Code-verification techniques for the method-of-moments implementation of the electric-field integral equation

Freno, Brian A.; Matula, Neil R.; Owen, Justin I.; Johnson, William A.

doi:10.1016/j.jcp.2021.110891

Cited by 8 publications

(4 citation statements)

References 53 publications

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“…These disciplines include aerodynamics [20], fluid dynamics [21][22][23][24][25][26][27], solid mechanics [28], fluidstructure interaction [29,30], heat transfer in fluid-solid interaction [31], multiphase flows [32,33], radiation hydrodynamics [34], electrostatics [35], electrodynamics [36,37], magneto-hydrodynamics [38], and ablation [39][40][41][42][43]. For electromagnetic SIEs, code-verification activities that employ manufactured solutions have been limited to the EFIE [44][45][46][47] and, more recently, the MFIE [48].…”

Section: Introductionmentioning

confidence: 99%

“…Freno et al [46] manufacture the Green's function, permitting the numerical-integration error to be eliminated and the solution-discretization error to be isolated. Freno et al [47] also provide approaches to isolate the numerical-integration error. For the MFIE, Freno and Matula [48] isolate and measure the solution-discretization error and numerical-integration error.…”

Section: Introductionmentioning

confidence: 99%

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Code-Verification Techniques for the Method-of-Moments Implementation of the Combined-Field Integral Equation

Freno¹,

Matula²

2023

Preprint

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Code verification plays an important role in establishing the credibility of computational simulations by assessing the correctness of the implementation of the underlying numerical methods. In computational electromagnetics, the numerical solution to integral equations incurs multiple interacting sources of numerical error, as well as other challenges, which render traditional code-verification approaches ineffective. In this paper, we provide approaches to separately measure the numerical errors arising from these different error sources for the method-of-moments implementation of the combined-field integral equation. We demonstrate the effectiveness of these approaches for cases with and without coding errors.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Code-Verification Techniques for the Method-of-Moments Implementation of the Combined-Field Integral Equation

Freno¹,

Matula²

2023

Preprint

View full text Add to dashboard Cite

show abstract

“…The method-of-moments implementation of the electric-field integral equation (EFIE) yields many codeverification challenges due to the various sources of numerical error and their possible interactions [1,2]. Matters are further complicated by singular integrals, which arise from the presence of a Green's function.…”

Section: Introductionmentioning

confidence: 99%

“…EFIE: Cases. truncation error is computed by factoring out h 2 , so that and the truncation and discretization errors are of the same order in(2). For the cases with δ,…”

mentioning

confidence: 99%