5 citations · 13 across the 9 of their papers we have counts for
9 papers
Spurious-mode-free finite element method for scattering resonances in transmission problems
Bo Gong, Jiguang Sun
Scattering resonances arise in wave phenomena and play an important role in many applications. While extensive theoretical studies have been conducted, effective numerical computat…
Edge element DtN method for electromagnetic scattering poles of perfectly conducting obstacles
Bo Gong, Takumi Sato, Jiguang Sun +1
Meromorphic continuation of the scattering operator leads to scattering poles (resonances) in the complex plane. Despite their significance, numerical investigation of scattering p…
FEM-DtN-SIM Method for Computing Resonances of Schrödinger Operators
Bo Gong, Takumi Sato, Jiguang Sun +1
The study of resonances of the Schrödinger operator has a long-standing tradition in mathematical physics. Extensive theoretical investigations have explored the proximity of reson…
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.…
Regular Convergence and Finite Element Methods for Eigenvalue Problems
Bo Gong, Jiguang Sun
Regular convergence, together with various other types of convergence, has been studied since the 1970s for the discrete approximations of linear operators. In this paper, we consi…
Finite Element Calculation of Photonic Band Structures for Frequency Dependent Materials
Wenqiang Xiao, Bo Gong, Jiguang Sun +1
We consider the calculation of the band structure of frequency dependent photonic crystals. The associated eigenvalue problem is nonlinear and it is challenging to develop effectiv…
Finite Element Approximation of the Modified Maxwell's Stekloff Eigenvalues
Bo Gong, Jiguang Sun, Xinming Wu
The modified Maxwell's Stekloff eigenvalue problem arises recently from the inverse electromagnetic scattering theory for inhomogeneous media. This paper contains a rigorous analys…
Finite Element Approximation of Transmission Eigenvalues for Anisotropic Media
Bo Gong, Jiguang Sun, Tiara Turner +1
The transmission eigenvalue problem arises from the inverse scattering theory for inhomogeneous media and has important applications in many qualitative methods. The problem is pos…
A new finite element approach for the Dirichlet eigenvalue problem
Wenqiang Xiao, Bo Gong, Jiguang Sun +1
In this paper, we propose a new finite element approach, which is different than the classic Babuska-Osborn theory, to approximate Dirichlet eigenvalues. The Dirichlet eigenvalue p…