Moving Finite Element Method
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Author | : Maria do Carmo Coimbra |
Publisher | : CRC Press |
Total Pages | : 276 |
Release | : 2016-11-30 |
Genre | : Mathematics |
ISBN | : 1498723888 |
Download Moving Finite Element Method Book in PDF, Epub and Kindle
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 | : G.R. Liu |
Publisher | : CRC Press |
Total Pages | : 715 |
Release | : 2002-07-29 |
Genre | : Mathematics |
ISBN | : 1420040588 |
Download Mesh Free Methods Book in PDF, Epub and Kindle
As we attempt to solve engineering problems of ever increasing complexity, so must we develop and learn new methods for doing so. The Finite Difference Method used for centuries eventually gave way to Finite Element Methods (FEM), which better met the demands for flexibility, effectiveness, and accuracy in problems involving complex geometry. Now,
Author | : Edmund Wittbrodt |
Publisher | : Springer Science & Business Media |
Total Pages | : 229 |
Release | : 2007-04-17 |
Genre | : Technology & Engineering |
ISBN | : 354032352X |
Download Dynamics of Flexible Multibody Systems Book in PDF, Epub and Kindle
A new approach is presented in this book for modelling multi-body systems, which constitutes a substantial enhancement of the Rigid Finite Element method. The new approach is based on homogeneous transformations and joint coordinates. Apart from its simple physical interpretation and easy computer implementation, the method is also valuable for educational purposes since it impressively illustrates the impact of mechanical features on the mathematical model.
Author | : G.R. Liu |
Publisher | : CRC Press |
Total Pages | : 772 |
Release | : 2009-10-06 |
Genre | : Mathematics |
ISBN | : 1420082108 |
Download Meshfree Methods Book in PDF, Epub and Kindle
Understand How to Use and Develop Meshfree TechniquesAn Update of a Groundbreaking WorkReflecting the significant advances made in the field since the publication of its predecessor, Meshfree Methods: Moving Beyond the Finite Element Method, Second Edition systematically covers the most widely used meshfree methods. With 70% new material, this edit
Author | : G.R. Liu |
Publisher | : Elsevier |
Total Pages | : 365 |
Release | : 2003-02-21 |
Genre | : Mathematics |
ISBN | : 0080472761 |
Download Finite Element Method Book in PDF, Epub and Kindle
The Finite Element Method (FEM) has become an indispensable technology for the modelling and simulation of engineering systems. Written for engineers and students alike, the aim of the book is to provide the necessary theories and techniques of the FEM for readers to be able to use a commercial FEM package to solve primarily linear problems in mechanical and civil engineering with the main focus on structural mechanics and heat transfer. Fundamental theories are introduced in a straightforward way, and state-of-the-art techniques for designing and analyzing engineering systems, including microstructural systems are explained in detail. Case studies are used to demonstrate these theories, methods, techniques and practical applications, and numerous diagrams and tables are used throughout. The case studies and examples use the commercial software package ABAQUS, but the techniques explained are equally applicable for readers using other applications including NASTRAN, ANSYS, MARC, etc. A practical and accessible guide to this complex, yet important subject Covers modeling techniques that predict how components will operate and tolerate loads, stresses and strains in reality
Author | : Science Applications International Corporation |
Publisher | : |
Total Pages | : |
Release | : 1985 |
Genre | : |
ISBN | : |
Download Applications of the Moving Finite Element Method for Systems in 2-D. Book in PDF, Epub and Kindle
Author | : Gilbert Strang |
Publisher | : Wellesley-Cambridge Press |
Total Pages | : 0 |
Release | : 2018-02-08 |
Genre | : Mathematics |
ISBN | : 9780980232783 |
Download An Analysis of the Finite Element Method Book in PDF, Epub and Kindle
This second edition has two parts. The first part is the complete classic by Gilbert Strang and George Fix, first published in 1973. The original book demonstrates the solid mathematical foundation of the finite element idea, and the reasons for its success. The second part is a new textbook by Strang. It provides examples, codes, and exercises to connect the theory of the Finite Element Method directly to the applications. The reader will learn how to assemble the stiffness matrix K and solve the finite element equations KU=F. Discontinuous Galerkin methods with a numerical flux function are now included. Strang's approach is direct and focuses on learning finite elements by using them.
Author | : Michael John Baines |
Publisher | : Oxford University Press on Demand |
Total Pages | : 226 |
Release | : 1994 |
Genre | : Literary Criticism |
ISBN | : 9780198534679 |
Download Moving Finite Elements Book in PDF, Epub and Kindle
This book is mainly concerned with finite element methods for time-dependent partial differential equations when the grids are allowed to move in time, but also describes grid generation techniques which include grid adjustment. The mechanism for grid movement derives from a generalization ofthe residual minimization technique which is familiar from the Galerkin finite element method. The book brings together most of the work done over the last decade or so which has been stimulated by Miller's original idea, and discusses the interrelationships between the techniques of the method andthe established ideas of the method of characteristics, Hamilton's equations, the Legendre transformation, and grid equidistribution. The book highlights the issues involved and should provide the reader with a clear view of the current state of the subject and prompt further research.
Author | : Sohail Aslam |
Publisher | : |
Total Pages | : 122 |
Release | : 1985 |
Genre | : Differential equations, Partial |
ISBN | : |
Download The Moving Finite Element Method for Solving Partial Differential Equations Book in PDF, Epub and Kindle
Author | : Alik Ismail-Zadeh |
Publisher | : Cambridge University Press |
Total Pages | : 333 |
Release | : 2010-07-22 |
Genre | : Science |
ISBN | : 1139489356 |
Download Computational Methods for Geodynamics Book in PDF, Epub and Kindle
Written as both a textbook and a handy reference, this text deliberately avoids complex mathematics assuming only basic familiarity with geodynamic theory and calculus. Here, the authors have brought together the key numerical techniques for geodynamic modeling, demonstrations of how to solve problems including lithospheric deformation, mantle convection and the geodynamo. Building from a discussion of the fundamental principles of mathematical and numerical modeling, the text moves into critical examinations of each of the different techniques before concluding with a detailed analysis of specific geodynamic applications. Key differences between methods and their respective limitations are also discussed - showing readers when and how to apply a particular method in order to produce the most accurate results. This is an essential text for advanced courses on numerical and computational modeling in geodynamics and geophysics, and an invaluable resource for researchers looking to master cutting-edge techniques. Links to supplementary computer codes are available online.