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Informationen zum Autor 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). Klappentext 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 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 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 Windows(r) 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. Zusammenfassung Method of Moments (MoM) remains one of the most powerful numerical methods of the past several decades and a powerful weapon for the solution of current complex Electromagnetic field problems. Parallel Solution of EM Problems in the Frequency Domain provides complete coverage of parallel electromagnetic simulation techniques for Method of Moments. Inhaltsverzeichnis 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 Pla...
List of contents
Preface.
Acknowledgments.
Acronyms.
Chapter 1 Introduction.
1.0 Summary.
1.1 A Brief Review of Parallel CEM.
1.2 Computer Platforms Accessed in This Book.
1.3 Parallel Libraries Employed for the Computations.
1.4 Conclusion.
References.
Chapter 2 In-Core and Out-of-Core LU Factorization for Solving a Matrix Equation.
2.0 Summary.
2.1 Matrix Equation from a MoM Code.
2.2 An In-Core Matrix Equation Solver.
2.3 Parallel Implementation of an In-Core Solver.
2.4 Data Decomposition for an Out-of-Core Solver.
2.5 Out-of-Core LU Factorization.
2.6 Parallel Implementation of an Out-of-Core LU Algorithm.
2.7 Solving a Matrix Equation Using the Out-of-Core LU Matrices.
2.8 Conclusion.
References.
Chapter 3 A Parallel MoM Code Using RWG Basis Functions and ScaLAPACK-Based In-Core and Out-of-Core Solvers.
3.0 Summary.
3.1 Electric Field Integral Equation (EFIE).
3.2 Use of the Piecewise Triangular Patch (RWG) Basis Functions.
3.3 Testing Procedure.
3.4 Matrix Equation for MoM.
3.5 Calculation of the Various Integrals.
3.6 Calculation of the Fields.
3.7 Parallel Matrix Filling - In-Core Algorithm.
3.8 Parallel Matrix Filling - Out-of-Core Algorithm.
3.9 Numerical Results from a Parallel In-Core MoM Solver.
3.10 Numerical Results from a Parallel Out-of-Core MoM Solver.
3.11 Conclusion.
References.
Chapter 4 A Parallel MoM Code Using Higher-Order Basis Functions and ScaLAPACK-Based In-Core and Out-of-Core Solvers.
4.0 Summary.
4.1 Formulation of the Integral Equation for Analysis of Dielectric Structures.
4.2 A General Formulation for the Analysis of Composite Metallic and Dielectric Structures.
4.3 Geometric Modeling of the Structures.
4.4 Higher-Order Basis Functions.
4.5 Testing Procedure.
4.6 Parallel In-Core and Out-of-Core Matrix Filling Schemes.
4.7 Numerical Results Computed on Different Platforms.
4.8 Conclusion.
References.
Chapter 5 Tuning the Performance of a Parallel Integral Equation Solver.
5.0 Summary.
5.1 Anatomy of a Parallel Out-of-Core Integral Equation Solver.
5.2 Block Size.
5.3 Shape of the Process Grid.
5.4 Size of the In-Core Buffer Allocated to Each Process.
5.5 Relationship between the Shape of the Process Grid and the In-Core Buffer Size.
5.6 Overall Performance of a Parallel Out-of-Core Solver on HPC Clusters.
5.7 Conclusion.
References.
Chapter 6 Refinement of the Solution Using the Iterative Conjugate Gradient Method.
6.0 Summary.
6.1 Development of the Conjugate Gradient Method.
6.2 The Iterative Solution of a Matrix Equation.
6.3 Parallel Implementation of the CG Algorithm.
6.4 A Parallel Combined LU-CG Scheme to Refine the LU Solution.
6.5 Conclusion.
References.
Chapter 7 A Parallel MoM Code Using Higher Order Basis Functions and PLAPACK Based In-Core and Out-of-Core Solvers.
7.0 Summary.
7.1 Introduction.
7.2 Factors that Affect a Parallel In-Core and Out-of-Core Matrix Filling Algorithm.
7.3 Numerical Results.
7.4 Conclusion.
References.
Chapter 8 Applications of the Parallel Frequency-Domain Integral Equation Solver--TIDES.
8.0 Summary.
8.1 Performance Comparison between TID
