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Author : Achi Brandt
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (586 download)
Download or read book Multi-level Adaptive Finite Element Methods written by Achi Brandt and published by . This book was released on 1979 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Kamaleddin M. Sadeghi
Publisher :
ISBN 13 :
Total Pages : 240 pages
Book Rating : 4.:/5 (394 download)
Download or read book Multi-level Adaptive Finite Element Analysis written by Kamaleddin M. Sadeghi and published by . This book was released on 1997 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Alfred Schmidt
Publisher : Springer Science & Business Media
ISBN 13 : 3540271562
Total Pages : 329 pages
Book Rating : 4.5/5 (42 download)
Download or read book Design of Adaptive Finite Element Software written by Alfred Schmidt and published by Springer Science & Business Media. This book was released on 2006-03-30 with total page 329 pages. Available in PDF, EPUB and Kindle. Book excerpt: During the last years, scientific computing has become an important research branch located between applied mathematics and applied sciences and engineering. Highly efficient numerical methods are based on adaptive methods, higher order discretizations, fast linear and non-linear iterative solvers, multi-level algorithms, etc. Such methods are integrated in the adaptive finite element software ALBERTA. It is a toolbox for the fast and flexible implementation of efficient software for real life applications, based on modern algorithms. ALBERTA also serves as an environment for improving existent, or developing new numerical methods in an interplay with mathematical analysis and it allows the direct integration of such new or improved methods in existing simulation software.
Author : William F. Mitchell
Publisher :
ISBN 13 :
Total Pages : 128 pages
Book Rating : 4.:/5 (31 download)
Download or read book Unified Multilevel Adaptive Finite Element Methods for Elliptic Problems written by William F. Mitchell and published by . This book was released on 1988 with total page 128 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Ronald DeVore
Publisher : Springer
ISBN 13 : 9783642424571
Total Pages : 0 pages
Book Rating : 4.4/5 (245 download)
Download or read book Multiscale, Nonlinear and Adaptive Approximation written by Ronald DeVore and published by Springer. This book was released on 2014-12-04 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: . . . . . . . . . . . . . . . . . . . 7 7 Hyperbolic partial differential equations and conservation laws . . . 8 8 Engineering collaborations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9 9 Thepresent . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9 10 Finalremarks. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10 Publications by Wolfgang Dahmen (as of summer 2009). . . . . . . . . . . . . . . 10 The way things were in multivariate splines: A personal view. . . . . . . . . . . 19 Carl de Boor 1 Tensor product spline interpolation. . . . . . . . . . . . . . . . . . . . . . . . . . . 19 2 Quasiinterpolation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20 3 MultivariateB-splines . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 21 4 Kergininterpolation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
Author : Stephen F. McCormick
Publisher : SIAM
ISBN 13 : 9781611971026
Total Pages : 171 pages
Book Rating : 4.9/5 (71 download)
Download or read book Multilevel Adaptive Methods for Partial Differential Equations written by Stephen F. McCormick and published by SIAM. This book was released on 1989-01-01 with total page 171 pages. Available in PDF, EPUB and Kindle. Book excerpt: A practical handbook for understanding and using fast adaptive composite grid (FAC) methods for discretization and solution of partial differential equations (PDEs). Contains fundamental concepts. These so-called FAC are characterized by their use of a composite grid, which is nominally the union of various uniform grids. FAC is capable of producing a composite grid with tailored resolution, and a corresponding solution with commensurate accuracy, at a cost proportional to the number of composite grid points. Moreover, special asynchronous versions of the fast adaptive composite grid methods (AFAC) studied here have seemingly optimal complexity in a parallel computing environment. Most of the methods treated in this book were discovered only within the last decade, and in many cases their development is still in its infancy. While this is not meant to be comprehensive, it does provide a theoretical and practical guide to multilevel adaptive methods and relevant discretization techniques. It also contains new material, which is included to fill in certain gaps and to expose new avenues of research. Also, because adaptive refinement seems to demand a lot of attention to philosophical issues, personal perspectives are often brought freely into the discussion.
Author : Achi Brandt
Publisher :
ISBN 13 :
Total Pages : 70 pages
Book Rating : 4.:/5 (558 download)
Download or read book Multi-level Adaptive Finite Element Methords written by Achi Brandt and published by . This book was released on 1979 with total page 70 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Zhangxin Chen
Publisher : Springer Science & Business Media
ISBN 13 : 3540240780
Total Pages : 415 pages
Book Rating : 4.5/5 (42 download)
Download or read book Finite Element Methods and Their Applications written by Zhangxin Chen and published by Springer Science & Business Media. This book was released on 2005-06-23 with total page 415 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduce every concept in the simplest setting and to maintain a level of treatment that is as rigorous as possible without being unnecessarily abstract. Contains unique recent developments of various finite elements such as nonconforming, mixed, discontinuous, characteristic, and adaptive finite elements, along with their applications. Describes unique recent applications of finite element methods to important fields such as multiphase flows in porous media and semiconductor modelling. Treats the three major types of partial differential equations, i.e., elliptic, parabolic, and hyperbolic equations.
