An Adaptive Mesh Algorithm For Solving Systems Of The Dependent Partial Differential Equations
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An Adaptive Mesh Algorithm For Solving Systems Of Time Dependent Partial Differential Equations
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Author : David C. Arney
language : en
Publisher:
Release Date : 1985
An Adaptive Mesh Algorithm For Solving Systems Of Time Dependent Partial Differential Equations written by David C. Arney and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985 with categories.
This thesis discusses and adaptive mesh algorithm that can be used with a finite difference or finite element scheme to solve initial-boundary value problems for vector systems of time dependent partial differential equations in two space dimensions. This algorithm combines the adaptive technique of mesh moving, static rezoning, and local mesh refinement. The nodes of a coarse mesh of quadrilateral cells are moved by a simple algebraic node movement function. The local mesh refinement method recursively divides cells of the moving coarse mesh within clustered regions that contain nodes with large error until a user prescribed error tolerance is satisfied. Keywords: Hyperbolic equations; Expert systems; and Computations.
An Adaptive Mesh Algorithm For Solving Systems Of The Dependent Partial Differential Equations
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Author : David Christopher Arney
language : en
Publisher:
Release Date : 1985
An Adaptive Mesh Algorithm For Solving Systems Of The Dependent Partial Differential Equations written by David Christopher Arney and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985 with Algorithms categories.
Adaptive Mesh Algorithm For Solving Systems Of Time Dependent Partial Differential Equations Thesis Ph D Rensselaer Polytechnic Institute 1985
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Author : D.C. ARNEY
language : en
Publisher:
Release Date : 1985
Adaptive Mesh Algorithm For Solving Systems Of Time Dependent Partial Differential Equations Thesis Ph D Rensselaer Polytechnic Institute 1985 written by D.C. ARNEY and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985 with categories.
Adaptive Mesh Methods And Software For Time Dependent Partial Differential Equations
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Author : Shengtai Li
language : en
Publisher:
Release Date : 1998
Adaptive Mesh Methods And Software For Time Dependent Partial Differential Equations written by Shengtai Li 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.
Adaptive Moving Mesh Methods
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Author : Weizhang Huang
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-10-26
Adaptive Moving Mesh Methods written by Weizhang Huang 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 2010-10-26 with Mathematics categories.
This book is about adaptive mesh generation and moving mesh methods for the numerical solution of time-dependent partial differential equations. It presents a general framework and theory for adaptive mesh generation and gives a comprehensive treatment of moving mesh methods and their basic components, along with their application for a number of nontrivial physical problems. Many explicit examples with computed figures illustrate the various methods and the effects of parameter choices for those methods. Graduate students, researchers and practitioners working in this area will benefit from this book.
An Adaptive Mesh Moving And Local Refinement Method For Time Dependent Partial Differential Equations
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Author :
language : en
Publisher:
Release Date : 1990
An Adaptive Mesh Moving And Local Refinement Method For Time Dependent 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 1990 with categories.
We discuss mesh-moving, static mesh regeneration, and local mesh-refinement algorithms that can be used with a finite difference or finite element scheme to solve initial boundary value problems for vector systems of time-dependent partial differential equations in two space dimensions and time. A coarse based mesh of quadrilateral cells is moved by an algebraic mesh-movement function so as to follow and isolate spatially distinct phenomena. The local mesh-refinement method recursively divides the time step and spatial cells of the moving base mesh in regions where error indicators are high until a prescribed tolerance is satisfied. The static mesh-regeneration procedure is used to create a new base mesh when the existing one becomes to distorted. The adaptive methods have been combined with a MacCormack finite difference scheme for hyperbolic systems and an error indicator based upon estimates of the local discretization error obtained by Richardson extrapolation. Results are presented for several computational examples.
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.
A Two Dimensional Mesh Moving Technique For Time Dependent Partial Differential Equations
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Author : D. C. Arney
language : en
Publisher:
Release Date : 1985
A Two Dimensional Mesh Moving Technique For Time Dependent Partial Differential Equations written by D. C. Arney and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985 with categories.
This document discusses an adaptive mesh moving technique that can be used with a finite difference or finite element scheme to solve initial-boundary value problems for vector systems of partial differential equations in two space dimensions. The mesh moving technique is based on an algebraic node movement function determined from the geometry and propagations of regions having significant discretization error indicators. This procedure is designed to be flexible, so that it can be used with many existing finite difference and finite element methods. To test the mesh moving algorithm, it was implemented in a system code with and initial mesh generator and a MacCormack finite difference scheme on quadrilateral cells for hyperbolic vector systems of conservation laws. Results are presented for several computational examples. The moving mesh scheme reduces dispersive errors near shocks and wave fronts and thereby reduces the grid requirements necessary to compute accurate solutions while incereasing computational efficiency. Additional keywords: Error clustering. (Author).
A Mesh Moving Technique For Time Dependent Partial Differential Equations In Two Space Dimensions
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Author : David C. Arney
language : en
Publisher:
Release Date : 198?
A Mesh Moving Technique For Time Dependent Partial Differential Equations In Two Space Dimensions written by David C. Arney and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 198? with Boundary value problems categories.
This article discusses an adaptive mesh moving technique that can be used with a finite difference or finite element scheme to solve initial-boundary value problems for vector systems of partial differential equations in two space dimensions and time. The mesh moving technique is based on an algebraic node movement function determined from the propagation of significant error regions. The algorithms is designed to be flexible, so that it can be used with many existing finite difference and finite element methods. To test the mesh moving algorithm, the authors implemented it in a system code with an initial mesh generator and a MacCormack finite volume scheme on quadralateral cells for hyperbolic vector systems. Results are presented for several computational examples. The moving mesh scheme reduces dispersion errors near shocks and wave fronts and thereby reduces the grid requirements necessary to compute accurate solutions while increasing computational efficiency.
Adaptive Mesh Refinement For Hyperbolic Partial Differential Equations
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Author : Marsha J. Berger
language : en
Publisher:
Release Date : 1982
Adaptive Mesh Refinement For Hyperbolic Partial Differential Equations written by Marsha J. Berger and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1982 with Difference equations categories.
The authors present an adaptive method based on the idea of multiple, component grids for the solution of hyperbolic partial differential equations using finite difference techniques. Based upon Richardson-type estimates of the truncation error, refined grids are created or existing ones removed to attain a given accuracy for a minimum amount of work. Their approach is recursive in that fine grids can themselves contain even finer grids. The grids with finer mesh width in space also have a smaller mesh width in time, making this a mesh refinement algorithm in time and space. This document includes algorithm, data structures and grid generation procedure, and concludes with numerical examples in one and two space dimensions. (Author).