The Cell Method: A Purely Algebraic Computational Method in Physics and Engineering

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9781606506042: The Cell Method: A Purely Algebraic Computational Method in Physics and Engineering
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The Cell Method (CM) is a computational tool that maintains critical multidimensional attributes of physical phenomena in analysis. This information is neglected in the differential formulations of the classical approaches of finite element, boundary element, finite volume, and finite difference analysis, often leading to numerical instabilities and spurious results. This book highlights the central theoretical concepts of the CM that preserve a more accurate and precise representation of the geometric and topological features of variables for practical problem solving. Important applications occur in fields such as electromagnetics, electrodynamics, solid mechanics and fluids. CM addresses non-locality in continuum mechanics, an especially important circumstance in modeling heterogeneous materials. Professional engineers and scientists, as well as graduate students, are offered: * A general overview of physics and its mathematical descriptions; * Guidance on how to build direct, discrete formulations; * Coverage of the governing equations of the CM, including nonlocality; * Explanations of the use of Tonti diagrams; and * References for further reading.

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Elena Ferretti is an Assistant Professor in the School of Engineering and Architecture, Alma Mater Studiorum-University of Bologna, Italy. Her research focuses on the development of numerical codes for fracture mechanics in brittle heterogeneous materials, based on the relationship between non-local approaches and discrete formulations. She is the author or coauthor of numerous conference and journal publications and is the recipient of the 2009 ICCES / S. Ramanujan Young Investigator Award in Computation.

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Book Description Momentum Press, United States, 2014. Hardback. Condition: New. Language: English . Brand New Book ***** Print on Demand *****. Finite Element, Boundary Element, Finite Volume, and Finite Difference Analysis are all commonly used in nearly all engineering disciplines to simplify complex problems of geometry and change. But they all tend to oversimplify. The Cell Method is a more recent computational approach developed initially for problems in solid mechanics and electro-magnetic field analysis. It is a more algebraic approach, and it offers a more accurate representation of geometric and topological features. This will be perhaps the first book-length work in the world that explicates the Cell Method and that shows how useful it can be for practical problem solving, especially in problems in solid mechanics. Seller Inventory # APC9781606506042

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Book Description Momentum Press, United States, 2014. Hardback. Condition: New. Language: English . Brand New Book ***** Print on Demand *****.Finite Element, Boundary Element, Finite Volume, and Finite Difference Analysis are all commonly used in nearly all engineering disciplines to simplify complex problems of geometry and change. But they all tend to oversimplify. The Cell Method is a more recent computational approach developed initially for problems in solid mechanics and electro-magnetic field analysis. It is a more algebraic approach, and it offers a more accurate representation of geometric and topological features. This will be perhaps the first book-length work in the world that explicates the Cell Method and that shows how useful it can be for practical problem solving, especially in problems in solid mechanics. Seller Inventory # APC9781606506042

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Book Description Momentum Press, United States, 2014. Hardback. Condition: New. Language: English . This book usually ship within 10-15 business days and we will endeavor to dispatch orders quicker than this where possible. Brand New Book. Finite Element, Boundary Element, Finite Volume, and Finite Difference Analysis are all commonly used in nearly all engineering disciplines to simplify complex problems of geometry and change. But they all tend to oversimplify. The Cell Method is a more recent computational approach developed initially for problems in solid mechanics and electro-magnetic field analysis. It is a more algebraic approach, and it offers a more accurate representation of geometric and topological features. This will be perhaps the first book-length work in the world that explicates the Cell Method and that shows how useful it can be for practical problem solving, especially in problems in solid mechanics. Seller Inventory # LIE9781606506042

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Book Description Momentum Press. Hardcover. Condition: New. 244 pages. Dimensions: 10.2in. x 7.2in. x 0.9in.The Cell Method (CM) is a computational tool that maintains critical multidimensional attributes of physical phenomena in analysis. This information is neglected in the differential formulations of the classical approaches of finite element, boundary element, finite volume, and finite difference analysis, often leading to numerical instabilities and spurious results. This book highlights the central theoretical concepts of the CM that preserve a more accurate and precise representation of the geometric and topological features of variables for practical problem solving. Important applications occur in fields such as electromagnetics, electrodynamics, solid mechanics and fluids. CM addresses non-locality in continuum mechanics, an especially important circumstance in modeling heterogeneous materials. Professional engineers and scientists, as well as graduate students, are offered: A general overview of physics and its mathematical descriptions; Guidance on how to build direct, discrete formulations; Coverage of the governing equations of the CM, including nonlocality; Explanations of the use of Tonti diagrams; and References for further reading. This item ships from multiple locations. Your book may arrive from Roseburg,OR, La Vergne,TN. Hardcover. Seller Inventory # 9781606506042

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