Finite Element Methods For Eigenvalue Problems PDF Download
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Author | : Jiguang Sun |
Publisher | : CRC Press |
Total Pages | : 368 |
Release | : 2016-08-19 |
Genre | : Mathematics |
ISBN | : 1482254654 |
Download Finite Element Methods for Eigenvalue Problems Book in PDF, ePub and Kindle
This book covers finite element methods for several typical eigenvalues that arise from science and engineering. Both theory and implementation are covered in depth at the graduate level. The background for typical eigenvalue problems is included along with functional analysis tools, finite element discretization methods, convergence analysis, techniques for matrix evaluation problems, and computer implementation. The book also presents new methods, such as the discontinuous Galerkin method, and new problems, such as the transmission eigenvalue problem.
Author | : C. J. Reddy |
Publisher | : |
Total Pages | : 44 |
Release | : 1994 |
Genre | : Computer programs |
ISBN | : |
Download Finite Element Method for Eigenvalue Problems in Electromagnetics Book in PDF, ePub and Kindle
Author | : Corina Spreiter |
Publisher | : |
Total Pages | : 0 |
Release | : 2022 |
Genre | : |
ISBN | : |
Download Adaptive Finite Element Method for Eigenvalue Problems Book in PDF, ePub and Kindle
Author | : Thomas Apel |
Publisher | : Springer Science & Business Media |
Total Pages | : 380 |
Release | : 2012-07-16 |
Genre | : Technology & Engineering |
ISBN | : 3642303161 |
Download Advanced Finite Element Methods and Applications Book in PDF, ePub and Kindle
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.
Author | : Rolf Rannacher |
Publisher | : |
Total Pages | : 21 |
Release | : 1978 |
Genre | : |
ISBN | : |
Download Nonconforming finite element methods for eigenvalue problems in linear plate theory Book in PDF, ePub and Kindle
Author | : Daniele Boffi |
Publisher | : Springer Science & Business Media |
Total Pages | : 692 |
Release | : 2013-07-02 |
Genre | : Mathematics |
ISBN | : 3642365191 |
Download Mixed Finite Element Methods and Applications Book in PDF, ePub and Kindle
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 | : Yousef Saad |
Publisher | : SIAM |
Total Pages | : 292 |
Release | : 2011-01-01 |
Genre | : Mathematics |
ISBN | : 9781611970739 |
Download Numerical Methods for Large Eigenvalue Problems Book in PDF, ePub and Kindle
This revised edition discusses numerical methods for computing eigenvalues and eigenvectors of large sparse matrices. It provides an in-depth view of the numerical methods that are applicable for solving matrix eigenvalue problems that arise in various engineering and scientific applications. Each chapter was updated by shortening or deleting outdated topics, adding topics of more recent interest, and adapting the Notes and References section. Significant changes have been made to Chapters 6 through 8, which describe algorithms and their implementations and now include topics such as the implicit restart techniques, the Jacobi-Davidson method, and automatic multilevel substructuring.
Author | : |
Publisher | : |
Total Pages | : 38 |
Release | : 2001 |
Genre | : |
ISBN | : |
Download Adaptive Finite Element Methods for Eigenvalue Problems with Applications in Quantum Physics Book in PDF, ePub and Kindle
Author | : Wolfgang Bangerth |
Publisher | : Birkhäuser |
Total Pages | : 216 |
Release | : 2013-11-11 |
Genre | : Mathematics |
ISBN | : 303487605X |
Download Adaptive Finite Element Methods for Differential Equations Book in PDF, ePub and Kindle
These Lecture Notes have been compiled from the material presented by the second author in a lecture series ('Nachdiplomvorlesung') at the Department of Mathematics of the ETH Zurich during the summer term 2002. Concepts of 'self adaptivity' in the numerical solution of differential equations are discussed with emphasis on Galerkin finite element methods. The key issues are a posteriori er ror estimation and automatic mesh adaptation. Besides the traditional approach of energy-norm error control, a new duality-based technique, the Dual Weighted Residual method (or shortly D WR method) for goal-oriented error estimation is discussed in detail. This method aims at economical computation of arbitrary quantities of physical interest by properly adapting the computational mesh. This is typically required in the design cycles of technical applications. For example, the drag coefficient of a body immersed in a viscous flow is computed, then it is minimized by varying certain control parameters, and finally the stability of the resulting flow is investigated by solving an eigenvalue problem. 'Goal-oriented' adaptivity is designed to achieve these tasks with minimal cost. The basics of the DWR method and various of its applications are described in the following survey articles: R. Rannacher [114], Error control in finite element computations. In: Proc. of Summer School Error Control and Adaptivity in Scientific Computing (H. Bulgak and C. Zenger, eds), pp. 247-278. Kluwer Academic Publishers, 1998. M. Braack and R. Rannacher [42], Adaptive finite element methods for low Mach-number flows with chemical reactions.
Author | : A. K. Aziz |
Publisher | : Academic Press |
Total Pages | : 814 |
Release | : 2014-05-10 |
Genre | : Technology & Engineering |
ISBN | : 1483267989 |
Download The Mathematical Foundations of the Finite Element Method with Applications to Partial Differential Equations Book in PDF, ePub and Kindle
The Mathematical Foundations of the Finite Element Method with Applications to Partial Differential Equations is a collection of papers presented at the 1972 Symposium by the same title, held at the University of Maryland, Baltimore County Campus. This symposium relates considerable numerical analysis involved in research in both theoretical and practical aspects of the finite element method. This text is organized into three parts encompassing 34 chapters. Part I focuses on the mathematical foundations of the finite element method, including papers on theory of approximation, variational principles, the problems of perturbations, and the eigenvalue problem. Part II covers a large number of important results of both a theoretical and a practical nature. This part discusses the piecewise analytic interpolation and approximation of triangulated polygons; the Patch test for convergence of finite elements; solutions for Dirichlet problems; variational crimes in the field; and superconvergence result for the approximate solution of the heat equation by a collocation method. Part III explores the many practical aspects of finite element method. This book will be of great value to mathematicians, engineers, and physicists.