)
Download or read book Nodal Discontinuous Galerkin Methods written by Jan S. Hesthaven and published by Springer Science & Business Media. This book was released on 2007-12-18 with total page 507 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers an introduction to the key ideas, basic analysis, and efficient implementation of discontinuous Galerkin finite element methods (DG-FEM) for the solution of partial differential equations. It covers all key theoretical results, including an overview of relevant results from approximation theory, convergence theory for numerical PDE’s, and orthogonal polynomials. Through embedded Matlab codes, coverage discusses and implements the algorithms for a number of classic systems of PDE’s: Maxwell’s equations, Euler equations, incompressible Navier-Stokes equations, and Poisson- and Helmholtz equations.
Author : SeeChew Soon
Publisher :
ISBN 13 : 9780549851974
Total Pages : 240 pages
Book Rating : 4.8/5 (519 download)
Download or read book Hybridizable Discontinuous Galerkin Method for Solid Mechanics written by SeeChew Soon and published by . This book was released on 2008 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: The second reason is that when polynomials of degree k are used for both the primary (e.g., pressure, temperature, displacement) and secondary (e.g., velocity, heat flux, stress) unknowns, both approximations converge with the optimal order of k + 1 for k ≥ 0. All other known DG methods provide a secondary unknown converging with order k and only for k ≥ 1. In addition, if k ≥ 2, an element-by-element post-processing generates a new approximation for primary unknown, which converges with order k + 2. The HDG method is thus more efficiently implementable and more accurate than any other DG methods.
Author : H.A. Mang
Publisher : Springer Science & Business Media
ISBN 13 : 940114589X
Total Pages : 387 pages
Book Rating : 4.4/5 (11 download)
Download or read book IUTAM Symposium on Discretization Methods in Structural Mechanics written by H.A. Mang and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 387 pages. Available in PDF, EPUB and Kindle. Book excerpt: The JUT AMlIACM Symposium on Discretization Methods in Structural Mechanics was nd th held in Vienna, Austria, from 2 to 6 June 1997. The site of the Symposium was the "Theatersaal" of the Austrian Academy of Sciences. The Symposium was attended by 71 persons from 23 countries. In addition, several Austrian graduate students and research associates participated in the meeting. In the 5-day Symposium a total of 48 papers were presented. All of them were invited and accorded equal weight in the programme. The following topics were covered: • Error-controlled adaptivity of finite element methods • Large deformations and buckling, including inelastic deformations • Inelastic brittle or ductile localization, phase transition and system failure, resulting from monotonic, cyclic or impact loading • Sensitivity analysis and inverse problems with special emphasis on identification of material parameters • Development of linear and nonlinear finite element methods for thin-walled structures and composites • Implicit integration schemes for nonlinear dynamics • Coupling of rigid and deformable structures; fluid-structures and acoustic-structure interaction • Competitive numerical methods (finite element methods, boundary element methods, coupling ofthese two methods) • Identification of material and structural data. Comments on details of the treatment of these topics are contained in the Concluding Remarks. The Editors would like to express their appreciation to E. Stein who has prepared these Concluding Remarks.
Author : Steven J. Fenves
Publisher : Elsevier
ISBN 13 : 1483272540
Total Pages : 698 pages
Book Rating : 4.4/5 (832 download)
Download or read book Numerical and Computer Methods in Structural Mechanics written by Steven J. Fenves and published by Elsevier. This book was released on 2014-05-10 with total page 698 pages. Available in PDF, EPUB and Kindle. Book excerpt: Numerical and Computer Methods in Structural Mechanics is a compendium of papers that deals with the numerical methods in structural mechanics, computer techniques, and computer capabilities. Some papers discus the analytical basis of the computer technique most widely used in software, that is, the finite element method. This method includes the convergence (in terms of variation principles) isoparametrics, hybrid models, and incompatible displacement models. Other papers explain the storage or retrieval of data, as well as equation-solving algorithms. Other papers describe general-purpose structural mechanics programs, alternatives to, and extension of the usual finite element approaches. Another paper explores nonlinear, dynamic finite element problems, and a direct physical approach to determine finite difference models. Special papers explain structural mechanics used in computing, particularly, those related to integrated data bases, such as in the Structures Oriented Exchange System of the Office of Naval Research and the integrated design of tanker structures. Other papers describe software and hardware capabilities, for example, in ship design, fracture mechanics, biomechanics, and crash safety. The text is suitable for programmers, computer engineers, researchers, and scientists involved in materials and industrial design.
