Eigenvalue problems are a cornerstone of modern applied mathematics, arising in diverse fields from quantum mechanics to structural engineering. At their heart, these problems seek scalar values and ...

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 ...

We analyze the approximation of a vibro-acoustic eigenvalue problem for an elastic body which is submerged in a compressible inviscid fluid in ℝ3. As a model, the time-harmonic elastodynamic and the ...

Eigenvalue problems are fundamental to understanding the spectral characteristics of photonic and plasmonic systems. These problems involve determining the intrinsic resonant frequencies and modes of ...