Fast Frequency and Material Properties Sweeps for Quasi-Static Problems

We introduce a novel technique that speeds up the computation of a frequency sweep or some parametric change of material properties-assumed uniform over the entire domain-around a nominal value in electroquasi-static problem or magnetoquasi-static problem. In place of using the usual practice of solving the complex systems arising at each frequency and at each material parameter value independently, our technique requires only one factorization of a real, symmetric, and positive definite matrix. The solution at each frequency and each value of material parameter is, then, found with a few back-substitutions only. The obtained speedup is sensible and the implementation is straightforward, showing the usefulness of the proposed technique in practical applications.