Author : Jan Awrejcewicz
Publisher : Springer Science & Business Media
ISBN 13 : 3540776761
Total Pages : 424 pages
Book Rating : 4.5/5 (47 download)
Download or read book Chaos in Structural Mechanics written by Jan Awrejcewicz and published by Springer Science & Business Media. This book was released on 2009-11-11 with total page 424 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume introduces new approaches to modeling strongly nonlinear behaviour of structural mechanical units: beams, plates and shells or composite systems. The text draws on bifurcation theory and chaos, emphasizing control and stability of objects and systems.
Author : Nicholas Fantuzzi
Publisher : MDPI
ISBN 13 : 3036501363
Total Pages : 220 pages
Book Rating : 4.0/5 (365 download)
Download or read book Mesh-Free and Finite Element-Based Methods for Structural Mechanics Applications written by Nicholas Fantuzzi and published by MDPI. This book was released on 2021-01-27 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt: The problem of solving complex engineering problems has always been a major topic in all industrial fields, such as aerospace, civil and mechanical engineering. The use of numerical methods has increased exponentially in the last few years, due to modern computers in the field of structural mechanics. Moreover, a wide range of numerical methods have been presented in the literature for solving such problems. Structural mechanics problems are dealt with using partial differential systems of equations that might be solved by following the two main classes of methods: Domain-decomposition methods or the so-called finite element methods and mesh-free methods where no decomposition is carried out. Both methodologies discretize a partial differential system into a set of algebraic equations that can be easily solved by computer implementation. The aim of the present Special Issue is to present a collection of recent works on these themes and a comparison of the novel advancements of both worlds in structural mechanics applications.
Author : W. A. Wall
Publisher :
ISBN 13 :
Total Pages : 796 pages
Book Rating : 4.3/5 (91 download)
Download or read book Trends in Computational Structural Mechanics written by W. A. Wall and published by . This book was released on 2001 with total page 796 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Martin Kronbichler
Publisher : Springer Nature
ISBN 13 : 3030606104
Total Pages : 314 pages
Book Rating : 4.0/5 (36 download)
Download or read book Efficient High-Order Discretizations for Computational Fluid Dynamics written by Martin Kronbichler and published by Springer Nature. This book was released on 2021-01-04 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book introduces modern high-order methods for computational fluid dynamics. As compared to low order finite volumes predominant in today's production codes, higher order discretizations significantly reduce dispersion errors, the main source of error in long-time simulations of flow at higher Reynolds numbers. A major goal of this book is to teach the basics of the discontinuous Galerkin (DG) method in terms of its finite volume and finite element ingredients. It also discusses the computational efficiency of high-order methods versus state-of-the-art low order methods in the finite difference context, given that accuracy requirements in engineering are often not overly strict. The book mainly addresses researchers and doctoral students in engineering, applied mathematics, physics and high-performance computing with a strong interest in the interdisciplinary aspects of computational fluid dynamics. It is also well-suited for practicing computational engineers who would like to gain an overview of discontinuous Galerkin methods, modern algorithmic realizations, and high-performance implementations.
