TY - JOUR
T1 - Recursive Integral Method for the Nonlinear Non-Self-Adjoint Transmission Eigenvalue Problem
AU - Xi , Yingxia
AU - Ji , Xia
JO - Journal of Computational Mathematics
VL - 6
SP - 828
EP - 838
PY - 2017
DA - 2017/12
SN - 35
DO - http://doi.org/10.4208/jcm.1701-m2015-0443
UR - https://global-sci.org/intro/article_detail/jcm/10497.html
KW - Transmission eigenvalue problem, Nonlinear eigenvalue problem, Contour integrals.
AB - <p style="text-align: justify;">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, the transmission eigenvalue problem is discretized by the Morley element. For the resulting quadratic eigenvalue problem, a recursive integral method is used to compute real and complex eigenvalues in prescribed regions in the complex plane. Numerical examples are presented to demonstrate the effectiveness of the proposed method.</p>