Adaptive Moving Mesh Methods

Author : Weizhang Huang,Robert D. Russell
Publisher : Springer Science & Business Media
Page : 446 pages
File Size : 50,9 Mb
Release : 2010-10-26
Category : Mathematics
ISBN : 9781441979162

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Adaptive Moving Mesh Methods by Weizhang Huang,Robert D. Russell Pdf

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.

Author : Ivo Babuska,Joseph E. Flaherty,William D. Henshaw,John E. Hopcroft,Joseph E. Oliger,Tayfun Tezduyar
Publisher : Springer Science & Business Media
Page : 487 pages
File Size : 44,6 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781461242482

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Modeling, Mesh Generation, and Adaptive Numerical Methods for Partial Differential Equations by Ivo Babuska,Joseph E. Flaherty,William D. Henshaw,John E. Hopcroft,Joseph E. Oliger,Tayfun Tezduyar Pdf

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.

Author : International Conference on Recent Advances in Adaptive Computation
Publisher : American Mathematical Soc.
Page : 394 pages
File Size : 54,8 Mb
Release : 2005
Category : Finite element method
ISBN : 9780821836620

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Recent Advances in Adaptive Computation by International Conference on Recent Advances in Adaptive Computation Pdf

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.

Author : A, Vande Wouwer,Ph. Saucez,W.E. Schiesser
Publisher : CRC Press
Page : 432 pages
File Size : 50,9 Mb
Release : 2001-04-18
Category : Mathematics
ISBN : 9781420035612

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Adaptive Method of Lines by A, Vande Wouwer,Ph. Saucez,W.E. Schiesser Pdf

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 current state of development. Written by distinguished researchers in the field, Adaptive Method of Lines reflects the diversity of techniques and applications related to the MOL. Most of its chapters focus on a particular application but also provide a discussion of underlying philosophy and technique. Particular attention is paid to the concept of both temporal and spatial adaptivity in solving time-dependent PDEs. Many important ideas and methods are introduced, including moving grids and grid refinement, static and dynamic gridding, the equidistribution principle and the concept of a monitor function, the minimization of a functional, and the moving finite element method. Applications addressed include shallow water flow, combustion and flame propagation, transport in porous media, gas dynamics, chemical engineering processes, solitary waves, and magnetohydrodynamics. As the first advanced text to represent the modern era of the method of lines, this monograph offers an outstanding opportunity to discover new concepts, learn new techniques, and explore a wide range of applications.

Author : Ivo Babushka,Jagdish Chandra,Joseph E. Flaherty
Publisher : SIAM
Page : 382 pages
File Size : 55,5 Mb
Release : 1989-01-01
Category : Mathematics
ISBN : 0898712424

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Adaptive Methods for Partial Differential Equations by Ivo Babushka,Jagdish Chandra,Joseph E. Flaherty Pdf

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

Author : Maria do Carmo Coimbra,Alirio Egidio Rodrigues,Jaime Duarte Rodrigues,Rui Jorge Mendes Robalo,Rui Manuel Pires Almeida
Publisher : CRC Press
Page : 276 pages
File Size : 55,8 Mb
Release : 2016-11-30
Category : Mathematics
ISBN : 9781498723886

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Moving Finite Element Method by Maria do Carmo Coimbra,Alirio Egidio Rodrigues,Jaime Duarte Rodrigues,Rui Jorge Mendes Robalo,Rui Manuel Pires Almeida Pdf

This book focuses on process simulation in chemical engineering with a numerical algorithm based on the moving finite element method (MFEM). It offers new tools and approaches for modeling and simulating time-dependent problems with moving fronts and with moving boundaries described by time-dependent convection-reaction-diffusion partial differential equations in one or two-dimensional space domains. It provides a comprehensive account of the development of the moving finite element method, describing and analyzing the theoretical and practical aspects of the MFEM for models in 1D, 1D+1d, and 2D space domains. Mathematical models are universal, and the book reviews successful applications of MFEM to solve engineering problems. It covers a broad range of application algorithm to engineering problems, namely on separation and reaction processes presenting and discussing relevant numerical applications of the moving finite element method derived from real-world process simulations.

