Analytic Element Method

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Analytic Element Modeling Of Groundwater Flow
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Author : H. M. Haitjema
language : en
Publisher: Elsevier
Release Date : 1995-09-20
Analytic Element Modeling Of Groundwater Flow written by H. M. Haitjema and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995-09-20 with Mathematics categories.
Modeling has become an essential tool for the groundwater hydrologist. Where field data is limited, the analytic element method (AEM) is rapidly becoming the modeling method of choice, especially given the availability of affordable modeling software. Analytic Element Modeling of Groundwater Flow provides all the basics necessary to approach AEM successfully, including a presentation of fundamental concepts and a thorough introduction to Dupuit-Forchheimerflow. This book is unique in its emphasis on the actual use of analytic element models. Real-world examples complement material presented in the text. An educational version of the analytic element program GFLOW is included to allow the reader to reproduce the various solutions to groundwater flow problems discussed in the text. Researchers and graduate students in groundwater hydrology, geology, andengineering will find this book an indispensable resource. * * Provides a fundamental introduction to the use of the analytic element method. * Offers a step-by-step approach to groundwater flow modeling. * Includes an educational version of the GFLOW modeling software.
Analytic Element Method
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Author : David R. Steward
language : en
Publisher:
Release Date : 2020
Analytic Element Method written by David R. Steward and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020 with Mathematics categories.
The Analytic Element Method provides a foundation to solve boundary value problems commonly encountered in engineering and science. The goals are: to introduce readers to the basic principles of the AEM, to provide a template for those interested in pursuing these methods, and to empower readers to extend the AEM paradigm to an even broader range of problems. A comprehensive paradigm: place an element within its landscape, formulate its interactions with other elements using linear series of influence functions, and then solve for its coefficients to match its boundary and interface conditions with nearly exact precision. Collectively, sets of elements interact to transform their environment, and these synergistic interactions are expanded upon for three common types of problems. The first problem studies a vector field that is directed from high to low values of a function, and applications include: groundwater flow, vadose zone seepage, incompressible fluid flow, thermal conduction and electrostatics. A second type of problem studies the interactions of elements with waves, with applications including water waves and acoustics. A third type of problem studies the interactions of elements with stresses and displacements, with applications in elasticity for structures and geomechanics. The Analytic Element Method paradigm comprehensively employs a background of existing methodology using complex functions, separation of variables and singular integral equations. This text puts forth new methods to solving important problems across engineering and science, and has a tremendous potential to broaden perspective and change the way problems are formulated.
Analytic Element Method
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Author : David R. Steward
language : en
Publisher: Oxford University Press
Release Date : 2020-08-31
Analytic Element Method written by David R. Steward and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-08-31 with Nature categories.
"Analytic Element Method" (AEM) assembles a broad range of mathematical and computational approaches to solve important problems in engineering and science. As the subtitle "Complex Interactions of Boundaries and Interfaces" suggests, problems are partitioned into sets of elements and methods are formulated to solve conditions along their boundaries and interfaces. Presentation will place an element within its landscape, formulate its interactions with other elements using linear series of influence functions, and then solve for its coefficients to match its boundary and interface conditions. Computational methods enable boundary and interface conditions of closely interacting elements to be matched with nearly exact precision, commonly to within 8-12 significant digits. Comprehensive solutions provide elements that collectively interact and shape the environment within which they exist. This work is grounded in a wide range of foundational studies, using exact solutions for important boundary value problems. However, the computational capacity of their times limited solutions to idealized problems, commonly involving a single isolated element within a uniform regional background. With the advent of modern computers, such mathematically based methods were passed over by many, in the pursuit of discretized domain solutions using finite element and finite difference methods. Yet, the elegance of the mathematical foundational studies remains, and the rationale for the Analytic Element Method was inspired by the realization that computational advances could also lead to advances in the mathematical methods that were unforeseeable in the past.
Analytic Element Modeling Of Coastal Aquifers
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Author : Mark Bakker
language : en
Publisher:
Release Date : 2000
Analytic Element Modeling Of Coastal Aquifers written by Mark Bakker and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with Aquifers categories.
