Solving large complex problems using a higher-order basis: parallel in-core and out-of-core integral-equation solvers

Zhang, Yu; Taylor, Mary E.; Sarkar, Tapan K.; Moon, Hwan Pyo; Yuan, Mengtao

doi:10.1109/map.2008.4653660

Cited by 35 publications

(22 citation statements)

References 9 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…1) Block Matrices: The parallel LU decomposition based on the ScaLAPACK [3] library package is employed as the solver and the block storage scheme is designed accordingly.…”

Section: Parallelization Of Mom With Out-of-core Techniquementioning

confidence: 99%

“…In the parallel scheme using HOBs, redundant calculations related to the evaluation of the potential functions can be avoided within each process by using a flag, set true or false, for each order of the polynomial on a geometric element. The corresponding pseudocode was given in [3].…”

Section: Parallelization Of Mom With Out-of-core Techniquementioning

confidence: 99%

“…The radiation patterns obtained using the proposed MoM-PO with ε = 10 −3 , the coupled MoM-PO in FEKO software [25], and the parallel higher-order MoM [3] are plotted together in Figure 6. For the MoM-PO methods, the horn is in the MoM region and the reflector is in the PO region.…”

Section: Comparison With the Commercial Softwarementioning

confidence: 99%

“…The constant development of the computer technology sets objectives more and more ambitious for the electromagnetic solvers, as described by Taboada et al in [1]. Parallel technology has been used in various CEM methods, such as the Method of Moments (MoM) [2][3][4][5], Fast Multipole Method (FMM) [1,6,7], Finite Element Method (FEM) [8] and FiniteDifference Time-Domain method (FDTD) [9][10].…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Parallel Mom-Po Method With Out-of-Core Technique for Analysis of Complex Arrays on Electrically Large Platforms

Zhao¹,

Zhang²,

García-Doñoro³

et al. 2010

PIER

View full text Add to dashboard Cite

Abstract-A Message Passing Interface (MPI) parallel implementation of a hybrid solver that combines the Method of Moments (MoM) with higher order basis functions and Physical Optics (PO) has been successfully used to solve a challenging problem including a 2160-slot waveguide array on an airplane with a maximum dimension larger than 1000 wavelengths. The block-partitioned scheme for the large dense MoM matrix combined with the process-cyclic scheme for the PO discretized triangles is designed to achieve excellent load balance and high parallel efficiency. To break the limitation of physical memory, the parallel out-of-core technique is introduced to tackle large dense systems generated using the MoM formulation. This research provides a solution with reasonable accuracy for solving large on-board antenna problems but has very low memory usage.

show abstract

“…1) Block Matrices: The parallel LU decomposition based on the ScaLAPACK [3] library package is employed as the solver and the block storage scheme is designed accordingly.…”

Section: Parallelization Of Mom With Out-of-core Techniquementioning

confidence: 99%

Section: Parallelization Of Mom With Out-of-core Techniquementioning

confidence: 99%

Section: Comparison With the Commercial Softwarementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Parallel Mom-Po Method With Out-of-Core Technique for Analysis of Complex Arrays on Electrically Large Platforms

Zhao¹,

Zhang²,

García-Doñoro³

et al. 2010

PIER

View full text Add to dashboard Cite

show abstract

“…And the hybrid MOM-PO method based parallel was proposed in [8] to deduce the computational time. Commercial software HOBIES [9][10][11] (Higher-order Basis functions based Integral Equation Solver), is a general purpose Frequency Domain Electromagnetic integral equation solver. HOBIES provides solutions based on MoM employing higher order basis functions.…”

Section: Introductionmentioning

confidence: 99%

Analysis of Complex Antenna Around Electrically Large Platform Using Iterative Vector Fields and Utd Method

He¹,

Huang²,

Liang³

2009

PIER M

View full text Add to dashboard Cite

Abstract-A new efficient technique for the analysis of complex antenna around a scatterer is proposed in this paper, termed the iterative vector fields with uniform geometrical theory of diffraction (UTD) technique. The complex field vector components on the closed surface enclosing the antenna without platform are computed by higher order Method of Moments (MOM), and the scattered fields from the platform are calculated by UTD method. The process of iteration is implemented according to the equivalence theorem. Based on this approach, an approximation method is outlined, in which the computational time is saved largely, while the accuracy is not reduced. The relative patterns obtained from the present method and the approximation method both show good agreements with that obtained from MOM.

show abstract

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

2009

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

View full text Add to dashboard Cite

Solving large complex problems using a higher-order basis: parallel in-core and out-of-core integral-equation solvers

Cited by 35 publications

References 9 publications

Parallel Mom-Po Method With Out-of-Core Technique for Analysis of Complex Arrays on Electrically Large Platforms

Parallel Mom-Po Method With Out-of-Core Technique for Analysis of Complex Arrays on Electrically Large Platforms

Analysis of Complex Antenna Around Electrically Large Platform Using Iterative Vector Fields and Utd Method

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

Contact Info

Product

Resources

About