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Summary

a step-by-step guide to parallelizing cem codesThe 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 EquationA Parallel MoM Code Using RWG Basis Functions and ScaLAPACK-Based In-Core and Out-of-Core SolversA Parallel MoM Code Using Higher-Order Basis Functions and ScaLAPACK-Based In-Core and Out-of-Core SolversTurning the Performance of a Parallel Integral Equation SolverRefinement of the Solution Using the Conjugate Gradient MethodA Parallel MoM Code Using Higher-Order Basis Functions and Plapack-Based In-Core and Out-of-Core SolversApplications of the Parallel Frequency Domain Integral Equation SolverAppendices 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 Windowsr 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.

Preface
Acknowledgments
Acronyms
Introduction
Summary
A Brief Review of Parallel CEM
Computer Platforms Accessed in This Book
Parallel Libraries Employed for the Computations
Conclusion
References
In-Core and Out-of-Core LU Factorization for Solving a Matrix Equation
Summary
Matrix Equation from a MoM Code
An In-Core Matrix Equation Solver
Parallel Implementation of an In-Core Solver
Data Decomposition for an Out-of-Core Solver
Out-of-Core LU Factorization
Parallel Implementation of an Out-of-Core LU Algorithm
Solving a Matrix Equation Using the Out-of-Core LU Matrices
Conclusion
References
A Parallel MoM Code Using RWG Basis Functions and ScaLAPACK Based In-Core and Out-of-Core Solvers
Summary
Electric Field Integral Equation (EFIE)
Use of the Piecewise Triangular Patch (RWG Basis Functions
Testing Procedures
Matrix Equation for MoM
Calculation of the Various Integrals
Calculation of the Fields
Parallel Matrix Filling - In-Core Algorithm
Parallel Matrix Filling - Out-of-Core Algorithm
Numerical Results from a Parallel In-Core MoM Solver
Numerical Results from a Parallel Out-of-Core MoM Solver
Conclusion
References
A Parallel MoM Using Higher Order Basis Functions and ScaLAPACK Based In-Core and Out-of-Core Solvers
Summary
Formulation of the Integral Equation for Analysis of Dielectric Structures
A General Formulation for the Analysis of Composite Metallic and Dielectric Structures
Geometrical Modeling of the Structures
Higher Order Basis Functions
Testing Procedure
Parallel In-Core and Out-of-Core Matrix Filling Schemes
Numerical Results Computed on Different Platforms
Conclusion
References
Tuning the Performance of a Parallel Integral Equation Solver
Summary
Anatomy of a Parallel Out-of-Core Integral Equation Solver
Block Size
Shape of the Process Grid
Size of the In-Core Buffer Allocated to Each Process
Relationship between the Shape of the Process Grid and the In-Core Buffer Size
Overall Performance of a Parallel Out-of-Core Solver on HPC Clusters
Conclusion
References
Refinement of the Solution Using the Conjugate Gradient Method
Summary
Development of the Conjugate Gradient Method
The Iterative Solution of a Matrix Equation
Parallel Implementation of the CG Algorithm
A Parallel Combined LU-CG Scheme to Refine the LU Solution
Conclusion
References
A Parallel MoM Code Using Higher Order Basis Functions and PLAPACK Based In-Core and Out-of-Core Solvers
Summary
Introduction
Factors that Affect a Parallel In-Core and Out-of-Core Matrix Filling Algorithm
Sample Numerical Results
Conclusion
References
Applications of the Parallel Frequency Domain Integral Equation Solver
Summary
Performance Comparison between TIDES and a Commercial Electromagnetic Analysis Software
EMI/EMC Prediction for Multiple Antennas Mounted on an Electrically Large Platform
An Analysis of a 112-Element Vivaldi Antenna Array
Array Calibration for Direction-of-Arrival Estimation
RCS Calculation of Complex Targets
Analysis of Radiation Patterns of Antennas Operating Inside a Radome Along with the Platform on Which It Is Mounted
EMP Simulation for Microwave Weapon System
Conclusion
References
A Summary of the Computer Platforms Used in This Book
Summary
Description of the Platforms Used in This Book
Conclusion
References
An Efficient Cross-Platform Compiling of the ScaLAPACK and PLAPACK Routines
Summary
Tools for Compiling both ScaLAPACK and PLAPACK
Generate the ScaLAPACK Library
Generate the PLAPACK Library
Tuning the Performance by Turning on Proper Flags
Conclusion
References
An Example of a Parallel MoM Source Code for Analysis of 2D EM Scattering
Summary
Introduction of MoM
Solution of a Two Dimensional Scattering Problem
Implementation of a Serial MoM Code
Implementation of a Parallel MoM code
Compilation and Execution of the Parallel Code
Conclusion
References
Index
Table of Contents provided by Publisher. All Rights Reserved.

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