Author :
Publisher : Springer-Verlag
ISBN 13 : 3322912159
Total Pages : 160 pages
Book Rating : 4.3/5 (229 download)
Download or read book Multilevel Finite Element Approximation written by and published by Springer-Verlag. This book was released on 2013-04-17 with total page 160 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : O. C. Zienkiewicz
Publisher : Elsevier
ISBN 13 : 0080531679
Total Pages : 1863 pages
Book Rating : 4.0/5 (85 download)
Download or read book The Finite Element Method Set written by O. C. Zienkiewicz and published by Elsevier. This book was released on 2005-11-25 with total page 1863 pages. Available in PDF, EPUB and Kindle. Book excerpt: The sixth editions of these seminal books deliver the most up to date and comprehensive reference yet on the finite element method for all engineers and mathematicians. Renowned for their scope, range and authority, the new editions have been significantly developed in terms of both contents and scope. Each book is now complete in its own right and provides self-contained reference; used together they provide a formidable resource covering the theory and the application of the universally used FEM. Written by the leading professors in their fields, the three books cover the basis of the method, its application to solid mechanics and to fluid dynamics. * This is THE classic finite element method set, by two the subject's leading authors * FEM is a constantly developing subject, and any professional or student of engineering involved in understanding the computational modelling of physical systems will inevitably use the techniques in these books * Fully up-to-date; ideal for teaching and reference
Author : Stephen F. McCormick
Publisher : SIAM
ISBN 13 : 1611971888
Total Pages : 292 pages
Book Rating : 4.6/5 (119 download)
Download or read book Multigrid Methods written by Stephen F. McCormick and published by SIAM. This book was released on 1987-12-01 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: A thoughtful consideration of the current level of development of multigrid methods, this volume is a carefully edited collection of papers that addresses its topic on several levels. The first three chapters orient the reader who is familiar with standard numerical techniques to multigrid methods, first by discussing multigrid in the context of standard techniques, second by detailing the mechanics of use of the method, and third by applying the basic method to some current problems in fluid dynamics. The fourth chapter provides a unified development, complete with theory, of algebraic multigrid (AMG), which is a linear equation solver based on multigrid principles. The last chapter is an ambitious development of a very general theory of multigrid methods for variationally posed problems. Included as an appendix is the latest edition of the Multigrid Bibliography, an attempted compilation of all existing research publications on multigrid.
Author : Wolfgang Bangerth
Publisher : Springer Science & Business Media
ISBN 13 : 9783764370091
Total Pages : 222 pages
Book Rating : 4.3/5 (7 download)
Download or read book Adaptive Finite Element Methods for Differential Equations written by Wolfgang Bangerth and published by Springer Science & Business Media. This book was released on 2003-01-23 with total page 222 pages. Available in PDF, EPUB and Kindle. Book excerpt: The key issues are a posteriori error estimation and it automatic mesh adaptation. Besides the traditional approach of energy-norm error control, a new duality-based technique, the Dual Weighted Residual 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. At the end of each chapter some exercises are posed in order to assist the interested reader in better understanding the concepts presented. Solutions and accompanying remarks are given in the Appendix.
Author : Jörg Ackermann
Publisher :
ISBN 13 :
Total Pages : 10 pages
Book Rating : 4.:/5 (753 download)
Download or read book On a two-dimensional multilevel adaptive finite element method for the time independent Schrödinger equation written by Jörg Ackermann and published by . This book was released on 1993 with total page 10 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : W. Hackbusch
Publisher : Springer
ISBN 13 : 354039544X
Total Pages : 664 pages
Book Rating : 4.5/5 (43 download)
Download or read book Multigrid Methods written by W. Hackbusch and published by Springer. This book was released on 2006-11-15 with total page 664 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Thomas Apel
Publisher : Springer Science & Business Media
ISBN 13 : 3642303161
Total Pages : 380 pages
Book Rating : 4.6/5 (423 download)
Download or read book Advanced Finite Element Methods and Applications written by Thomas Apel and published by Springer Science & Business Media. This book was released on 2012-07-16 with total page 380 pages. 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.
Author : Ulrich Ruede
Publisher : SIAM
ISBN 13 : 9781611970968
Total Pages : 152 pages
Book Rating : 4.9/5 (79 download)
Download or read book Mathematical and Computational Techniques for Multilevel Adaptive Methods written by Ulrich Ruede and published by SIAM. This book was released on 1993-01-01 with total page 152 pages. Available in PDF, EPUB and Kindle. Book excerpt: Multilevel adaptive methods play an increasingly important role in the solution of many scientific and engineering problems. Fast adaptive methods techniques are widely used by specialists to execute and analyze simulation and optimization problems. This monograph presents a unified approach to adaptive methods, addressing their mathematical theory, efficient algorithms, and flexible data structures. Rüde introduces a well-founded mathematical theory that leads to intelligent, adaptive algorithms, and suggests advanced software techniques. This new kind of multigrid theory supports the so-called "BPX" and "multilevel Schwarz" methods, and leads to the discovery of faster more robust algorithms. These techniques are deeply rooted in the theory of function spaces. Mathematical and Computational Techniques for Multilevel Adaptive Methods examines this development together with its implications for relevant algorithms for adaptive PDE methods. The author shows how abstract data types and object-oriented programming can be used for improved implementation.
Author : Christoph Pflaum
Publisher :
ISBN 13 :
Total Pages : 31 pages
Book Rating : 4.:/5 (351 download)
Download or read book A Multi-level-algorithm for the Finite-element-solution of General Second Order Elliptic Differential Equations on Adaptive Sparse Grids written by Christoph Pflaum and published by . This book was released on 1994 with total page 31 pages. Available in PDF, EPUB and Kindle. Book excerpt:
