Numerical Methods For Coupled Problems

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Numerical Simulations of Coupled Problems in Engineering

Author : Sergio R. Idelsohn
Publisher : Springer
ISBN 13 : 3319061364
Total Pages : 417 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis Numerical Simulations of Coupled Problems in Engineering by : Sergio R. Idelsohn

Download or read book Numerical Simulations of Coupled Problems in Engineering written by Sergio R. Idelsohn and published by Springer. This book was released on 2014-05-09 with total page 417 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Advances in Computational Nonlinear Mechanics

Author : I.S. Doltsinis
Publisher : Springer
ISBN 13 : 3709128285
Total Pages : 248 pages
Book Rating : 4.7/5 (91 download)

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Book Synopsis Advances in Computational Nonlinear Mechanics by : I.S. Doltsinis

Download or read book Advances in Computational Nonlinear Mechanics written by I.S. Doltsinis and published by Springer. This book was released on 2014-05-04 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt: Advanced computational methods in nonlinear mechanics of solids and fluids are dealt with in this volume. Contributions consider large deformations of structures and solids, problems in nonlinear dynamics, aspects of earthquake analysis, coupled problems, convection-dominated phenomena, and compressible and incompressible viscous flows. Selected applications indicate the relevance of the analysis to the demands of industry and science. The contributors are from research institutions well-known for their work in this field.

Numerical Methods in Coupled Systems

Author : Roland W. Lewis
Publisher :
ISBN 13 :
Total Pages : 640 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Numerical Methods in Coupled Systems by : Roland W. Lewis

Download or read book Numerical Methods in Coupled Systems written by Roland W. Lewis and published by . This book was released on 1984-05-11 with total page 640 pages. Available in PDF, EPUB and Kindle. Book excerpt: The only book devoted entirely to coupled systems. It presents a unified and systematic approach to the subject, covering fluid-structure interaction, coupled numerical techniques, structure-structure interaction, geotechnical and electro-magnetic couplings, and much more. This topic will become increasingly important and this volume is significant as a guide to recent developments in the analysis of coupled systems.

Computational Partial Differential Equations

Author : Hans Petter Langtangen
Publisher : Springer Science & Business Media
ISBN 13 : 3662011700
Total Pages : 704 pages
Book Rating : 4.6/5 (62 download)

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Book Synopsis Computational Partial Differential Equations by : Hans Petter Langtangen

Download or read book Computational Partial Differential Equations written by Hans Petter Langtangen and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 704 pages. Available in PDF, EPUB and Kindle. Book excerpt: Targeted at students and researchers in computational sciences who need to develop computer codes for solving PDEs, the exposition here is focused on numerics and software related to mathematical models in solid and fluid mechanics. The book teaches finite element methods, and basic finite difference methods from a computational point of view, with the main emphasis on developing flexible computer programs, using the numerical library Diffpack. Diffpack is explained in detail for problems including model equations in applied mathematics, heat transfer, elasticity, and viscous fluid flow. All the program examples, as well as Diffpack for use with this book, are available on the Internet. XXXXXXX NEUER TEXT This book is for researchers who need to develop computer code for solving PDEs. Numerical methods and the application of Diffpack are explained in detail. Diffpack is a modern C++ development environment that is widely used by industrial scientists and engineers working in areas such as oil exploration, groundwater modeling, and materials testing. All the program examples, as well as a test version of Diffpack, are available for free over the Internet.

Numerical Methods that Work

Author : Forman S. Acton
Publisher : American Mathematical Soc.
ISBN 13 : 147045727X
Total Pages : 549 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Numerical Methods that Work by : Forman S. Acton

Download or read book Numerical Methods that Work written by Forman S. Acton and published by American Mathematical Soc.. This book was released on 2020-07-31 with total page 549 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Numerical Analysis of Nonlinear Coupled Problems

Author : Hany Shehata
Publisher : Springer
ISBN 13 : 3319619055
Total Pages : 364 pages
Book Rating : 4.3/5 (196 download)

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Book Synopsis Numerical Analysis of Nonlinear Coupled Problems by : Hany Shehata

Download or read book Numerical Analysis of Nonlinear Coupled Problems written by Hany Shehata and published by Springer. This book was released on 2017-07-11 with total page 364 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

The Finite Element Method: Its Basis and Fundamentals

Author : O. C. Zienkiewicz
Publisher : Elsevier
ISBN 13 : 008047277X
Total Pages : 753 pages
Book Rating : 4.0/5 (84 download)

