6533b82cfe1ef96bd129001e
RESEARCH PRODUCT
On shape differentiation of discretized electric field integral equation
Jukka I. ToivanenJuhani Katajasubject
ta113Discretizationta213Automatic differentiationApplied MathematicsMathematical analysista111General EngineeringFinite differenceBasis functionMethod of moments (statistics)Electric-field integral equationComputational MathematicsShape optimizationSensitivity (control systems)AnalysisMathematicsdescription
Abstract This work presents shape derivatives of the system matrix representing electric field integral equation discretized with Raviart–Thomas basis functions. The arising integrals are easy to compute with similar methods as the entries of the original system matrix. The results are compared to derivatives computed with automatic differentiation technique and finite differences, and are found to be in an excellent agreement. Furthermore, the derived formulas are employed to analyze shape sensitivity of the input impedance of a planar inverted F-antenna, and the results are compared to those obtained using a finite difference approximation.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2013-09-01 | Engineering Analysis with Boundary Elements |