Adaptive Moving Mesh Methods For Partial Differential Equations
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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.
Adaptive Moving Mesh Methods For Partial Differential Equations
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Author : Kelsey Luisa DiPietro
language : en
Publisher:
Release Date : 2019
Adaptive Moving Mesh Methods For Partial Differential Equations written by Kelsey Luisa DiPietro and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019 with categories.
Adaptive Moving Mesh Methods For Partial Differential Equations
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Author : J. M. Hyman
language : en
Publisher:
Release Date : 1983
Adaptive Moving Mesh Methods For Partial Differential Equations written by J. M. Hyman and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1983 with categories.
Adaptive Moving Mesh Methods
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Author : Weizhang Huang
language : en
Publisher: Springer
Release Date : 2012-12-01
Adaptive Moving Mesh Methods written by Weizhang Huang and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-01 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.
Adaptive Moving Mesh Methods
DOWNLOAD
Author : Weizhang Huang
language : en
Publisher: Springer
Release Date : 2010-10-26
Adaptive Moving Mesh Methods written by Weizhang Huang and has been published by Springer 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.
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.
Various Moving Mesh Methods
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Author : Richard Andrew Norton
language : en
Publisher:
Release Date : 2005
Various Moving Mesh Methods written by Richard Andrew Norton and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Burgers equation categories.
As well as presenting the basic finite element method, this thesis presents two adaptive moving mesh methods: the moving finite element method and a class of methods based on the equidistribution principle, the so called moving mesh partial differential equations. One and two dimensional examples are given for the finite element and moving finite element methods and the one dimensional Burger's equation is successfully solved using the moving mesh partial differential equations. The code for the computer programs, written in C, that solve all the example problems is also given.
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.
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.
Moving Mesh Methods For Solving Parabolic Partial Differential Equations
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Author : Robert Marlow
language : en
Publisher:
Release Date : 2010
Moving Mesh Methods For Solving Parabolic Partial Differential Equations written by Robert Marlow and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with categories.
In this thesis, we introduce and assess a new adaptive method for solving non-linear parabolic partial differential equations with fixed or moving boundaries, using a moving mesh with continuous finite elements. The evolution of the mesh within the interior of the spatial domain is based upon conserving the distribution of a chosen monitor function across the domain throughout time, where the initial distribution is based upon the given initial data. For the moving boundary cases, the mesh movement at the boundary is governed by a second monitor function. The method is applied with different monitor functions, to the semilinear heat equation in one space dimension, and the porous medium equation in one and two space dimensions. The effects of optimising initial data for chosen monitors will be considered - in these cases, maintaining the initial distribution amounts to equidistribution. A quantification of the effects of a mesh moving away from an equidistribution are considered here, also the effects of tangling, and then untangling a mesh and restarting.