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Book Synopsis The Finite Element Method: Its Basis and Fundamentals by : O. C. Zienkiewicz

Download or read book The Finite Element Method: Its Basis and Fundamentals written by O. C. Zienkiewicz and published by Elsevier. This book was released on 2005-05-26 with total page 753 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Sixth Edition of this influential best-selling book delivers the most up-to-date and comprehensive text and reference yet on the basis of the finite element method (FEM) for all engineers and mathematicians. Since the appearance of the first edition 38 years ago, The Finite Element Method provides arguably the most authoritative introductory text to the method, covering the latest developments and approaches in this dynamic subject, and is amply supplemented by exercises, worked solutions and computer algorithms.• The classic FEM text, written by the subject's leading authors • Enhancements include more worked examples and exercises• With a new chapter on automatic mesh generation and added materials on shape function development and the use of higher order elements in solving elasticity and field problemsActive research has shaped The Finite Element Method into the pre-eminent tool for the modelling of physical systems. It maintains the comprehensive style of earlier editions, while presenting the systematic development for the solution of problems modelled by linear differential equations. Together with the second and third self-contained volumes (0750663219 and 0750663227), The Finite Element Method Set (0750664312) provides a formidable resource covering the theory and the application of FEM, including the basis of the method, its application to advanced solid and structural mechanics and to computational fluid dynamics. - The classic introduction to the finite element method, by two of the subject's leading authors - Any professional or student of engineering involved in understanding the computational modelling of physical systems will inevitably use the techniques in this key text

Multiphysics Modeling: Numerical Methods and Engineering Applications

Author : Qun Zhang
Publisher : Elsevier
ISBN 13 : 0124077374
Total Pages : 438 pages
Book Rating : 4.1/5 (24 download)

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Book Synopsis Multiphysics Modeling: Numerical Methods and Engineering Applications by : Qun Zhang

Download or read book Multiphysics Modeling: Numerical Methods and Engineering Applications written by Qun Zhang and published by Elsevier. This book was released on 2015-12-15 with total page 438 pages. Available in PDF, EPUB and Kindle. Book excerpt: Multiphysics Modeling: Numerical Methods and Engineering Applications: Tsinghua University Press Computational Mechanics Series describes the basic principles and methods for multiphysics modeling, covering related areas of physics such as structure mechanics, fluid dynamics, heat transfer, electromagnetic field, and noise. The book provides the latest information on basic numerical methods, also considering coupled problems spanning fluid-solid interaction, thermal-stress coupling, fluid-solid-thermal coupling, electromagnetic solid thermal fluid coupling, and structure-noise coupling. Users will find a comprehensive book that covers background theory, algorithms, key technologies, and applications for each coupling method. - Presents a wealth of multiphysics modeling methods, issues, and worked examples in a single volume - Provides a go-to resource for coupling and multiphysics problems - Covers the multiphysics details not touched upon in broader numerical methods references, including load transfer between physics, element level strong coupling, and interface strong coupling, amongst others - Discusses practical applications throughout and tackles real-life multiphysics problems across areas such as automotive, aerospace, and biomedical engineering

Numerical Analysis of Nonlinear Coupled Problems

Author : Hany Shehata
Publisher : Springer
ISBN 13 : 9783319619040
Total Pages : 0 pages
Book Rating : 4.6/5 (19 download)

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Book Synopsis Numerical Analysis of Nonlinear Coupled Problems by : Hany Shehata

Download or read book Numerical Analysis of Nonlinear Coupled Problems written by Hany Shehata and published by Springer. This book was released on 2017-07-12 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Modeling of Atmospheric Chemistry

Author : Guy P. Brasseur
Publisher : Cambridge University Press
ISBN 13 : 1108210953
Total Pages : 631 pages
Book Rating : 4.1/5 (82 download)

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Book Synopsis Modeling of Atmospheric Chemistry by : Guy P. Brasseur

Download or read book Modeling of Atmospheric Chemistry written by Guy P. Brasseur and published by Cambridge University Press. This book was released on 2017-06-19 with total page 631 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical modeling of atmospheric composition is a formidable scientific and computational challenge. This comprehensive presentation of the modeling methods used in atmospheric chemistry focuses on both theory and practice, from the fundamental principles behind models, through to their applications in interpreting observations. An encyclopaedic coverage of methods used in atmospheric modeling, including their advantages and disadvantages, makes this a one-stop resource with a large scope. Particular emphasis is given to the mathematical formulation of chemical, radiative, and aerosol processes; advection and turbulent transport; emission and deposition processes; as well as major chapters on model evaluation and inverse modeling. The modeling of atmospheric chemistry is an intrinsically interdisciplinary endeavour, bringing together meteorology, radiative transfer, physical chemistry and biogeochemistry, making the book of value to a broad readership. Introductory chapters and a review of the relevant mathematics make this book instantly accessible to graduate students and researchers in the atmospheric sciences.

