,RECURSIVE INTEGRAL METHOD FOR THE NONLINEAR NON-SELFADJOINT TRANSMISSION EIGENVALUE PROBLEM

• 作 者: Yingxia Xi Xia Ji
• 机 构: LSEC, NCMIS, Institute of Computational Mathematics, Academy of Mathematics and Systems Science, Chi
• 出 处: 计算数学（英文版）
• 发表日期: 2017年6期
• 关键词: Transmission eigenvalue problem Nonlinear eigenvalue problem Contour integrals

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 conpute real and complex eigenvalues in prescribed regions in the complex plane.Numerical examples are presented to demonstrate the effectiveness of the proposed method.