Triangulations, and more precisely meshes, are at the heart of many problems relating to a wide variety of scientific disciplines, and in particular numerical simulations of all kinds of physical phenomena. In numerical simulations, the functional spaces of approximation used to search for solutions are defined from meshes, and in this sense these meshes play a fundamental role. This strong link between meshes and functional spaces leads us to consider advanced simulation methods in which the meshes are adapted to the behaviors of the underlying physical phenomena. This book presents the basic elements of this vision of meshing. These mesh adaptations are generally governed by a posteriori error estimators representing an increase of the error with respect to a size or metric. Independently of this metric of calculation, compliance with a geometry can also be calculated using a so-called geometric metric. The notion of mesh thus finds its meaning in the metric of its elements.
The Dictionary of Hiberno-English is the leading reference book on Hiberno-English – the form of English commonly spoken in Ireland. It connects the spoken and the written language, and is a unique national dictionary that bears witness to Irish history, struggles and the creative identities found in Ireland. Reflecting the social, political, religious and financial changes of people's ever-evolving lives, it contains words and expressions not usually seen in a dictionary, such as 'kibosh', 'smithereens', 'Peggy's Leg', 'hames', 'yoke', 'blaa', 'banjax' and 'lubán'. It is a celebration of an irrepressible gift for the creative, expressive and reckless manipulation of the English language!
The finite element method, which emerged in the 1950s to deal with structural mechanics problems, has since undergone continuous development. Using partial differential equation models, it is now present in such fields of application as mechanics, physics, chemistry, economics, finance and biology. It is also used in most scientific computing software, and many engineers become adept at using it in their modeling and numerical simulation activities. This book presents all the essential elements of the finite element method in a progressive and didactic way: the theoretical foundations, practical considerations of implementation, algorithms, as well as numerical illustrations created in MATLAB. Original exercises with detailed answers are provided at the end of each chapter.
This book provides a comprehensive study of multi-stage and multi-time scale design of feedback controllers for linear dynamic systems. It examines different types of controllers as can be designed for different parts of the system (subsystems) using corresponding feedback gains obtained by performing calculations (design) only with subsystem (reduced-order) matrices.The advantages of the multi-stage/multi-time scale design are presented and conditions for implementation of these controllers are established. Complete derivations and corresponding design techniques are presented for two-stage/two-time-scale, three-stage/three-time scale, and four-stage/four-time-scale systems. The techniques developed have potential applications to a large number of real physical systems. The design techniques are demonstrated on examples of mathematical models of fuel cells, especially the proton exchange membrane fuel cell.
This book covers important biological, immunological, and molecular information essential for understanding the rationale and results of experiments and clinical observations on cell-cell and cell substrate adhesion; hydrolytic activities, cell motility; immunological and other host elements of the host-tumor ecosystem (at different sites of the metastic process); genetic and epigenetic elements of the acquisition and the expression of invasive phenotypes. 38 tables and 60 computer-drawn figures provide comprehensive overviews, and a methodological chapter emphasizing the differences and similarities between assays and their relevance for natural situations has also been included. Clinical and experimental cancer researchers, as well as as post-graduate students interested in cancer research, will find this book to be an indispensable reference resource.
Neimeyer for the first time reveals who really served in the army during the Revolution and why. His conclusions are startling. The long-termed Continental soldiers were not those whom historians have traditionally associated with the defense of liberty.
Reflecting on Montaigne, Virginia Woolf remarked, "The most common actions-a walk, a talk, solitude in one's own orchard-can be enhanced and lit up by the association of the mind." In Quotidiana, Patrick Madden illuminates these common actions and seemingly commonplace moments, making connections that revise and reconfigure the overlooked and underappreciated.
Triangulations, and more precisely meshes, are at the heart of many problems relating to a wide variety of scientific disciplines, and in particular numerical simulations of all kinds of physical phenomena. In numerical simulations, the functional spaces of approximation used to search for solutions are defined from meshes, and in this sense these meshes play a fundamental role. This strong link between meshes and functional spaces leads us to consider advanced simulation methods in which the meshes are adapted to the behaviors of the underlying physical phenomena. This book presents the basic elements of this vision of meshing. These mesh adaptations are generally governed by a posteriori error estimators representing an increase of the error with respect to a size or metric. Independently of this metric of calculation, compliance with a geometry can also be calculated using a so-called geometric metric. The notion of mesh thus finds its meaning in the metric of its elements.
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