Numerical Analysis Of Nonlinear Coupled Problems

Author : Hany Shehata,Youssef Rashed
Publisher : Springer
Page : 354 pages
File Size : 51,9 Mb
Release : 2017-07-11
Category : Science
ISBN : 9783319619057

Get Book

Numerical Analysis of Nonlinear Coupled Problems by Hany Shehata,Youssef Rashed Pdf

This volume deals with numerical simulation of coupled problems in soil mechanics and foundations. It contains analysis of both shallow and deep foundations. Several nonlinear problems are considered including, soil plasticity, cracking, reaching the soil bearing capacity, creep, etc. Dynamic analysis together with stability analysis are also included. Several numerical models of dams are considered together with coupled problems in soil mechanics and foundations. It gives wide range of modelling soil in different parts of the world. This volume is part of the proceedings of the 1st GeoMEast International Congress and Exhibition on Sustainable Civil Infrastructures, Egypt 2017.

Author : Hany Shehata
Publisher : Unknown
Page : 128 pages
File Size : 48,7 Mb
Release : 2018
Category : Electronic book
ISBN : OCLC:1066465047

Get Book

Numerical Analysis of Nonlinear Coupled Problems Proceedings of the 1st GeoMEast International Congress and Exhibition, Egypt 2017 on Sustainable Civil Infrastructures by Hany Shehata Pdf

Author : Roland W. Lewis
Publisher : Unknown
Page : 384 pages
File Size : 55,8 Mb
Release : 1987-05-08
Category : Mathematics
ISBN : UOM:39015012449636

Get Book

Numerical Methods for Transient and Coupled Problems by Roland W. Lewis Pdf

This edited volume describes the latest developments in the use of numerical techniques for the solution of problems in transient and coupled systems.

Author : Roland Glowinski
Publisher : Springer Science & Business Media
Page : 506 pages
File Size : 42,8 Mb
Release : 2013-06-29
Category : Science
ISBN : 9783662126134

Get Book

Numerical Methods for Nonlinear Variational Problems by Roland Glowinski Pdf

This book describes the mathematical background and reviews the techniques for solving problems, including those that require large computations such as transonic flows for compressible fluids and the Navier-Stokes equations for incompressible viscous fluids. Finite element approximations and non-linear relaxation, and nonlinear least square methods are all covered in detail, as are many applications. This volume is a classic in a long-awaited softcover re-edition.

Author : John R. Hauser
Publisher : Springer Science & Business Media
Page : 1013 pages
File Size : 42,5 Mb
Release : 2009-03-24
Category : Technology & Engineering
ISBN : 9781402099205

Get Book

Numerical Methods for Nonlinear Engineering Models by John R. Hauser Pdf

There are many books on the use of numerical methods for solving engineering problems and for modeling of engineering artifacts. In addition there are many styles of such presentations ranging from books with a major emphasis on theory to books with an emphasis on applications. The purpose of this book is hopefully to present a somewhat different approach to the use of numerical methods for - gineering applications. Engineering models are in general nonlinear models where the response of some appropriate engineering variable depends in a nonlinear manner on the - plication of some independent parameter. It is certainly true that for many types of engineering models it is sufficient to approximate the real physical world by some linear model. However, when engineering environments are pushed to - treme conditions, nonlinear effects are always encountered. It is also such - treme conditions that are of major importance in determining the reliability or failure limits of engineering systems. Hence it is essential than engineers have a toolbox of modeling techniques that can be used to model nonlinear engineering systems. Such a set of basic numerical methods is the topic of this book. For each subject area treated, nonlinear models are incorporated into the discussion from the very beginning and linear models are simply treated as special cases of more general nonlinear models. This is a basic and fundamental difference in this book from most books on numerical methods.

