Mat-1.3656 Seminar on
numerical analysis and computational science
Monday, April 16, 2012, room
U322 at 14.15, Eirola & Stenberg
Juhani Kataja, A" Department of Radio Science and Engineering
An elementary formula for computing shape derivatives of EFIE system matrix
Abstract We derive analytical shape derivative formulas of the system matrix rep-
resenting electric field integral equation discretized with Raviart-Thomas basis func-
tions. 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 ex-
cellent agreement.