Code verification for practically singular equations
- Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)
We report the method-of-moments implementation of the electric-field integral equation (EFIE) yields many code-verification challenges due to the various sources of numerical error and their possible interactions. Matters are further complicated by singular integrals, which arise from the presence of a Green's function. To address these singular integrals, an approach is presented in wherein both the solution and Green's function are manufactured. Because the arising equations are poorly conditioned, they are reformulated as a set of constraints for an optimization problem that selects the solution closest to the manufactured solution. In this paper, we demonstrate how, for such practically singular systems of equations, computing the truncation error by inserting the exact solution into the discretized equations cannot detect certain orders of coding errors. On the other hand, the discretization error from the optimal solution is a more sensitive metric that can detect orders less than those of the expected convergence rate.
- Research Organization:
- Sandia National Laboratories (SNL-NM), Albuquerque, NM (United States)
- Sponsoring Organization:
- USDOE National Nuclear Security Administration (NNSA)
- Grant/Contract Number:
- NA0003525
- OSTI ID:
- 1887410
- Alternate ID(s):
- OSTI ID: 1887482
- Report Number(s):
- SAND2022-11812J; 709509
- Journal Information:
- Journal of Computational Physics, Journal Name: Journal of Computational Physics Vol. 470; ISSN 0021-9991
- Publisher:
- ElsevierCopyright Statement
- Country of Publication:
- United States
- Language:
- English
Manufactured solutions for the method-of-moments implementation of the electric-field integral equation
|
journal | October 2021 |
Code-verification techniques for the method-of-moments implementation of the electric-field integral equation
|
journal | February 2022 |
Electromagnetic scattering by surfaces of arbitrary shape
|
journal | May 1982 |
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