Author : Bilen Emek Abali
Publisher : Springer
Page : 308 pages
File Size : 50,9 Mb
Release : 2016-10-22
Category : Science
ISBN : 9789811024443

Get Book

Computational Reality by Bilen Emek Abali Pdf

This book presents the theory of continuum mechanics for mechanical, thermodynamical, and electrodynamical systems. It shows how to obtain governing equations and it applies them by computing the reality. It uses only open-source codes developed under the FEniCS project and includes codes for 20 engineering applications from mechanics, fluid dynamics, applied thermodynamics, and electromagnetism. Moreover, it derives and utilizes the constitutive equations including coupling terms, which allow to compute multiphysics problems by incorporating interactions between primitive variables, namely, motion, temperature, and electromagnetic fields. An engineering system is described by the primitive variables satisfying field equations that are partial differential equations in space and time. The field equations are mostly coupled and nonlinear, in other words, difficult to solve. In order to solve the coupled, nonlinear system of partial differential equations, the book uses a novel collection of open-source packages developed under the FEniCS project. All primitive variables are solved at once in a fully coupled fashion by using finite difference method in time and finite element method in space.

Author : Milan Kubicek,Vladimir Hlavacek
Publisher : Courier Corporation
Page : 338 pages
File Size : 53,5 Mb
Release : 2008-01-01
Category : Mathematics
ISBN : 9780486463001

Get Book

Numerical Solution of Nonlinear Boundary Value Problems with Applications by Milan Kubicek,Vladimir Hlavacek Pdf

A survey of the development, analysis, and application of numerical techniques in solving nonlinear boundary value problems, this text presents numerical analysis as a working tool for physicists and engineers. Starting with a survey of accomplishments in the field, it explores initial and boundary value problems for ordinary differential equations, linear boundary value problems, and the numerical realization of parametric studies in nonlinear boundary value problems. The authors--Milan Kubicek, Professor at the Prague Institute of Chemical Technology, and Vladimir Hlavacek, Professor at the University of Buffalo--emphasize the description and straightforward application of numerical techniques rather than underlying theory. This approach reflects their extensive experience with the application of diverse numerical algorithms.

Author : Ernest Hinton,P. Bettess,Roland Wynne Lewis
Publisher : Unknown
Page : 1064 pages
File Size : 42,7 Mb
Release : 1981
Category : Mathematics
ISBN : STANFORD:36105030610120

Get Book

Numerical Methods for Coupled Problems by Ernest Hinton,P. Bettess,Roland Wynne Lewis Pdf

Author : A. Cuyt,L. Wuytack
Publisher : Elsevier
Page : 277 pages
File Size : 43,6 Mb
Release : 1987-03-01
Category : Mathematics
ISBN : 0080872476

Get Book

Nonlinear Methods in Numerical Analysis by A. Cuyt,L. Wuytack Pdf

While most textbooks on Numerical Analysis discuss linear techniques for the solution of various numerical problems, this book introduces and illustrates nonlinear methods. It presents several nonlinear techniques resulting mainly from the use of Padé approximants and rational interpolants.

Author : Juergen Geiser
Publisher : CRC Press
Page : 315 pages
File Size : 46,6 Mb
Release : 2014-02-14
Category : Mathematics
ISBN : 9781466578029

Get Book

Coupled Systems by Juergen Geiser Pdf

Efficient Methods to Solve Complex Coupled Systems Coupled Systems: Theory, Models, and Applications in Engineering explains how to solve complicated coupled models in engineering using analytical and numerical methods. It presents splitting multiscale methods to solve multiscale and multiphysics problems and describes analytical and numerical methods in time and space for evolution equations arising in engineering problems. The book discusses the effectiveness, simplicity, stability, and consistency of the methods in solving problems that occur in real-life engineering tasks. It shows how MATLAB® and Simulink® are used to implement the methods. The author also covers the coupling of separate, multiple, and logical scales in applications, including microscale, macroscale, multiscale, and multiphysics problems. Covering mathematical, algorithmic, and practical aspects, this book brings together innovative ideas in coupled systems and extends standard engineering tools to coupled models in materials and flow problems with respect to their scale dependencies and their influence on each time and spatial scale.