Author : Taras Gerya
Publisher : Cambridge University Press
Page : 359 pages
File Size : 46,8 Mb
Release : 2010
Category : Mathematics
ISBN : 9780521887540

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Introduction to Numerical Geodynamic Modelling by Taras Gerya Pdf

This user-friendly reference for students and researchers presents the basic mathematical theory, before introducing modelling of key geodynamic processes.

Author : Rubén Sevilla,Simona Perotto,Kenneth Morgan
Publisher : Springer Nature
Page : 328 pages
File Size : 44,7 Mb
Release : 2022-05-18
Category : Mathematics
ISBN : 9783030925406

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Mesh Generation and Adaptation by Rubén Sevilla,Simona Perotto,Kenneth Morgan Pdf

The developments in mesh generation are usually driven by the needs of new applications and/or novel algorithms. The last decade has seen a renewed interest in mesh generation and adaptation by the computational engineering community, due to the challenges introduced by complex industrial problems.Another common challenge is the need to handle complex geometries. Nowadays, it is becoming obvious that geometry should be persistent throughout the whole simulation process. Several methodologies that can carry the geometric information throughout the simulation stage are available, but due to the novelty of these methods, the generation of suitable meshes for these techniques is still the main obstacle for the industrial uptake of this technology.This book will cover different aspects of mesh generation and adaptation, with particular emphasis on cutting-edge mesh generation techniques for advanced discretisation methods and complex geometries.

Author : Ulrich Langer,Marco Discacciati,David E. Keyes,Olof Widlund,Walter Zulehner
Publisher : Springer Science & Business Media
Page : 661 pages
File Size : 50,6 Mb
Release : 2008-01-02
Category : Mathematics
ISBN : 9783540751991

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Domain Decomposition Methods in Science and Engineering XVII by Ulrich Langer,Marco Discacciati,David E. Keyes,Olof Widlund,Walter Zulehner Pdf

Domain decomposition is an active, interdisciplinary research field concerned with the development, analysis, and implementation of coupling and decoupling strategies in mathematical and computational models. This volume contains selected papers presented at the 17th International Conference on Domain Decomposition Methods in Science and Engineering. It presents the newest domain decomposition techniques and examines their use in the modeling and simulation of complex problems.

Author : Palle E. T. J?rgensen,Xiaoping Shen,Chiwang Shu
Publisher : World Scientific
Page : 395 pages
File Size : 46,8 Mb
Release : 2008
Category : Science
ISBN : 9789812707000

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Recent Advances in Computational Sciences by Palle E. T. J?rgensen,Xiaoping Shen,Chiwang Shu Pdf

This book presents state-of-the-art lectures delivered by international academic and industrial experts in the field of computational science and its education, covering a wide spectrum from theory to practice. Topics include new developments in finite element method (FEM), finite volume method and Spline theory, such as Moving Mesh Methods, Galerkin and Discontinuous Galerkin Schemes, Shape Gradient Methods, Mixed FEMs, Superconvergence techniques and Fourier spectral approximations with applications in multidimensional fluid dynamics; Maxwell equations in discrepancy media; and phase-field equations. It also discusses some interesting topics related to Stokes equations, Schr”dinger equations, wavelet analysis and approximation theory. Contemporary teaching issues in curriculum reform also form an integral part of the book.This book will therefore be of significant interest and value to all graduates, research scientists and practitioners facing complex computational problems. Administrators and policymakers will find it is an addition to their mathematics curriculum reform libraries.

