Analytic Element Method
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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 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.
Third International Conference On The Analytic Element Method In Modeling Groundwater Flow
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Author :
language : en
Publisher:
Release Date :
Third International Conference On The Analytic Element Method In Modeling Groundwater Flow written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.
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 Boundary element methods categories.
'Analytic Element Method' (AEM) assembles a broad range of mathematical and computational approaches to solve important problems in engineering and science.
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.
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.
Laplace Transform Analytic Element Method For Transient Groundwater Flow Simulation
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Author :
language : en
Publisher:
Release Date : 2008
Laplace Transform Analytic Element Method For Transient Groundwater Flow Simulation written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with categories.
The Laplace transform analytic element method (LT-AEM), applies the traditionally steady-state analytic element method (AEM) to the Laplace-transformed diffusion equation (Furman and Neuman, 2003). This strategy preserves the accuracy and elegance of the AEM while extending the method to transient phenomena. The approach taken here utilizes eigenfunction expansion to derive analytic solutions to the modified Helmholtz equation, then back-transforms the LT-AEM results with a numerical inverse Laplace transform algorithm. The two-dimensional elements derived here include the point, circle, line segment, ellipse, and infinite line, corresponding to polar, elliptical and Cartesian coordinates. Each element is derived for the simplest useful case, an impulse response due to a confined, transient, single-aquifer source. The extension of these elements to include effects due to leaky, unconfined, multi-aquifer, wellbore storage, and inertia is shown for a few simple elements (point and line), with ready extension to other elements. General temporal behavior is achieved using convolution between these impulse and general time functions; convolution allows the spatial and temporal components of an element to be handled independently.Comparisons are made between inverse Laplace transform algorithms; the accelerated Fourier series approach of de Hoog et al. (1982) is found to be the most appropriate for LT-AEM applications. An application and synthetic examples are shown for several illustrative forward and parameter estimation simulations to illustrate LT-AEM capabilities. Extension of LT-AEM to three-dimensional flow and non-linear infiltration are discussed.
High Order Analytic Elements In Modeling Groundwater Flow
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Author : Igor Janković
language : en
Publisher:
Release Date : 1997
High Order Analytic Elements In Modeling Groundwater Flow written by Igor Janković and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with categories.
Estimation Of Aquifer Parameters For Use In The Analytic Element Method
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Author : Barry Power
language : en
Publisher:
Release Date : 1990
Estimation Of Aquifer Parameters For Use In The Analytic Element Method written by Barry Power and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990 with Aquifers categories.
Control Equation Formulation For Circular Inhomogeneities In The Analytic Element Method
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Author : Melinda Leigh Salisbury
language : en
Publisher:
Release Date : 1992
Control Equation Formulation For Circular Inhomogeneities In The Analytic Element Method written by Melinda Leigh Salisbury and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with Aquifers categories.