Characteristics Mapping Methods And Application To Adaptive Moving Mesh
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Characteristics Mapping Methods And Application To Adaptive Moving Mesh
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Author : Xi Yuan Yin
language : en
Publisher:
Release Date : 2016
Characteristics Mapping Methods And Application To Adaptive Moving Mesh written by Xi Yuan Yin and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016 with categories.
"The characteristics mapping method has many applications in numerical mathematics, notably in the simulation of moving surfaces. There are several versions of this method, each adapted to different problems. In this thesis, we present characterisitcs mapping methods used to evolve implicit and parametric surfaces. We also attempt to implement a method designed for the cases where these two types of surfaces are simulated at the same time. Finally, we propose an application of the characteristics mapping methods to the mesh adaptivity problem. This is used to control the quality of the simulations for parametric surfaces." --
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 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 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 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.
Recent Advances In Adaptive Computation
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Author : Zhongci Shi
language : en
Publisher: American Mathematical Soc.
Release Date : 2005
Recent Advances In Adaptive Computation written by Zhongci Shi and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Computers categories.
There has been rapid development in the area of adaptive computation over the past decade. The International Conference on Recent Advances in Adaptive Computation was held at Zhejiang University (Hangzhou, China) to explore these new directions. The conference brought together specialists to discuss modern theories and practical applications of adaptive methods. This volume contains articles reflecting the invited talks given by leading mathematicians at the conference. It is suitable for graduate students and researchers interested in methods of computation.
An Adaptive Moving Mesh Method In Three Dimensions
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Author : Nathaniel Gregg
language : en
Publisher:
Release Date : 2021
An Adaptive Moving Mesh Method In Three Dimensions written by Nathaniel Gregg and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021 with Differential equations, Partial categories.
Partial Differential Equations
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Author : D. Sloan
language : en
Publisher: Elsevier
Release Date : 2012-12-02
Partial Differential Equations written by D. Sloan and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-02 with Mathematics categories.
/homepage/sac/cam/na2000/index.html7-Volume Set now available at special set price ! Over the second half of the 20th century the subject area loosely referred to as numerical analysis of partial differential equations (PDEs) has undergone unprecedented development. At its practical end, the vigorous growth and steady diversification of the field were stimulated by the demand for accurate and reliable tools for computational modelling in physical sciences and engineering, and by the rapid development of computer hardware and architecture. At the more theoretical end, the analytical insight into the underlying stability and accuracy properties of computational algorithms for PDEs was deepened by building upon recent progress in mathematical analysis and in the theory of PDEs. To embark on a comprehensive review of the field of numerical analysis of partial differential equations within a single volume of this journal would have been an impossible task. Indeed, the 16 contributions included here, by some of the foremost world authorities in the subject, represent only a small sample of the major developments. We hope that these articles will, nevertheless, provide the reader with a stimulating glimpse into this diverse, exciting and important field. The opening paper by Thomée reviews the history of numerical analysis of PDEs, starting with the 1928 paper by Courant, Friedrichs and Lewy on the solution of problems of mathematical physics by means of finite differences. This excellent survey takes the reader through the development of finite differences for elliptic problems from the 1930s, and the intense study of finite differences for general initial value problems during the 1950s and 1960s. The formulation of the concept of stability is explored in the Lax equivalence theorem and the Kreiss matrix lemmas. Reference is made to the introduction of the finite element method by structural engineers, and a description is given of the subsequent development and mathematical analysis of the finite element method with piecewise polynomial approximating functions. The penultimate section of Thomée's survey deals with `other classes of approximation methods', and this covers methods such as collocation methods, spectral methods, finite volume methods and boundary integral methods. The final section is devoted to numerical linear algebra for elliptic problems. The next three papers, by Bialecki and Fairweather, Hesthaven and Gottlieb and Dahmen, describe, respectively, spline collocation methods, spectral methods and wavelet methods. The work by Bialecki and Fairweather is a comprehensive overview of orthogonal spline collocation from its first appearance to the latest mathematical developments and applications. The emphasis throughout is on problems in two space dimensions. The paper by Hesthaven and Gottlieb presents a review of Fourier and Chebyshev pseudospectral methods for the solution of hyperbolic PDEs. Particular emphasis is placed on the treatment of boundaries, stability of time discretisations, treatment of non-smooth solutions and multidomain techniques. The paper gives a clear view of the advances that have been made over the last decade in solving hyperbolic problems by means of spectral methods, but it shows that many critical issues remain open. The paper by Dahmen reviews the recent rapid growth in the use of wavelet methods for PDEs. The author focuses on the use of adaptivity, where significant successes have recently been achieved. He describes the potential weaknesses of wavelet methods as well as the perceived strengths, thus giving a balanced view that should encourage the study of wavelet methods.
Mesh Adaptation For Computational Fluid Dynamics Volume 1
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Author : Alain Dervieux
language : en
Publisher: John Wiley & Sons
Release Date : 2022-09-21
Mesh Adaptation For Computational Fluid Dynamics Volume 1 written by Alain Dervieux and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-09-21 with Science categories.
Simulation technology, and computational fluid dynamics (CFD) in particular, is essential in the search for solutions to the modern challenges faced by humanity. Revolutions in CFD over the last decade include the use of unstructured meshes, permitting the modeling of any 3D geometry. New frontiers point to mesh adaptation, allowing not only seamless meshing (for the engineer) but also simulation certification for safer products and risk prediction. Mesh Adaptation for Computational Dynamics 1 is the first of two volumes and introduces basic methods such as feature-based and multiscale adaptation for steady models. Also covered is the continuous Riemannian metrics formulation which models the optimally adapted mesh problem into a pure partial differential statement. A number of mesh adaptative methods are defined based on a particular feature of the simulation solution. This book will be useful to anybody interested in mesh adaptation pertaining to CFD, especially researchers, teachers and students.
Acta Numerica 2009
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Author : Arieh Iserles
language : en
Publisher: Cambridge University Press
Release Date : 2009-05-28
Acta Numerica 2009 written by Arieh Iserles and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-05-28 with Mathematics categories.
A high-impact, prestigious, annual publication featuring invited surveys by subject leaders: essential reading for all practitioners and researchers.