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| Author | : Nathaniel Gregg |
| Publisher | : |
| Total Pages | : 70 |
| Release | : 2021 |
| Genre | : Differential equations, Partial |
| ISBN | : |
| Author | : Weizhang Huang |
| Publisher | : Springer Science & Business Media |
| Total 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.
| Author | : Kelsey Luisa DiPietro |
| Publisher | : |
| Total Pages | : 134 |
| Release | : 2019 |
| Genre | : |
| ISBN | : |
| Author | : Richard Andrew Norton |
| Publisher | : |
| Total Pages | : 135 |
| Release | : 2005 |
| Genre | : Burgers equation |
| ISBN | : |
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.
| Author | : Vladimir D. Liseikin |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 390 |
| Release | : 2009-10-27 |
| Genre | : Science |
| ISBN | : 9048129125 |
This text is an introduction to methods of grid generation technology in scientific computing. Special attention is given to methods developed by the author for the treatment of singularly-perturbed equations, e.g. in modeling high Reynolds number flows. Functionals of conformality, orthogonality, energy and alignment are discussed.
| Author | : Matthijs Sypkens Smit |
| Publisher | : |
| Total Pages | : 61 |
| Release | : 2005 |
| Genre | : |
| ISBN | : |
| Author | : Rüdiger Verführt |
| Publisher | : Springer |
| Total Pages | : 142 |
| Release | : 1996-07 |
| Genre | : Mathematics |
| ISBN | : |
| Author | : Weizhang Huang |
| Publisher | : Springer |
| Total Pages | : 434 |
| Release | : 2010-10-26 |
| Genre | : Mathematics |
| ISBN | : 9781441979162 |
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 | : Anders Logg |
| Publisher | : Springer Science & Business Media |
| Total 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.
| Author | : G.R. Liu |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 497 |
| Release | : 2005-12-05 |
| Genre | : Technology & Engineering |
| ISBN | : 1402034687 |
The finite difference method (FDM) hasbeen used tosolve differential equation systems for centuries. The FDM works well for problems of simple geometry and was widely used before the invention of the much more efficient, robust finite element method (FEM). FEM is now widely used in handling problems with complex geometry. Currently, we are using and developing even more powerful numerical techniques aiming to obtain more accurate approximate solutions in a more convenient manner for even more complex systems. The meshfree or meshless method is one such phenomenal development in the past decade, and is the subject of this book. There are many MFree methods proposed so far for different applications. Currently, three monographs on MFree methods have been published. Mesh Free Methods, Moving Beyond the Finite Element Method d by GR Liu (2002) provides a systematic discussion on basic theories, fundamentals for MFree methods, especially on MFree weak-form methods. It provides a comprehensive record of well-known MFree methods and the wide coverage of applications of MFree methods to problems of solids mechanics (solids, beams, plates, shells, etc.) as well as fluid mechanics. The Meshless Local Petrov-Galerkin (MLPG) Method d by Atluri and Shen (2002) provides detailed discussions of the meshfree local Petrov-Galerkin (MLPG) method and itsvariations. Formulations and applications of MLPG are well addressed in their book.
