scholarly journals An MPI-OpenMP Hybrid ParallelH-LU Direct Solver for Electromagnetic Integral Equations

2015 ◽  
Vol 2015 ◽  
pp. 1-10 ◽  
Author(s):  
Han Guo ◽  
Jun Hu ◽  
Zaiping Nie
Keyword(s):  
Integral Equations ◽  
Electromagnetic Scattering ◽  
Message Passing ◽  
High Performance ◽  
Parallel Method ◽  
Scattering Problems ◽  
Direct Solver ◽  
3D Objects ◽  
Fast Solver ◽  
Fast Direct Solver

In this paper we propose a high performance parallel strategy/technique to implement the fast direct solver based on hierarchical matrices method. Our goal is to directly solve electromagnetic integral equations involving electric-large and geometrical-complex targets, which are traditionally difficult to be solved by iterative methods. The parallel method of our direct solver features both OpenMP shared memory programming and MPl message passing for running on a computer cluster. With modifications to the core direct-solving algorithm of hierarchical LU factorization, the new fast solver is scalable for parallelized implementation despite of its sequential nature. The numerical experiments demonstrate the accuracy and efficiency of the proposed parallel direct solver for analyzing electromagnetic scattering problems of complex 3D objects with nearly 4 million unknowns.

Using Parallel Processing as a Computational Tool to Solve Multi-Plate Electromagnetic Scattering Problems

1998 ◽  
Vol 08 (04) ◽  
pp. 535-545
Author(s):  
Andy Marsh ◽  
Dimitra I. Kaklamani ◽  
Konstantinos Adam
Keyword(s):  
Electromagnetic Scattering ◽  
High Performance ◽  
Scattering Problem ◽  
Resonance Region ◽  
Computational Tool ◽  
Parallel Method ◽  
Scattering Problems ◽  
Worked Example ◽  
Integral Equation Formulation ◽  
Performance Computing

The Parallel Method of Moments (PMoM) technique is used to solve electrically large multi-plate scattering problems. After introducing the PMoM, an integral equation formulation in conjunction with an entire domain Galerkin technique is employed to analyse the multi-plate scattering problem. The resulting algorithm parallelisation enables for the proposed approach to be applied above the resonance region. Numerical results and computational times concerning a specific worked example are presented, using High Performance Computing purely as a computational tool.

scholarly journals P-FFT Accelerated EFIE with a Novel Diagonal Perturbed ILUT Preconditioner for Electromagnetic Scattering by Conducting Objects in Half Space

2015 ◽  
Vol 2015 ◽  
pp. 1-9 ◽  
Author(s):  
Lan-Wei Guo ◽  
Yongpin Chen ◽  
Jun Hu ◽  
Joshua Le-Wei Li
Keyword(s):  
Integral Equation ◽  
Electric Field ◽  
Half Space ◽  
Electromagnetic Scattering ◽  
High Performance ◽  
Three Dimensional ◽  
Scattering Problems ◽  
Geometrical Structures ◽  
Incomplete Lu Factorization ◽  
Field Integral

A highly efficient and robust scheme is proposed for analyzing electromagnetic scattering from electrically large arbitrary shaped conductors in a half space. This scheme is based on the electric field integral equation (EFIE) with a half-space Green’s function. The precorrected fast Fourier transform (p-FFT) is first extended to a half space for general three-dimensional scattering problems. A novel enhanced dual threshold incomplete LU factorization (ILUT) is then constructed as an effective preconditioner to improve the convergence of the half-space EFIE. Inspired by the idea of the improved electric field integral operator (IEFIO), the geometrical-optics current/principle value term of the magnetic field integral equation is used as a physical perturbation to stabilize the traditional ILUT perconditioning matrix. The high accuracy of EFIE is maintained, yet good calculating efficiency comparable to the combined field integral equation (CFIE) can be achieved. Furthermore, this approach can be applied to arbitrary geometrical structures including open surfaces and requires no extra types of Sommerfeld integrals needed in the half-space CFIE. Numerical examples are presented to demonstrate the high performance of the proposed solver among several other approaches in typical half-space problems.

scholarly journals Applying Loop-Flower Basis Functions to Analyze Electromagnetic Scattering Problems of PEC Scatterers

2014 ◽  
Vol 2014 ◽  
pp. 1-9 ◽  
Author(s):  
Gaobiao Xiao
Keyword(s):  
Integral Equations ◽  
Electromagnetic Scattering ◽  
Basis Functions ◽  
Surface Integral ◽  
Scattering Problems ◽  
Low Frequencies ◽  
Electrically Conducting ◽  
Surface Integral Equations

This paper discusses the application of loop-flower basis functions for solving surface integral equations involved in electromagnetic scattering problems on perfectly electrically conducting surfaces. Flower-shaped basis functions are proposed to replace the conventional star basis functions. The flower basis functions are defined based on mesh nodes instead of surface triangles. It is shown that the loop-flower basis functions not only can be used to handle the electromagnetic scattering problems at very low frequencies, but also can be directly used to implement Calderon preconditioners for EFIEs.

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