The transmission eigenvalue problem is an eigenvalue problem that arises in the scattering of time-harmonic waves by an inhomogeneous medium of compact support. Based on a fourth order formulation, ...

SIAM Journal on Numerical Analysis, Vol. 54, No. 2 (2016), pp. 1193-1228 (36 pages) In this paper we propose and study a finite element method for a curlcurl-graddiv eigenvalue interface problem. Its ...

Eigenvalue optimisation problems involve identifying design or material configurations that either maximise or minimise the eigenvalues associated with differential operators under given boundary ...

Elliptic operators play a central role in the analysis of partial differential equations, underpinning a wide range of phenomena from quantum mechanics to heat conduction. In particular, the study of ...