Author : Arun K. Saha,Debopam Das,Rajesh Srivastava,P. K. Panigrahi,K. Muralidhar
Publisher : Springer
Page : 1701 pages
File Size : 55,6 Mb
Release : 2016-09-20
Category : Technology & Engineering
ISBN : 9788132227434

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Fluid Mechanics and Fluid Power – Contemporary Research by Arun K. Saha,Debopam Das,Rajesh Srivastava,P. K. Panigrahi,K. Muralidhar Pdf

This volume comprises the proceedings of the 42nd National and 5th International Conference on Fluid Mechanics and Fluid Power held at IIT Kanpur in December, 2014.The conference proceedings encapsulate the best deliberations held during the conference. The diversity of participation in the conference, from academia, industry and research laboratories reflects in the articles appearing in the volume. This contributed volume has articles from authors who have participated in the conference on thematic areas such as Fundamental Issues and Perspectives in Fluid Mechanics; Measurement Techniques and Instrumentation; Computational Fluid Dynamics; Instability, Transition and Turbulence; Turbomachinery; Multiphase Flows; Fluid‐Structure Interaction and Flow‐Induced Noise; Microfluidics; Bio‐inspired Fluid Mechanics; Internal Combustion Engines and Gas Turbines; and Specialized Topics. The contents of this volume will prove useful to researchers from industry and academia alike.

Author : C. S. MacDonald
Publisher : Unknown
Page : 0 pages
File Size : 42,5 Mb
Release : 2018
Category : Electronic
ISBN : OCLC:1417590418

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Efficient Moving Mesh Methods for Q-tensor Models of Liquid Crystals by C. S. MacDonald Pdf

A robust and efficient numerical scheme is then used to solve the system of six coupled partial differential equations which arises from Q-tensor theory. The key novel feature is the use of a full moving mesh partial differential equation (MMPDE) approach to generate an adaptive mesh which accurately resolves important solution features.

Author : Yunqing Huang,Ralf Kornhuber,Olof Widlund,Jinchao Xu
Publisher : Springer Science & Business Media
Page : 472 pages
File Size : 42,7 Mb
Release : 2010-10-27
Category : Mathematics
ISBN : 9783642113048

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Domain Decomposition Methods in Science and Engineering XIX by Yunqing Huang,Ralf Kornhuber,Olof Widlund,Jinchao Xu Pdf

These are the proceedings of the 19th international conference on domain decomposition methods in science and engineering. Domain decomposition methods are iterative methods for solving the often very large linear or nonlinear systems of algebraic equations that arise in various problems in mathematics, computational science, engineering and industry. They are designed for massively parallel computers and take the memory hierarchy of such systems into account. This is essential for approaching peak floating point performance. There is an increasingly well-developed theory which is having a direct impact on the development and improvement of these algorithms.

Author : Xiangmin Jiao,Jean-Christophe Weill
Publisher : Springer Science & Business Media
Page : 603 pages
File Size : 55,9 Mb
Release : 2012-09-13
Category : Technology & Engineering
ISBN : 9783642335730

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Proceedings of the 21st International Meshing Roundtable by Xiangmin Jiao,Jean-Christophe Weill Pdf

This volume contains the articles presented at the 21st International Meshing Roundtable (IMR) organized, in part, by Sandia National Laboratories and was held on October 7–10, 2012 in San Jose, CA, USA. The first IMR was held in 1992, and the conference series has been held annually since. Each year the IMR brings together researchers, developers, and application experts in a variety of disciplines, from all over the world, to present and discuss ideas on mesh generation and related topics. The technical papers in this volume present theoretical and novel ideas and algorithms with practical potential, as well as technical applications in science and engineering, geometric modeling, computer graphics, and visualization.

Author : Rüdiger Verführt
Publisher : Springer
Page : 142 pages
File Size : 40,9 Mb
Release : 1996-07
Category : Technology & Engineering
ISBN : CORNELL:31924084448004

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A Review of A Posteriori Error Estimation and Adaptive Mesh-Refinement Techniques by Rüdiger Verführt Pdf