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math.NA2024★ 3 cited
Analysis of a finite element DtN method for scattering resonances of sound hard obstacles
Yingxia Xi, Bo Gong, Jiguang Sun
Scattering resonances have important applications in many areas of science and engineering. They are the replacement of discrete spectral data for problems on non-compact domains.…
math.NA2024
A finite element contour integral method for computing the resonances of metallic grating structures with subwavelength holes
Yingxia Xi, Junshan Lin, Jiguang Sun
We consider the numerical computation of resonances for metallic grating structures with dispersive media and small slit holes. The underlying eigenvalue problem is nonlinear and t…
math.NA2024
Parallel Multi-Step Contour Integral Methods for Nonlinear Eigenvalue Problems
Yingxia Xi, Jiguang Sun
We consider nonlinear eigenvalue problems to compute all eigenvalues in a bounded region on the complex plane. Based on domain decomposition and contour integrals, two robust and s…