Fundamental Numerical Methods for Electrical Engineering

Author : Stanislaw Rosloniec
Publisher : Springer Science & Business Media
ISBN 13 : 3540795197
Total Pages : 294 pages
Book Rating : 4.5/5 (47 download)

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Book Synopsis Fundamental Numerical Methods for Electrical Engineering by : Stanislaw Rosloniec

Download or read book Fundamental Numerical Methods for Electrical Engineering written by Stanislaw Rosloniec and published by Springer Science & Business Media. This book was released on 2008-07-17 with total page 294 pages. Available in PDF, EPUB and Kindle. Book excerpt: Stormy development of electronic computation techniques (computer systems and software), observed during the last decades, has made possible automation of data processing in many important human activity areas, such as science, technology, economics and labor organization. In a broadly understood technology area, this developmentledtoseparationofspecializedformsofusingcomputersforthedesign and manufacturing processes, that is: – computer-aided design (CAD) – computer-aided manufacture (CAM) In order to show the role of computer in the rst of the two applications m- tioned above, let us consider basic stages of the design process for a standard piece of electronic system, or equipment: – formulation of requirements concerning user properties (characteristics, para- ters) of the designed equipment, – elaboration of the initial, possibly general electric structure, – determination of mathematical model of the system on the basis of the adopted electric structure, – determination of basic responses (frequency- or time-domain) of the system, on the base of previously established mathematical model, – repeated modi cation of the adopted diagram (changing its structure or element values) in case, when it does not satisfy the adopted requirements, – preparation of design and technological documentation, – manufacturing of model (prototype) series, according to the prepared docum- tation, – testing the prototype under the aspect of its electric properties, mechanical du- bility and sensitivity to environment conditions, – modi cation of prototype documentation, if necessary, and handing over the documentation to series production. The most important stages of the process under discussion are illustrated in Fig. I. 1. xi xii Introduction Fig. I.

Numerical Treatment of Coupled Systems

Author : Wolfgang Hackbusch
Publisher : Springer Science & Business Media
ISBN 13 : 3322868591
Total Pages : 222 pages
Book Rating : 4.3/5 (228 download)

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Book Synopsis Numerical Treatment of Coupled Systems by : Wolfgang Hackbusch

Download or read book Numerical Treatment of Coupled Systems written by Wolfgang Hackbusch and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 222 pages. Available in PDF, EPUB and Kindle. Book excerpt: The coupling considered in this volume may be of physical or numerical nature. Examples of the first kind are the solid-fluid interactions, microelectronic systems, and the coupled modelling in groundwater flow. Examples of the latter kind are the domain or subspace decomposition, the local defect correction method, and the very important FEM-BEM coupling.

Numerical Methods for Partial Differential Equations

Author : Sandip Mazumder
Publisher : Academic Press
ISBN 13 : 0128035048
Total Pages : 484 pages
Book Rating : 4.1/5 (28 download)

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Book Synopsis Numerical Methods for Partial Differential Equations by : Sandip Mazumder

Download or read book Numerical Methods for Partial Differential Equations written by Sandip Mazumder and published by Academic Press. This book was released on 2015-12-01 with total page 484 pages. Available in PDF, EPUB and Kindle. Book excerpt: Numerical Methods for Partial Differential Equations: Finite Difference and Finite Volume Methods focuses on two popular deterministic methods for solving partial differential equations (PDEs), namely finite difference and finite volume methods. The solution of PDEs can be very challenging, depending on the type of equation, the number of independent variables, the boundary, and initial conditions, and other factors. These two methods have been traditionally used to solve problems involving fluid flow. For practical reasons, the finite element method, used more often for solving problems in solid mechanics, and covered extensively in various other texts, has been excluded. The book is intended for beginning graduate students and early career professionals, although advanced undergraduate students may find it equally useful. The material is meant to serve as a prerequisite for students who might go on to take additional courses in computational mechanics, computational fluid dynamics, or computational electromagnetics. The notations, language, and technical jargon used in the book can be easily understood by scientists and engineers who may not have had graduate-level applied mathematics or computer science courses. - Presents one of the few available resources that comprehensively describes and demonstrates the finite volume method for unstructured mesh used frequently by practicing code developers in industry - Includes step-by-step algorithms and code snippets in each chapter that enables the reader to make the transition from equations on the page to working codes - Includes 51 worked out examples that comprehensively demonstrate important mathematical steps, algorithms, and coding practices required to numerically solve PDEs, as well as how to interpret the results from both physical and mathematic perspectives

