@Article{JCM-35-828, author = {Xi , Yingxia and Ji , Xia}, title = {Recursive Integral Method for the Nonlinear Non-Self-Adjoint Transmission Eigenvalue Problem}, journal = {Journal of Computational Mathematics}, year = {2017}, volume = {35}, number = {6}, pages = {828--838}, abstract = {

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.

}, issn = {1991-7139}, doi = {https://doi.org/10.4208/jcm.1701-m2015-0443}, url = {http://global-sci.org/intro/article_detail/jcm/10497.html} }