Adaptive Mesh Refinement Theory And Applications


Adaptive Mesh Refinement Theory And Applications
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Adaptive Mesh Refinement Theory And Applications


Adaptive Mesh Refinement Theory And Applications
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Author : Tomasz Plewa
language : en
Publisher: Springer Science & Business Media
Release Date : 2005-12-20

Adaptive Mesh Refinement Theory And Applications written by Tomasz Plewa 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 2005-12-20 with Mathematics categories.


Advanced numerical simulations that use adaptive mesh refinement (AMR) methods have now become routine in engineering and science. Originally developed for computational fluid dynamics applications these methods have propagated to fields as diverse as astrophysics, climate modeling, combustion, biophysics and many others. The underlying physical models and equations used in these disciplines are rather different, yet algorithmic and implementation issues facing practitioners are often remarkably similar. Unfortunately, there has been little effort to review the advances and outstanding issues of adaptive mesh refinement methods across such a variety of fields. This book attempts to bridge this gap. The book presents a collection of papers by experts in the field of AMR who analyze past advances in the field and evaluate the current state of adaptive mesh refinement methods in scientific computing.



Structured Adaptive Mesh Refinement Samr Grid Methods


Structured Adaptive Mesh Refinement Samr Grid Methods
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Author : Scott B. Baden
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Structured Adaptive Mesh Refinement Samr Grid Methods written by Scott B. Baden 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.


The papers presented here describe research to improve the general understanding of the application of SAMR to practical problems, to identify issues critical to efficient and effective implementation on high performance computers and to stimulate the development of a community code repository for software including benchmarks to assist in the evaluation of software and compiler technologies. The ten chapters have been divided into two parts reflecting two major issues in the topic: programming complexity of SAMR algorithms and the applicability and numerical challenges of SAMR methods.



Adaptive Mesh Refinement For Time Domain Numerical Electromagnetics


Adaptive Mesh Refinement For Time Domain Numerical Electromagnetics
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Author : Costas D. Sarris
language : en
Publisher: Morgan & Claypool
Release Date : 2007

Adaptive Mesh Refinement For Time Domain Numerical Electromagnetics written by Costas D. Sarris and has been published by Morgan & Claypool this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with Science categories.


Therefore, they are excellent computer analysis and design (CAD) tools. The book starts by introducing the FDTD technique, along with challenges related to its application to the analysis of real-life microwave and optical structures. It then proceeds to developing an adaptive mesh refinement method based on the use of multiresolution analysis and, more specifically, the Haar wavelet basis. Furthermore, a new method to embed a moving adaptive mesh in FDTD, the dynamically adaptive mesh refinement (AMR) FDTD technique, is introduced and explained in detail. To highlight the properties of the theoretical tools developed in the text, a number of applications are presented, including: Microwave integrated circuits (microstrip filters, couplers, spiral inductors, cavities); Optical power splitters, Y-junctions, and couplers; Optical ring resonators; Nonlinear optical waveguides.



Adaptive Methods Algorithms Theory And Applications


Adaptive Methods Algorithms Theory And Applications
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Author : W. Hackbusch
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-11-21

Adaptive Methods Algorithms Theory And Applications written by W. Hackbusch 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 2013-11-21 with Computers categories.