Numerical Continuation Methods for Dynamical Systems

Author : Bernd Krauskopf
Publisher : Springer
ISBN 13 : 1402063563
Total Pages : 411 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Numerical Continuation Methods for Dynamical Systems by : Bernd Krauskopf

Download or read book Numerical Continuation Methods for Dynamical Systems written by Bernd Krauskopf and published by Springer. This book was released on 2007-11-06 with total page 411 pages. Available in PDF, EPUB and Kindle. Book excerpt: Path following in combination with boundary value problem solvers has emerged as a continuing and strong influence in the development of dynamical systems theory and its application. It is widely acknowledged that the software package AUTO - developed by Eusebius J. Doedel about thirty years ago and further expanded and developed ever since - plays a central role in the brief history of numerical continuation. This book has been compiled on the occasion of Sebius Doedel's 60th birthday. Bringing together for the first time a large amount of material in a single, accessible source, it is hoped that the book will become the natural entry point for researchers in diverse disciplines who wish to learn what numerical continuation techniques can achieve. The book opens with a foreword by Herbert B. Keller and lecture notes by Sebius Doedel himself that introduce the basic concepts of numerical bifurcation analysis. The other chapters by leading experts discuss continuation for various types of systems and objects and showcase examples of how numerical bifurcation analysis can be used in concrete applications. Topics that are treated include: interactive continuation tools, higher-dimensional continuation, the computation of invariant manifolds, and continuation techniques for slow-fast systems, for symmetric Hamiltonian systems, for spatially extended systems and for systems with delay. Three chapters review physical applications: the dynamics of a SQUID, global bifurcations in laser systems, and dynamics and bifurcations in electronic circuits.

Coupled Systems

Author : Juergen Geiser
Publisher : CRC Press
ISBN 13 : 1466578025
Total Pages : 311 pages
Book Rating : 4.4/5 (665 download)

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Book Synopsis Coupled Systems by : Juergen Geiser

Download or read book Coupled Systems written by Juergen Geiser and published by CRC Press. This book was released on 2014-02-14 with total page 311 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 multi-physics 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 (R) and Simulink (R) 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 multi-physics 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

Numerical Methods for Initial Value Problems in Ordinary Differential Equations

Author : Simeon Ola Fatunla
Publisher :
ISBN 13 :
Total Pages : 320 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Numerical Methods for Initial Value Problems in Ordinary Differential Equations by : Simeon Ola Fatunla

Download or read book Numerical Methods for Initial Value Problems in Ordinary Differential Equations written by Simeon Ola Fatunla and published by . This book was released on 1988 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Numerical Methods for Conservation Laws

Author : LEVEQUE
Publisher : Birkhäuser
ISBN 13 : 3034851162
Total Pages : 221 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Numerical Methods for Conservation Laws by : LEVEQUE

Download or read book Numerical Methods for Conservation Laws written by LEVEQUE and published by Birkhäuser. This book was released on 2013-11-11 with total page 221 pages. Available in PDF, EPUB and Kindle. Book excerpt: These notes developed from a course on the numerical solution of conservation laws first taught at the University of Washington in the fall of 1988 and then at ETH during the following spring. The overall emphasis is on studying the mathematical tools that are essential in de veloping, analyzing, and successfully using numerical methods for nonlinear systems of conservation laws, particularly for problems involving shock waves. A reasonable un derstanding of the mathematical structure of these equations and their solutions is first required, and Part I of these notes deals with this theory. Part II deals more directly with numerical methods, again with the emphasis on general tools that are of broad use. I have stressed the underlying ideas used in various classes of methods rather than present ing the most sophisticated methods in great detail. My aim was to provide a sufficient background that students could then approach the current research literature with the necessary tools and understanding. vVithout the wonders of TeX and LaTeX, these notes would never have been put together. The professional-looking results perhaps obscure the fact that these are indeed lecture notes. Some sections have been reworked several times by now, but others are still preliminary. I can only hope that the errors are not too blatant. Moreover, the breadth and depth of coverage was limited by the length of these courses, and some parts are rather sketchy.