Electromagnetic Scattering using the Iterative Multi-Region Technique

Electromagnetic Scattering using the Iterative Multi-Region Technique

Author: Mohamed H. Al Sharkawy

Publisher: Springer Nature

Published: 2022-06-01

Total Pages: 99

ISBN-13: 3031017021

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In this work, an iterative approach using the finite difference frequency domain method is presented to solve the problem of scattering from large-scale electromagnetic structures. The idea of the proposed iterative approach is to divide one computational domain into smaller subregions and solve each subregion separately. Then the subregion solutions are combined iteratively to obtain a solution for the complete domain. As a result, a considerable reduction in the computation time and memory is achieved. This procedure is referred to as the iterative multiregion (IMR) technique. Different enhancement procedures are investigated and introduced toward the construction of this technique. These procedures are the following: 1) a hybrid technique combining the IMR technique and a method of moment technique is found to be efficient in producing accurate results with a remarkable computer memory saving; 2) the IMR technique is implemented on a parallel platform that led to a tremendous computational time saving; 3) together, the multigrid technique and the incomplete lower and upper preconditioner are used with the IMR technique to speed up the convergence rate of the final solution, which reduces the total computational time. Thus, the proposed iterative technique, in conjunction with the enhancement procedures, introduces a novel approach to solving large open-boundary electromagnetic problems including unconnected objects in an efficient and robust way. Contents: Basics of the FDFD Method / IMR Technique for Large-Scale Electromagnetic Scattering Problems: 3D Case / IMR Technique for Large-Scale Electromagnetic Scattering Problems: 2D Case / The IMR Algorithm Using a Hybrid FDFD and Method of Moments Technique / Parallelization of the Iterative Multiregion Technique / Combined Multigrid Technique and IMR Algorithm / Concluding Remarks / Appendices


Medial/Skeletal Linking Structures for Multi-Region Configurations

Medial/Skeletal Linking Structures for Multi-Region Configurations

Author: James Damon

Publisher: American Mathematical Soc.

Published: 2018-01-16

Total Pages: 180

ISBN-13: 1470426803

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The authors consider a generic configuration of regions, consisting of a collection of distinct compact regions in which may be either regions with smooth boundaries disjoint from the others or regions which meet on their piecewise smooth boundaries in a generic way. They introduce a skeletal linking structure for the collection of regions which simultaneously captures the regions' individual shapes and geometric properties as well as the “positional geometry” of the collection. The linking structure extends in a minimal way the individual “skeletal structures” on each of the regions. This allows the authors to significantly extend the mathematical methods introduced for single regions to the configuration of regions.


Microscopic Lattice Parameters in Single-and Multi-region Cores

Microscopic Lattice Parameters in Single-and Multi-region Cores

Author: P. W. Davison

Publisher:

Published: 1961

Total Pages: 380

ISBN-13:

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Light water critical experiments have been performed in order to measure microscopic parameters and conversion ratios in single region and multi-region cores containing slightly enriched, stainless steel clad, UO2 fuel rods. The experimental results were analyzed with multi-group codes which were supplemented for the resonance energy by a Monte Carlo code. Experimental and analytical results are presented along with a description of experimental and analystical investigations performed in order to account for discrepancies between theory and experiment.


Techniques for Evaluating the Differences in Multiregional Input-Output Databases

Techniques for Evaluating the Differences in Multiregional Input-Output Databases

Author: Anne Owen

Publisher: Springer

Published: 2017-02-10

Total Pages: 236

ISBN-13: 331951556X

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This book introduces the Eora, Global Trade Analysis Project (GTAP) and World Input-Output (WIOD) databases and provides detailed metadata on the data sources, database structures and construction techniques used to build each system. It offers a detailed account of how multi-regional input–output (MRIO) databases are used to calculate consumption-based accounts – guiding the reader through each mathematical step and explaining the associated equations. It demonstrates that different MRIO databases calculate different national level consumption-based CO2 accounts. If these results are to be used as evidence in climate policy-making, analysts need to be confident about the accuracy of the databases and understand why the results differ. It carefully explains the mathematical equations behind each technique and provides a link to a repository where the reader can access specially prepared MATLAB functions associated with the techniques. To make meaningful comparisons between the three MRIO databases, each is mapped to a consistent classification system comprising 40 countries and 17 sectors. Further, readers can access the aggregated databases using the link provided. The effect of this aggregation is shown to be minimal, so readers can be confident that the aggregated versions of each database reflect the full-sized versions. The book concludes by making recommendations as to how future MRIO databases could be accurately and consistently constructed and how they should be used in policy-making in light of the findings. Endorsement Anne Owen did a splendid job in comparing the most important Global Multiregional Input Output databases (GMRIO) available. She probably is the first to develop a good understanding what factors in GMRIO construction really contribute to uncertainties in carbon footprint analysis. A great achievement, packed in easy to understand language! Prof. Arnold Tukker Scientific director CML Leiden, NL With its thorough investigations and clear explanations of the differences in MRIO databases and outcomes, this book is compulsory reading for both skilled practitioners and scholars when starting any input-output analysis in a multiregional context. Dr. Harry C. Wilting Senior researcher, environment and economics PBL Netherlands Environmental Assessment Agency, NL A novel exposition on understanding some of the biggest datasets underpinning current global sustainability assessments. Dr. Owen straddles technical incision with practitioner relevant insights and includes a range of methodological advances that will ensure the continued relevance of this work for many years to come. Prof. Richard Wood Industrial Ecology Program NTNU, Norway


Multiregional Clinical Trials for Simultaneous Global New Drug Development

Multiregional Clinical Trials for Simultaneous Global New Drug Development

Author: Joshua Chen

Publisher: CRC Press

Published: 2016-04-21

Total Pages: 367

ISBN-13: 1498701485

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In a global clinical development strategy, multiregional clinical trials (MRCTs) are vital in the development of innovative medicines. Multiregional Clinical Trials for Simultaneous Global New Drug Development presents a comprehensive overview on the current status of conducting MRCTs in clinical development. International experts from academia, in


Applied Multiregional Demography Through Problems

Applied Multiregional Demography Through Problems

Author: Andrei Rogers

Publisher: Springer Nature

Published: 2020-03-17

Total Pages: 162

ISBN-13: 303038215X

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Written by the 2018 Mindel C. Sheps Award winner, this textbook offers a unique method for teaching how to model spatial (multiregional) population dynamics through models of increasing complexity. Each chapter in this programmed workbook starts with a descriptive text, followed by a sequence of exercises focused on particular multiregional models, of increasing complexity, and then ends with the solutions. It extends the current developments in the spatial analysis of social data towards improving our understanding of dynamics and interacting change across multiple populations in space. Frameworks for analyzing such dynamics were first proposed in multiregional demography, over 40 years ago. This book revisits these methods and then illustrates how they may be used to analyze spatial data and study spatial population dynamics. Topics covered include spatial population dynamics, population projections and estimations, spatial and age structure of migration flows and much more. As such this innovative textbook is a great teaching and learning tool for teachers, students as well as individuals who want to study demographic processes across space.