An elementary formula for computing shape derivatives of EFIE system matrix
Provides an efficient method for computing shape derivatives in computational electromagnetics, incremental improvement over existing numerical differentiation techniques.
Derived analytical shape derivative formulas for the EFIE system matrix with Raviart-Thomas basis functions, achieving excellent agreement with automatic differentiation and finite differences.
We derive analytical shape derivative formulas 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 excellent agreement.