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Finite Element Methods for Maxwell's Equations
Since the middle of the last century, computing power has increased sufficiently that the direct numerical approximation of Maxwell's equations is now an increasingly important tool in science and engineering. Parallel to the increasing use of numerical methods in computational electromagnetism there has also been considerable progress in the mathematical understanding of the properties of Maxwell's equations relevant to numerical analysis. The aim of this book is to provide an up to date and sound theoretical foundation for finite element methods in computational electromagnetism. The emphasis is on finite element methods for scattering problems that involve the solution of Maxwell's equations on infinite domains. Suitable variational formulations are developed and justified mathematically. An error analysis of edge finite element methods that are particularly well suited to Maxwell's equations is the main focus of the book. The methods are justified for Lipschitz polyhedral domains that can cause strong singularities in the solution. The book finishes with a short introduction to inverse problems in electromagnetism.
Finite Element Methods for Maxwell's Equations
Finite Element Methods For Maxwell's Equations is the first book to present the use of finite elements to analyse Maxwell's equations. This book is part of the Numerical Analysis and Scientific Computation Series.
Computational Electromagnetism
Presenting topics that have not previously been contained in a single volume, this book offers an up-to-date review of computational methods in electromagnetism, with a focus on recent results in the numerical simulation of real-life electromagnetic problems and on theoretical results that are useful in devising and analyzing approximation algorithms. Based on four courses delivered in Cetraro in June 2014, the material covered includes the spatial discretization of Maxwell’s equations in a bounded domain, the numerical approximation of the eddy current model in harmonic regime, the time domain integral equation method (with an emphasis on the electric-field integral equation) and an overview of qualitative methods for inverse electromagnetic scattering problems. Assuming some knowledge of the variational formulation of PDEs and of finite element/boundary element methods, the book is suitable for PhD students and researchers interested in numerical approximation of partial differential equations and scientific computing.
Phra Farang
At forty-five, successful businessman Peter Robinson gave up his comfortable life in London to ordain as a Buddhist monk in Bangkok. But the new path he had chosen was not always as easy or as straightforward as he hoped it would be. In this truly extraordinary memoir, Phra Peter Pannapadipo describes his ten-year metamorphosis into a practicing Buddhist monk, while being initiated into the intricacies of an unfamiliar Southeast Asian culture. Phra Peter tells his story with compassion, humour and unflinching honesty. It's the story of a 'Phra Farang' - a foreign monk - living and practicing his faith in an exotic and intriguing land.
The Great Beginning of Cîteaux
In the closing decades of the twelfth century the Cistercian Order found itself in a world rather different from the one in which it had been founded and began to thrive. The Order was justifiably proud of its achievements and unparalleled diffusion across Europe. It had become an important ecclesiastical and economic power in Europe and developed an institutional structure meant to sustain a large, widespread organization. Yet it had lost its influential spokesman, Bernard of Clairvaux, and as the century drew to a close, religious sensibilities were changing. The new mendicant orders, the Franciscans and the Dominicans, and the impulses they embodied, were to shift the center of gravity in Christian religious life for centuries to come.
The CahnHilliard Equation: Recent Advances and Applications
This is the first book to present a detailed discussion of both classical and recent results on the popular CahnHilliard equation and some of its variants. The focus is on mathematical analysis of CahnHilliard models, with an emphasis on thermodynamically relevant logarithmic nonlinear terms, for which several questions are still open. Initially proposed in view of applications to materials science, the CahnHilliard equation is now applied in many other areas, including image processing, biology, ecology, astronomy, and chemistry. In particular, the author addresses applications to image inpainting and tumor growth. Many chapters include open problems and directions for future research. The Cahn-Hilliard Equation: Recent Advances and Applications is intended for graduate students and researchers in applied mathematics, especially those interested in phase separation models and their generalizations and applications to other fields. Materials scientists also will find this text of interest.
The Lives of Peter the Iberian, Theodosius of Jerusalem, and the Monk Romanus
The context of the history of Georgia from the fourth to the sixth centuries -- Christianity and monasticism in Georgia in the fourth and fifth centuries -- Peter's genealogy in the life of Peter the Iberian : hagiographic ancestry -- The history of the christological controversies and their context in Palestine from the fourth to the sixth centuries -- Monasticism in fifth-century Palestine -- On the death of Theodosius -- The anti-chalcedonian defeat in Palestine -- Authorship -- John Rufus -- Rhetoric and genre in the life of Peter the Iberian -- Text-critical overview -- Versions and original text -- Synopsis of the Vita Petri Iberi and the De obitu Theodosii -- Outline of the Vita Petri Iberi -- Outline of the De obitu Theodosii -- Genealogical tables of the families of Peter the Iberian and Zuzo -- Chronological timeline -- Texts and translations -- Life of Peter the Iberian -- On the death of Theodosius.
Living and Dying in England 1100-1540 : The Monastic Experience
This fascinating account of daily life in Westminster Abbey, one of medieval England's most important monastic communities is also a broad exploration of some major themes in the social history of the Middle Ages, by one of its most distinguished historians. - ;This is an authoritative account of daily life in Westminster Abbey, one of medieval England's greatest monastic communities. It is also a wide-ranging exploration of some major themes in the social history of the Middle Ages and early sixteenth century, by one of its most distinguished historians. Barbara Harvey exploits the exceptionally rich archives of the Benedictine foundation of Westminster to the full, offering numerous vivid ...