Boundary Element Methods In Heat Transfer
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Author : Wrobel
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Boundary Element Methods In Heat Transfer written by Wrobel and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Science categories.
Heat transfer problems in industry are usually of a very complex nature, simultaneously involving different transfer modes such as conduction, convection, radiation and others. Because of this, very few problems can be solved analytically and one generally has to resort to numerical analysis. The boundary element method is a numerical technique which has been receiving growing attention for solving heat transfer problems because of its unique ability to confine the discretization process to the boundaries of the problem region. This allows major reductions in the data preparation and computer effort necessary to solve complex industrial problems. The purpose of this book is to present efficient algorithms used in conjunction with the boundary element method for the solution of steady and transient, linear and non-linear heat transfer problems. It represents the state-of-the-art of boundary element applications in the field of heat transfer, and constitutes essential reading for researchers and practising engineers involved with this important topic.
Finite Elements For Analysis And Design
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Author : J. E. Akin
language : en
Publisher: Academic Press
Release Date : 1994
Finite Elements For Analysis And Design written by J. E. Akin and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with Computers categories.
Mathematics of Computing -- Numerical Analysis.
The Boundary Element Method For Plate Analysis
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Author : John T. Katsikadelis
language : en
Publisher: Academic Press
Release Date : 2017-10-30
The Boundary Element Method For Plate Analysis written by John T. Katsikadelis and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-10-30 with Mathematics categories.
Boundary Element Method for Plate Analysis offers one of the first systematic and detailed treatments of the application of BEM to plate analysis and design. Aiming to fill in the knowledge gaps left by contributed volumes on the topic and increase the accessibility of the extensive journal literature covering BEM applied to plates, author John T. Katsikadelis draws heavily on his pioneering work in the field to provide a complete introduction to theory and application. Beginning with a chapter of preliminary mathematical background to make the book a self-contained resource, Katsikadelis moves on to cover the application of BEM to basic thin plate problems and more advanced problems. Each chapter contains several examples described in detail and closes with problems to solve. Presenting the BEM as an efficient computational method for practical plate analysis and design, Boundary Element Method for Plate Analysis is a valuable reference for researchers, students and engineers working with BEM and plate challenges within mechanical, civil, aerospace and marine engineering. One of the first resources dedicated to boundary element analysis of plates, offering a systematic and accessible introductory to theory and application Authored by a leading figure in the field whose pioneering work has led to the development of BEM as an efficient computational method for practical plate analysis and design Includes mathematical background, examples and problems in one self-contained resource
A Simple Introduction To The Mixed Finite Element Method
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Author : Gabriel N. Gatica
language : en
Publisher: Springer Science & Business Media
Release Date : 2014-01-09
A Simple Introduction To The Mixed Finite Element Method written by Gabriel N. Gatica and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-01-09 with Mathematics categories.
The main purpose of this book is to provide a simple and accessible introduction to the mixed finite element method as a fundamental tool to numerically solve a wide class of boundary value problems arising in physics and engineering sciences. The book is based on material that was taught in corresponding undergraduate and graduate courses at the Universidad de Concepcion, Concepcion, Chile, during the last 7 years. As compared with several other classical books in the subject, the main features of the present one have to do, on one hand, with an attempt of presenting and explaining most of the details in the proofs and in the different applications. In particular several results and aspects of the corresponding analysis that are usually available only in papers or proceedings are included here.
Analytic Elements In P Adic Analysis
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Author : Alain Escassut
language : en
Publisher: World Scientific
Release Date : 1995
Analytic Elements In P Adic Analysis written by Alain Escassut and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with Mathematics categories.
This is probably the first book dedicated to this topic. The behaviour of the analytic elements on an infraconnected set D in K an algebraically closed complete ultrametric field is mainly explained by the circular filters and the monotonous filters on D, especially the T-filters: zeros of the elements, Mittag-Leffler series, factorization, Motzkin factorization, maximum principle, injectivity, algebraic properties of the algebra of the analytic elements on D, problems of analytic extension, factorization into meromorphic products and connections with Mittag-Leffler series. This is applied to the differential equation y'=hy (y, h analytic elements on D), analytic interpolation, injectivity, and to the p-adic Fourier transform.