The GAMM Committee for "Efficient Numerical Methods for Partial Differential Equations" organizes workshops on subjects concerning the algorithmical treat ment of partial differential equations. The topics are discretization methods like the finite element and finite volume method for various types of applications in structural and fluid mechanics. Particular attention is devoted to advanced solu tion techniques. th The series of such workshops was continued in 1993, January 22-24, with the 9 Kiel-Seminar on the special topic "Adaptive Methods Algorithms, Theory and Applications" at the Christian-Albrechts-University of Kiel. The seminar was attended by 76 scientists from 7 countries and 23 lectures were given. The list of topics contained general lectures on adaptivity, special discretization schemes, error estimators, space-time adaptivity, adaptive solvers, multi-grid me thods, wavelets, and parallelization. Special thanks are due to Michael Heisig, who carefully compiled the contribu tions to this volume. November 1993 Wolfgang Hackbusch Gabriel Wittum v Contents Page A. AUGE, G. LUBE, D. WEISS: Galerkin/Least-Squares-FEM and Ani- tropic Mesh Refinement. 1 P. BASTIAN, G. WmUM : Adaptive Multigrid Methods: The UG Concept. 17 R. BEINERT, D. KRONER: Finite Volume Methods with Local Mesh Alignment in 2-D. 38 T. BONK: A New Algorithm for Multi-Dimensional Adaptive Nume- cal Quadrature. 54 F.A. BORNEMANN: Adaptive Solution of One-Dimensional Scalar Conservation Laws with Convex Flux. 69 J. CANU, H. RITZDORF : Adaptive, Block-Structured Multigrid on Local Memory Machines. 84 S. DAHLKE, A. KUNaTH: Biorthogonal Wavelets and Multigrid. 99 B. ERDMANN, R.H.W. HOPPE, R.



Accuracy Estimates And Adaptive Refinements In Finite Element Computations


Accuracy Estimates And Adaptive Refinements In Finite Element Computations
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Author : Ivo Babuška
language : en
Publisher: John Wiley & Sons
Release Date : 1986

Accuracy Estimates And Adaptive Refinements In Finite Element Computations written by Ivo Babuška 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 1986 with Engineering mathematics categories.


This book contains papers discussing the recent developments in adaptive methods and their applications, an area of finite elements methods applicable to the needs of civil engineering. Topics covered range from an exposition of basic theory and techniques to detailed discussions of specific applications. Adaptive approaches, and the computer assessment of the reliability of the results obtained are also examined.



Parallel Computational Fluid Dynamics 2005


Parallel Computational Fluid Dynamics 2005
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Author : A. Deane
language : en
Publisher: Elsevier
Release Date : 2006-09-06

Parallel Computational Fluid Dynamics 2005 written by A. Deane and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-09-06 with Science categories.


The proceedings from Parallel CFD 2005 covering all aspects of the theory and applications of parallel computational fluid dynamics from the traditional to the more contemporary issues. - Report on current research in the field in an area which is rapidly changing - Subject is important to all interested in solving large fluid dynamics problems - Interdisciplinary activity. Contributions include scientists with a variety of backgrounds



Costs And Savings Of Adaptive Mesh Refinement


Costs And Savings Of Adaptive Mesh Refinement
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Author : Ragnhild Blikberg
language : en
Publisher:
Release Date : 2001

Costs And Savings Of Adaptive Mesh Refinement written by Ragnhild Blikberg and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with categories.




Local Mesh Refinement In Com3d For Combustion Simulation


Local Mesh Refinement In Com3d For Combustion Simulation
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Author : Ren, Ke
language : en
Publisher: KIT Scientific Publishing
Release Date : 2014-08-05

Local Mesh Refinement In Com3d For Combustion Simulation written by Ren, Ke and has been published by KIT Scientific Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-08-05 with categories.




The Finite Element Method In The 1990 S


The Finite Element Method In The 1990 S
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Author : E. Oñate
language : en
Publisher: Springer
Release Date : 1991

The Finite Element Method In The 1990 S written by E. Oñate and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with Mathematics categories.




Cartesian Cfd Methods For Complex Applications


Cartesian Cfd Methods For Complex Applications
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Author : Ralf Deiterding
language : en
Publisher: Springer Nature
Release Date : 2021-04-03

Cartesian Cfd Methods For Complex Applications written by Ralf Deiterding and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-04-03 with Mathematics categories.


This volume collects the most important contributions from four minisymposia from ICIAM 2019. The papers highlight cutting-edge applications of Cartesian CFD methods and describe the employed algorithms and numerical schemes. An emphasis is laid on complex multi-physics applications like magnetohydrodynamics, combustion, aerodynamics with fluid-structure interaction, solved with various discretizations, e.g. finite difference, finite volume, multiresolution or lattice Boltzmann CFD schemes. Software design aspects and parallelization challenges are also considered. The book is addressed to graduate students and scientists in the fields of applied mathematics and computational engineering.