Parallel Solution of Integral Equation-Based EM Problems in the Frequency Domain

A step-by-step guide to parallelizing cem codes

The future of computational electromagnetics is changing drastically as the new generation of computer chips evolves from single-core to multi-core. The burden now falls on software programmers to revamp existing codes and add new functionality to enable computational codes to run efficiently on this new generation of multi-core CPUs. In this book, you'll learn everything you need to know to deal with multi-core advances in chip design by employing highly efficient parallel electromagnetic code. Focusing only on the Method of Moments (MoM), the book covers:

• In-Core and Out-of-Core LU Factorization for Solving a Matrix Equation

• A Parallel MoM Code Using RWG Basis Functions and ScaLAPACK-Based In-Core and Out-of-Core Solvers
• A Parallel MoM Code Using Higher-Order Basis Functions and ScaLAPACK-Based In-Core and Out-of-Core Solvers
• Turning the Performance of a Parallel Integral Equation Solver
• Refinement of the Solution Using the Conjugate Gradient Method
• A Parallel MoM Code Using Higher-Order Basis Functions and Plapack-Based In-Core and Out-of-Core Solvers
• Applications of the Parallel Frequency Domain Integral Equation Solver

Appendices are provided with detailed information on the various computer platforms used for computation; a demo shows you how to compile ScaLAPACK and PLAPACK on the Windows® operating system; and a demo parallel source code is available to solve the 2D electromagnetic scattering problems.

Parallel Solution of Integral Equation-Based EM Problems in the Frequency Domain is indispensable reading for computational code designers, computational electromagnetics researchers, graduate students, and anyone working with CEM software.

Chapter 1 Introduction 1

Chapter 2 In-Core and Out-of-Core LU Factorization for Solving a Matrix Equation 27

Chapter 3 A Parallel MoM Code Using RWG Basis Functions and ScaLAPACK-Based In-Core and Out-of-Core Solvers 71

Chapter 4 A Parallel MoM Code Using Higher-Order Basis Functions and ScaLAPACK-Based In-Core and Out-of-Core Solvers 107

Chapter 5 Tuning the Performance of a Parallel Integral Equation Solver 157

Chapter 6 Refinement of the Solution Using the Iterative Conjugate Gradient Method 207

Chapter 7 A Parallel MoM Code Using Higher Order Basis Functions and PLAPACK Based In-Core and Out-of-Core Solvers 219

Chapter 8 Applications of the Parallel Frequency-Domain Integral Equation Solver—TIDES 233

Appendix A: A Summary of the Computer Platforms Used in This Book 275

Appendix B: An Efficient Cross-Platform Compilation of the ScaLAPACK and PLAPACK Routines 287

Yu Zhang is an Associate Professor at Xidian University and currently works at Syracuse University. He authored the book Parallel Computation in Electromagnetics as well as over seventy journal papers and thirty conference papers. His research is focused on computational electromagnetics with an interest in antenna design, EMC simulation, and signal processing.

Tapan K. Sarkar is a Professor in the Department of Electrical and Computer Engineering at Syracuse University. His current research interests deal with numerical solutions of operator equations arising in electromagnetics and signal processing with applications in system design. He has authored or coauthored more than 300 journal articles, numerous conference papers, and thirty-two book chapters. He is the author of fifteen books, including Smart Antennas, History of Wireless, and Physics of Multiantenna Systems and Broadband Processing (all published by Wiley).

A STEP-BY-STEP GUIDE TO PARALLELIZING CEM CODES

The future of computational electromagnetics is changing drastically as the new generation of computer chips evolves from single-core to multi-core. The burden now falls on software programmers to revamp existing codes and add new functionality to enable computational codes to run efficiently on this new generation of multi-core CPUs. In this book, you'll learn everything you need to know to deal with multi-core advances in chip design by employing highly efficient parallel electromagnetic code. Focusing only on the Method of Moments (MoM), the book covers:

• In-Core and Out-of-Core LU Factorization for Solving a Matrix Equation
• A Parallel MoM Code Using RWG Basis Functions and ScaLAPACK-Based In-Core and Out-of-Core Solvers
• A Parallel MoM Code Using Higher-Order Basis Functions and ScaLAPACK-Based In-Core and Out-of-Core Solvers
• Turning the Performance of a Parallel Integral Equation Solver
• Refinement of the Solution Using the Conjugate Gradient Method
• A Parallel MoM Code Using Higher-Order Basis Functions and PLAPACK-Based In-Core and Out-of-Core Solvers
• Applications of the Parallel Frequency Domain Integral Equation Solver

Appendices are provided with detailed information on the various computer platforms used for computation; a demo shows you how to compile ScaLAPACK and PLAPACK on the Windows® operating system; and a demo parallel source code is available to solve the 2D electromagnetic scattering problems.

Parallel Solution of Integral Equation-Based EM Problems in the Frequency Domain is indispensable reading for computational code designers, computational electromagnetics researchers, graduate students, and anyone working with CEM software.