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

by Y. Zhang; T. K. Sarkar ( )

• ISBN13: 9780470495087
• ISBN10: 0470495081
• Format: eBook
• Copyright: 2009-06-01
• Publisher: Wiley-IEEE Press

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.

Table of Contents

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

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