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This book introduces the reader to solving partial differential equations (PDEs) numerically using element-based Galerkin methods. Although it draws on a solid theoretical foundation (e.g. the theory of interpolation, numerical integration, and function spaces), the book’s main focus is on how to build the method, what the resulting matrices look like, and how to write algorithms for coding Galerkin methods. In addition, the spotlight is on tensor-product bases, which means that only line elements (in one dimension), quadrilateral elements (in two dimensions), and cubes (in three dimensions) are considered. The types of Galerkin methods covered are: continuous Galerkin methods (i.e., finite/spectral elements), discontinuous Galerkin methods, and hybridized discontinuous Galerkin methods using both nodal and modal basis functions. In addition, examples are included (which can also serve as student projects) for solving hyperbolic and elliptic partial differential equations, including both scalar PDEs and systems of equations.
This book is a tutorial written by researchers and developers behind the FEniCS Project and explores an advanced, expressive approach to the development of mathematical software. The presentation spans mathematical background, software design and the use of FEniCS in applications. Theoretical aspects are complemented with computer code which is available as free/open source software. The book begins with a special introductory tutorial for beginners. Following are chapters in Part I addressing fundamental aspects of the approach to automating the creation of finite element solvers. Chapters in Part II address the design and implementation of the FEnicS software. Chapters in Part III present the application of FEniCS to a wide range of applications, including fluid flow, solid mechanics, electromagnetics and geophysics.
This textbook teaches finite element methods from a computational point of view. It focuses on how to develop flexible computer programs with Python, a programming language in which a combination of symbolic and numerical tools is used to achieve an explicit and practical derivation of finite element algorithms. The finite element library FEniCS is used throughout the book, but the content is provided in sufficient detail to ensure that students with less mathematical background or mixed programming-language experience will equally benefit. All program examples are available on the Internet.
The sixth editions of these seminal books deliver the most up to date and comprehensive reference yet on the finite element method for all engineers and mathematicians. Renowned for their scope, range and authority, the new editions have been significantly developed in terms of both contents and scope. Each book is now complete in its own right and provides self-contained reference; used together they provide a formidable resource covering the theory and the application of the universally used FEM. Written by the leading professors in their fields, the three books cover the basis of the method, its application to solid mechanics and to fluid dynamics. * This is THE classic finite element method set, by two the subject's leading authors * FEM is a constantly developing subject, and any professional or student of engineering involved in understanding the computational modelling of physical systems will inevitably use the techniques in these books * Fully up-to-date; ideal for teaching and reference
Still the only concise practical guide to laboratory experiments in proteomics, this new edition now also covers DIGE technology and liquid-chromatography, while the troubleshooting section has been considerably extended. Adopting a practical approach, the authors present the relevant techniques and explain the route to successful experimental design and optimal method selection. They cover such electrophoretic techniques as isoelectric focusing, SDS page, 2-D page, and DIGE, as well as liquid-chromatography techniques, such as ion exchange, affinity chromatography and reversed-phase HPLC. Mass-spectrometric techniques include MALDI, ESI, and FT ICR. Generously illustrated, partly in color, the book also features updates of protocols as well as animations illustrating crucial methodological steps on a companion website.
Building Integrated Photovoltaic Thermal Systems: Fundamentals, Designs, and Applications presents various applications, system designs, manufacturing, and installation techniques surrounding how to build integrated photovoltaics. This book provides a comprehensive understanding of all system components, long-term performance and testing, and the commercialization of building integrated photovoltaic thermal (BIPVT) systems. By addressing potential obstacles with current photovoltaic (PV) systems, such as efficiency bottlenecks and product heat harvesting, the authors not only cover the fundamentals and design philosophy of the BIPVT technology, but also introduce a hybrid system for building integrated thermal electric roofing. Topics covered in Building Integrated Photovoltaic Thermal Systems are useful for scientists and engineers in the fields of photovoltaics, electrical and civil engineering, materials science, sustainable energy harvesting, solar energy, and renewable energy production. Contains system integration methods supported by industry developments Includes real-life examples and functional projects as case studies for comparison Covers system design challenges, offering unique solutions
This book gives an introduction to the finite element method as a general computational method for solving partial differential equations approximately. Our approach is mathematical in nature with a strong focus on the underlying mathematical principles, such as approximation properties of piecewise polynomial spaces, and variational formulations of partial differential equations, but with a minimum level of advanced mathematical machinery from functional analysis and partial differential equations. In principle, the material should be accessible to students with only knowledge of calculus of several variables, basic partial differential equations, and linear algebra, as the necessary concepts from more advanced analysis are introduced when needed. Throughout the text we emphasize implementation of the involved algorithms, and have therefore mixed mathematical theory with concrete computer code using the numerical software MATLAB is and its PDE-Toolbox. We have also had the ambition to cover some of the most important applications of finite elements and the basic finite element methods developed for those applications, including diffusion and transport phenomena, solid and fluid mechanics, and also electromagnetics.​
"... an original, quirky, and illuminating collection of material concerning the relatively new and exciting field of technoscience studies.... T]he editors' choice of multiple approaches to the work of four major figures is wholly suited to clarifying their unorthodox and consequently somewhat elusive philosophical positions." --Robert Scharff Although often absent from the considerations of philosophers, sociologists, and anthropologists, the material dimension plays an important and even essential role in the practices of the sciences. Chasing Technoscience: Matrix for Materiality begins to redress this absence by bringing together four prominent figures who make technoscience, or science embodied in its technologies, a central theme of their work. Through lively personal interviews and substantive essays, the ideas of Andrew Pickering, Don Ihde, Donna Haraway, and Bruno Latour are brought to bear on the question of materiality in technoscience. The work of these theorists is then compared and critiqued in essays by colleagues. Chasing Technoscience is a ground-breaking, state-of-the-art look at current developments in technoscience.
Dynamic-clamp is a fascinating electrophysiology technique that consists of merging living neurons with computational models. The dynamic-clamp (also called “conductance injection”) allows experimentalists and theoreticians to challenge neurons (or any other type of cell) with complex conductance stimuli generated by a computer. The technique can be implemented from neural simulation environments and a variety of custom-made or commercial systems. The real-time interaction between the computer and cell also enables the design of recording paradigms with unprecedented accuracy via a computational model of the electrode. Dynamic-Clamp: From Principles to Applications contains contributions from leading researchers in the field, who investigate these paradigms at the cellular or network level, in vivo and in vitro, and in different brain regions and cardiac cells. Topics discussed include the addition of artificially-generated synaptic activity to neurons; adding, amplifying or neutralizing voltage-dependent conductances; creating hybrid networks with real and artificial cells; attaching simulated dendritic tree structures to the living cell; and connecting different neurons. This book will be of interest to experimental biophysicists, neurophysiologists, and cardiac physiologists, as well as theoreticians, engineers, and computational neuroscientists. Graduate and undergraduate students will also find up-to-date coverage of physiological problems and how they are investigated.
Presents a solid introduction to thermal analysis, methods, instrumentation, calibration, and application along with the necessary theoretical background. Useful to chemists, physicists, materials scientists, and engineers who are new to thermal analysis techniques, and to existing users of thermal analysis who wish expand their experience to new techniques and applications Topics covered include Differential Scanning Calorimetry and Differential Thermal Analysis (DSC/DTA), Thermogravimetry, Thermomechanical Analysis and Dilatometry, Dynamic Mechanical Analysis, Micro-Thermal Analysis, Hot Stage Microscopy, and Instrumentation. Written by experts in the various areas of thermal analysis Relevant and detailed experiments and examples follow each chapter.