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The Local Discontinuous Galerkin Methods For Basic Structural Mechanics
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Book Synopsis The Local Discontinuous Galerkin Methods for Basic Structural Mechanics by : Siddharth Srinivasan
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:
Book Synopsis Discontinuous Galerkin Methods for Structural Mechanics by : Fatih Celiker
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:
Book Synopsis Discontinuous Galerkin Methods for Solving Elliptic and Parabolic Equations by : Beatrice Riviere
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.
Book Synopsis Discontinuous Galerkin Methods by : Bernardo Cockburn
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.
Book Synopsis High-Order Methods for Computational Physics by : Timothy J. Barth
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.
Book Synopsis Runge-Kutta Discontinuous Galerkin Methods for Convection-dominated Problems by : Bernardo Cockburn
Download or read book Runge-Kutta Discontinuous Galerkin Methods for Convection-dominated Problems written by Bernardo Cockburn and published by . This book was released on 2000 with total page 84 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Hybridizable Discontinuous Galerkin Method for Solid Mechanics by : SeeChew Soon
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.
Book Synopsis hp-Version Discontinuous Galerkin Methods on Polygonal and Polyhedral Meshes by : Andrea Cangiani
Download or read book hp-Version Discontinuous Galerkin Methods on Polygonal and Polyhedral Meshes written by Andrea Cangiani and published by Springer. This book was released on 2017-11-27 with total page 133 pages. Available in PDF, EPUB and Kindle. Book excerpt: Over the last few decades discontinuous Galerkin finite element methods (DGFEMs) have been witnessed tremendous interest as a computational framework for the numerical solution of partial differential equations. Their success is due to their extreme versatility in the design of the underlying meshes and local basis functions, while retaining key features of both (classical) finite element and finite volume methods. Somewhat surprisingly, DGFEMs on general tessellations consisting of polygonal (in 2D) or polyhedral (in 3D) element shapes have received little attention within the literature, despite the potential computational advantages. This volume introduces the basic principles of hp-version (i.e., locally varying mesh-size and polynomial order) DGFEMs over meshes consisting of polygonal or polyhedral element shapes, presents their error analysis, and includes an extensive collection of numerical experiments. The extreme flexibility provided by the locally variable elemen t-shapes, element-sizes, and element-orders is shown to deliver substantial computational gains in several practical scenarios.
Book Synopsis Nodal Discontinuous Galerkin Methods by : Jan S. Hesthaven
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.
Book Synopsis Structural Mechanics by : Einar N. Strømmen
Download or read book Structural Mechanics written by Einar N. Strømmen and published by Springer Nature. This book was released on 2020-05-25 with total page 354 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text book covers the principles and methods of load effect calculations that are necessary for engineers and designers to evaluate the strength and stability of structural systems. It contains the mathematical development from basic assumptions to final equations ready for practical use. It starts at a basic level and step by step it brings the reader up to a level where the necessary design safety considerations to static load effects can be performed, i.e. to a level where cross sectional forces and corresponding stresses can be calculated and compared to the strength of the system. It contains a comprehensive coverage of elastic buckling, providing the basis for the evaluation of structural stability. It includes general methods enabling designers to calculate structural displacements, such that the system may fulfil its intended functions. It is taken for granted that the reader possess good knowledge of calculus, differential equations and basic matrix operations. The finite element method for line-like systems has been covered, but not the finite element method for shells and plates.
Book Synopsis Lectures on Advanced Computational Methods in Mechanics by : Johannes Kraus
Download or read book Lectures on Advanced Computational Methods in Mechanics written by Johannes Kraus and published by Walter de Gruyter. This book was released on 2011-12-22 with total page 241 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains four survey papers related to different topics in computational mechanics, in particular (1) novel discretization and solver techniques in mechanics and (2) inverse, control, and optimization problems in mechanics. These topics were considered in lectures, seminars, tutorials, and workshops at the Special Semester on Computational Mechanics held at the Johann Radon Institute for Computational and Applied Mathematics (RICAM), Linz, Austria, in December 2005.
Book Synopsis Efficient High-Order Discretizations for Computational Fluid Dynamics by : Martin Kronbichler
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.
Book Synopsis Adaptive High-order Methods in Computational Fluid Dynamics by : Z. J. Wang
Download or read book Adaptive High-order Methods in Computational Fluid Dynamics written by Z. J. Wang and published by World Scientific. This book was released on 2011 with total page 471 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book consists of important contributions by world-renowned experts on adaptive high-order methods in computational fluid dynamics (CFD). It covers several widely used, and still intensively researched methods, including the discontinuous Galerkin, residual distribution, finite volume, differential quadrature, spectral volume, spectral difference, PNPM, and correction procedure via reconstruction methods. The main focus is applications in aerospace engineering, but the book should also be useful in many other engineering disciplines including mechanical, chemical and electrical engineering. Since many of these methods are still evolving, the book will be an excellent reference for researchers and graduate students to gain an understanding of the state of the art and remaining challenges in high-order CFD methods.
Book Synopsis Nonlinear Computational Structural Mechanics by : Pierre Ladeveze
Download or read book Nonlinear Computational Structural Mechanics written by Pierre Ladeveze and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 230 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book treats computational modeling of structures in which strong nonlinearities are present. It is therefore a work in mechanics and engineering, although the discussion centers on methods that are considered parts of applied mathematics. The task is to simulate numerically the behavior of a structure under various imposed excitations, forces, and displacements, and then to determine the resulting damage to the structure, and ultimately to optimize it so as to minimize the damage, subject to various constraints. The method used is iterative: at each stage an approximation to the displacements, strains, and stresses throughout the structure is computated and over all times in the interval of interest. This method leads to a general approach for understanding structural models and the necessary approximations.
Book Synopsis Fundamentals of Structural Mechanics by : Keith D. Hjelmstad
Download or read book Fundamentals of Structural Mechanics written by Keith D. Hjelmstad and published by Springer Science & Business Media. This book was released on 2007-03-14 with total page 485 pages. Available in PDF, EPUB and Kindle. Book excerpt: A solid introduction to basic continuum mechanics, emphasizing variational formulations and numeric computation. The book offers a complete discussion of numerical method techniques used in the study of structural mechanics.
Book Synopsis Chaos in Structural Mechanics by : Jan Awrejcewicz
Download or read book Chaos in Structural Mechanics written by Jan Awrejcewicz and published by Springer. This book was released on 2010-10-22 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.
Book Synopsis Recent Progress in Computational and Applied PDES by : Tony F. Chan
Download or read book Recent Progress in Computational and Applied PDES written by Tony F. Chan and published by Springer Science & Business Media. This book was released on 2002 with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book discusses some key scientific and technological developments in computational and applied partial differential equations. It covers many areas of scientific computing, including multigrid methods, image processing, finite element analysis and adaptive computations. It also covers software technology, algorithms and applications. Most papers are of research level, and are contributed by some well-known mathematicians and computer scientists. The book will be useful to engineers, computational scientists and graduate students.