Adaptive Methods For Partial Differential Equations

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Adaptive Methods For Partial Differential Equations

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Author : Ivo Babushka
language : en
Publisher: SIAM
Release Date : 1989-01-01

Adaptive Methods For Partial Differential Equations written by Ivo Babushka and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989-01-01 with Mathematics categories.

"Proceedings of the Workshop on Adaptive Computational Methods for Partial Differential Equations, Rensselaer Polytechnic Institute, October 13-15, 1988"--T.p. verso.

Adaptive Computational Methods For Partial Differential Equations

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Author : Ivo Babushka
language : en
Publisher: SIAM
Release Date : 1983-01-01

Adaptive Computational Methods For Partial Differential Equations written by Ivo Babushka and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 1983-01-01 with Mathematics categories.

List of participants; Elliptic equations; Parabolic equations; Hyperbolic equations.

Adaptive Methods For Partial Differential Equations

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Author :
language : en
Publisher:
Release Date : 1994

Adaptive Methods For Partial Differential Equations written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with categories.

Multilevel Adaptive Methods For Partial Differential Equations

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Author : Stephen F. McCormick
language : en
Publisher: SIAM
Release Date : 1989-01-01

Multilevel Adaptive Methods For Partial Differential Equations written by Stephen F. McCormick and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989-01-01 with Mathematics categories.

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.

Adaptive Methods For Partial Differential Equations

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Author : United States. Army Research Office
language : en
Publisher:
Release Date : 1994

Adaptive Methods For Partial Differential Equations written by United States. Army Research Office and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with categories.

Adaptive Method Of Lines

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Author : A, Vande Wouwer
language : en
Publisher: CRC Press
Release Date : 2001-04-18

Adaptive Method Of Lines written by A, Vande Wouwer and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-04-18 with Mathematics categories.

The general Method of Lines (MOL) procedure provides a flexible format for the solution of all the major classes of partial differential equations (PDEs) and is particularly well suited to evolutionary, nonlinear wave PDEs. Despite its utility, however, there are relatively few texts that explore it at a more advanced level and reflect the method's

Adaptive Methods For Partial Differential Equations Proceedings Of The Workshop On Adaptive Computational Methods For Partial Differential Equations Rensselaer Polytechnic Institute October 13 15 1988

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Author : Joseph E. Flaherty
language : en
Publisher:
Release Date : 1989

Adaptive Methods For Partial Differential Equations Proceedings Of The Workshop On Adaptive Computational Methods For Partial Differential Equations Rensselaer Polytechnic Institute October 13 15 1988 written by Joseph E. Flaherty and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989 with categories.

Modeling Mesh Generation And Adaptive Numerical Methods For Partial Differential Equations

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Author : Ivo Babuska
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Modeling Mesh Generation And Adaptive Numerical Methods For Partial Differential Equations written by Ivo Babuska and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.

With considerations such as complex-dimensional geometries and nonlinearity, the computational solution of partial differential systems has become so involved that it is important to automate decisions that have been normally left to the individual. This book covers such decisions: 1) mesh generation with links to the software generating the domain geometry, 2) solution accuracy and reliability with mesh selection linked to solution generation. This book is suited for mathematicians, computer scientists and engineers and is intended to encourage interdisciplinary interaction between the diverse groups.

Adaptive Finite Element Methods For Differential Equations

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Author : Wolfgang Bangerth
language : en
Publisher: Birkhäuser
Release Date : 2013-11-11

Adaptive Finite Element Methods For Differential Equations written by Wolfgang Bangerth and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11-11 with Mathematics categories.

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.

Final Report

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Author :
language : en
Publisher:
Release Date : 1998

Final Report written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with categories.

OAK-B135 Final Report: Symposium on Adaptive Methods for Partial Differential Equations. Complex physical phenomena often include features that span a wide range of spatial and temporal scales. Accurate simulation of such phenomena can be difficult to obtain, and computations that are under-resolved can even exhibit spurious features. While it is possible to resolve small scale features by increasing the number of grid points, global grid refinement can quickly lead to problems that are intractable, even on the largest available computing facilities. These constraints are particularly severe for three dimensional problems that involve complex physics. One way to achieve the needed resolution is to refine the computational mesh locally, in only those regions where enhanced resolution is required. Adaptive solution methods concentrate computational effort in regions where it is most needed. These methods have been successfully applied to a wide variety of problems in computational science and engineering. Adaptive methods can be difficult to implement, prompting the development of tools and environments to facilitate their use. To ensure that the results of their efforts are useful, algorithm and tool developers must maintain close communication with application specialists. Conversely it remains difficult for application specialists who are unfamiliar with the methods to evaluate the trade-offs between the benefits of enhanced local resolution and the effort needed to implement an adaptive solution method.