Author : Timothy J. Barth
Publisher : Springer Science & Business Media
ISBN 13 : 366203882X
Total Pages : 594 pages
Book Rating : 4.6/5 (62 download)
Download or read book High-Order Methods for Computational Physics written by Timothy J. Barth and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 594 pages. Available in PDF, EPUB and Kindle. Book excerpt: The development of high-order accurate numerical discretization techniques for irregular domains and meshes is often cited as one of the remaining chal lenges facing the field of computational fluid dynamics. In structural me chanics, the advantages of high-order finite element approximation are widely recognized. This is especially true when high-order element approximation is combined with element refinement (h-p refinement). In computational fluid dynamics, high-order discretization methods are infrequently used in the com putation of compressible fluid flow. The hyperbolic nature of the governing equations and the presence of solution discontinuities makes high-order ac curacy difficult to achieve. Consequently, second-order accurate methods are still predominately used in industrial applications even though evidence sug gests that high-order methods may offer a way to significantly improve the resolution and accuracy for these calculations. To address this important topic, a special course was jointly organized by the Applied Vehicle Technology Panel of NATO's Research and Technology Organization (RTO), the von Karman Institute for Fluid Dynamics, and the Numerical Aerospace Simulation Division at the NASA Ames Research Cen ter. The NATO RTO sponsored course entitled "Higher Order Discretization Methods in Computational Fluid Dynamics" was held September 14-18,1998 at the von Karman Institute for Fluid Dynamics in Belgium and September 21-25,1998 at the NASA Ames Research Center in the United States.
Author : O. C. Zienkiewicz
Publisher : Elsevier
ISBN 13 : 0080455581
Total Pages : 653 pages
Book Rating : 4.0/5 (84 download)
Download or read book The Finite Element Method for Solid and Structural Mechanics written by O. C. Zienkiewicz and published by Elsevier. This book was released on 2005-08-09 with total page 653 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the key text and reference for engineers, researchers and senior students dealing with the analysis and modelling of structures – from large civil engineering projects such as dams, to aircraft structures, through to small engineered components. Covering small and large deformation behaviour of solids and structures, it is an essential book for engineers and mathematicians. The new edition is a complete solids and structures text and reference in its own right and forms part of the world-renowned Finite Element Method series by Zienkiewicz and Taylor. New material in this edition includes separate coverage of solid continua and structural theories of rods, plates and shells; extended coverage of plasticity (isotropic and anisotropic); node-to-surface and 'mortar' method treatments; problems involving solids and rigid and pseudo-rigid bodies; and multi-scale modelling. - Dedicated coverage of solid and structural mechanics by world-renowned authors, Zienkiewicz and Taylor - New material including separate coverage of solid continua and structural theories of rods, plates and shells; extended coverage for small and finite deformation; elastic and inelastic material constitution; contact modelling; problems involving solids, rigid and discrete elements; and multi-scale modelling
Author : Xiaoning Xiang
Publisher :
ISBN 13 :
Total Pages : 250 pages
Book Rating : 4.:/5 (373 download)
Download or read book Element Free Galerkin Method in Structural Mechanics written by Xiaoning Xiang and published by . This book was released on 1997 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Clint Dawson
Publisher :
ISBN 13 :
Total Pages : 368 pages
Book Rating : 4.:/5 (759 download)
Download or read book Discontinuous Galerkin Methods written by Clint Dawson and published by . This book was released on 2006 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : C. A. J. Fletcher
Publisher : Springer Science & Business Media
ISBN 13 : 3642859496
Total Pages : 320 pages
Book Rating : 4.6/5 (428 download)
Download or read book Computational Galerkin Methods written by C. A. J. Fletcher and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the wake of the computer revolution, a large number of apparently uncon nected computational techniques have emerged. Also, particular methods have assumed prominent positions in certain areas of application. Finite element methods, for example, are used almost exclusively for solving structural problems; spectral methods are becoming the preferred approach to global atmospheric modelling and weather prediction; and the use of finite difference methods is nearly universal in predicting the flow around aircraft wings and fuselages. These apparently unrelated techniques are firmly entrenched in computer codes used every day by practicing scientists and engineers. Many of these scientists and engineers have been drawn into the computational area without the benefit offormal computational training. Often the formal computational training we do provide reinforces the arbitrary divisions between the various computational methods available. One of the purposes of this monograph is to show that many computational techniques are, indeed, closely related. The Galerkin formulation, which is being used in many subject areas, provides the connection. Within the Galerkin frame-work we can generate finite element, finite difference, and spectral methods.
