Adaptive Moving Mesh Methods
Title | Adaptive Moving Mesh Methods PDF eBook |
Author | Weizhang Huang |
Publisher | Springer Science & Business Media |
Pages | 446 |
Release | 2010-10-26 |
Genre | Mathematics |
ISBN | 1441979166 |
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
Title | Adaptive Moving Mesh Methods PDF eBook |
Author | Weizhang Huang |
Publisher | Springer |
Pages | 434 |
Release | 2012-12-01 |
Genre | Mathematics |
ISBN | 9781461427087 |
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.
Modeling, Mesh Generation, and Adaptive Numerical Methods for Partial Differential Equations
Title | Modeling, Mesh Generation, and Adaptive Numerical Methods for Partial Differential Equations PDF eBook |
Author | Ivo Babuska |
Publisher | Springer Science & Business Media |
Pages | 487 |
Release | 2012-12-06 |
Genre | Mathematics |
ISBN | 1461242487 |
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.
Meshfree Approximation Methods with MATLAB
Title | Meshfree Approximation Methods with MATLAB PDF eBook |
Author | Gregory E. Fasshauer |
Publisher | World Scientific |
Pages | 520 |
Release | 2007 |
Genre | Technology & Engineering |
ISBN | 981270633X |
Meshfree approximation methods are a relatively new area of research. This book provides the salient theoretical results needed for a basic understanding of meshfree approximation methods. It places emphasis on a hands-on approach that includes MATLAB routines for all basic operations.
Introduction to Numerical Geodynamic Modelling
Title | Introduction to Numerical Geodynamic Modelling PDF eBook |
Author | Taras Gerya |
Publisher | Cambridge University Press |
Pages | 359 |
Release | 2010 |
Genre | Mathematics |
ISBN | 0521887542 |
This user-friendly reference for students and researchers presents the basic mathematical theory, before introducing modelling of key geodynamic processes.
A Review of A Posteriori Error Estimation and Adaptive Mesh-Refinement Techniques
Title | A Review of A Posteriori Error Estimation and Adaptive Mesh-Refinement Techniques PDF eBook |
Author | Rüdiger Verführt |
Publisher | Springer |
Pages | 142 |
Release | 1996-07 |
Genre | Mathematics |
ISBN |
Automated Solution of Differential Equations by the Finite Element Method
Title | Automated Solution of Differential Equations by the Finite Element Method PDF eBook |
Author | Anders Logg |
Publisher | Springer Science & Business Media |
Pages | 723 |
Release | 2012-02-24 |
Genre | Computers |
ISBN | 3642230997 |
This book is a tutorial written by researchers and developers behind the FEniCS Project and explores an advanced, expressive approach to the development of mathematical software. The presentation spans mathematical background, software design and the use of FEniCS in applications. Theoretical aspects are complemented with computer code which is available as free/open source software. The book begins with a special introductory tutorial for beginners. Following are chapters in Part I addressing fundamental aspects of the approach to automating the creation of finite element solvers. Chapters in Part II address the design and implementation of the FEnicS software. Chapters in Part III present the application of FEniCS to a wide range of applications, including fluid flow, solid mechanics, electromagnetics and geophysics.