Author : Christopher T. H. Baker,Chris Phillips
Publisher : Oxford University Press, USA
Page : 392 pages
File Size : 45,7 Mb
Release : 1981
Category : Boundary value problems
ISBN : UCAL:B4980150

Get Book

The Numerical Solution of Nonlinear Problems by Christopher T. H. Baker,Chris Phillips Pdf

Author : R. Glowinski
Publisher : Springer
Page : 266 pages
File Size : 40,7 Mb
Release : 1980
Category : Calculus of variations
ISBN : CORNELL:31924001466808

Get Book

Lectures on Numerical Methods for Non-linear Variational Problems by R. Glowinski Pdf

Author : Werner C. Rheinbolt
Publisher : Wiley-Interscience
Page : 326 pages
File Size : 41,7 Mb
Release : 1986
Category : Mathematics
ISBN : UCAL:B4405940

Get Book

Numerical Analysis of Parameterized Nonlinear Equations by Werner C. Rheinbolt Pdf

One of the leading experts in the field discusses recent developments in the numerical analysis of nonlinear equations involving a finite number of parameters. Shows how these equations can be developed on a differential geometric basis. Topics include equilibrium manifolds, path-tracing on manifolds, aspects of computational stability analysis, discretization errors of parameterized equations, and computational error assessment and related questions.

Author : J. E. Dennis, Jr.,Robert B. Schnabel
Publisher : SIAM
Page : 394 pages
File Size : 48,6 Mb
Release : 1996-12-01
Category : Mathematics
ISBN : 1611971209

Get Book

Numerical Methods for Unconstrained Optimization and Nonlinear Equations by J. E. Dennis, Jr.,Robert B. Schnabel Pdf

This book has become the standard for a complete, state-of-the-art description of the methods for unconstrained optimization and systems of nonlinear equations. Originally published in 1983, it provides information needed to understand both the theory and the practice of these methods and provides pseudocode for the problems. The algorithms covered are all based on Newton's method or "quasi-Newton" methods, and the heart of the book is the material on computational methods for multidimensional unconstrained optimization and nonlinear equation problems. The republication of this book by SIAM is driven by a continuing demand for specific and sound advice on how to solve real problems. The level of presentation is consistent throughout, with a good mix of examples and theory, making it a valuable text at both the graduate and undergraduate level. It has been praised as excellent for courses with approximately the same name as the book title and would also be useful as a supplemental text for a nonlinear programming or a numerical analysis course. Many exercises are provided to illustrate and develop the ideas in the text. A large appendix provides a mechanism for class projects and a reference for readers who want the details of the algorithms. Practitioners may use this book for self-study and reference. For complete understanding, readers should have a background in calculus and linear algebra. The book does contain background material in multivariable calculus and numerical linear algebra.

Author : Sergio R. Idelsohn
Publisher : Springer
Page : 0 pages
File Size : 53,6 Mb
Release : 2016-09-17
Category : Technology & Engineering
ISBN : 3319381083

Get Book

Numerical Simulations of Coupled Problems in Engineering by Sergio R. Idelsohn Pdf

This book presents and discusses mathematical models, numerical methods and computational techniques used for solving coupled problems in science and engineering. It takes a step forward in the formulation and solution of real-life problems with a multidisciplinary vision, accounting for all of the complex couplings involved in the physical description. Simulation of multifaceted physics problems is a common task in applied research and industry. Often a suitable solver is built by connecting together several single-aspect solvers into a network. In this book, research in various fields was selected for consideration: adaptive methodology for multi-physics solvers, multi-physics phenomena and coupled-field solutions, leading to computationally intensive structural analysis. The strategies which are used to keep these problems computationally affordable are of special interest, and make this an essential book.