@Article{JCM-35-6, author = {Yingxia, Xi and Xia, Ji}, 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 = {https://global-sci.com/article/84541/recursive-integral-method-for-the-nonlinear-non-self-adjoint-transmission-eigenvalue-problem} }