Computational electromagnetics is an active research area concerned with the development and implementation of numerical methods and techniques for rigorous solutions to physical problems across the entire spectrum of electromagnetic waves - from radio frequencies to gamma rays. Numerical methods and techniques developed and implemented in this area are now used every day to solve complex problems in diverse application areas, including but not limited to antennas, telecommunications, biomedical imaging, sensing, energy harvesting, nanotechnology, and optics. The purpose of this book is to provide a broad overview of the recent efforts in computational electromagnetics to develop and implement more robust, stable, accurate, and efficient algorithms.
After an extensive overview of the main trends in computational electromagnetics, individual chapters written by international experts explore the state-of-the-art in frequency-domain surface integration; frequency-domain volume integral equations; time-domain integral equations; time-domain methods for plasmonic media; finite element methods; geometric modelling and discretization for integral equations; hierarchical vector basis functions; analysis of electromagnetic fields in multi-layered media; acceleration and parallelization techniques; periodic problems and determining related eigenvalues; algebraic preconditioning; high-frequency techniques and hybridizations; and uncertainty quantification for large-scale electromagnetic analysis.
- Chapter 2: New Trends in Computational Electromagnetics
- Chapter 3: New Trends in Frequency-Domain Surface Integration
- Chapter 4: New Trends in Frequency-Domain Volume Integral Equations
- Chapter 5: New Trends in Time-Domain Integral Equations
- Chapter 6: New Trends in Time-Domain Methods for Plasmonic Media
- Chapter 7: New Trends in Finite Element Methods
- Chapter 8: New Trends in Geometric Modelling and Discretization for Integral Equations
- Chapter 9: New Trends in Hierarchical Vector Basis Functions
- Chapter 10: New Trends in Analysis of Electromagnetic Fields in Multi-layered Media
- Chapter 11: New Trends in Acceleration and Parallelization Techniques
- Chapter 12: New Trends in Periodic Problems and Determining Related Eigenvalues
- Chapter 13: New Trends in Algebraic Preconditioning
- Chapter 14: New Trends in High-Frequency Techniques and Hybridizations
- Chapter 15: New Trends in Uncertainty Quantification for Large-Scale Electromagnetic Analysis: From Tensor Product Cubature Rules to Spectral Quantic Tensor-Train Approximation
Middle East Technical University (METU), Department of Electrical and Electronics Engineering, Ankara, Turkey.
Özgür Ergül is an Associate Professor in the Department of Electrical and Electronics Engineering at Middle East Technical University (METU), Ankara, Turkey. His research interests include fast and accurate algorithms for the solution of electromagnetics problems involving large and complicated structures, integral equations, iterative methods, parallel programming, and high-performance computing.