7 citations · 10 across the 9 of their papers we have counts for
10 papers
Imaging-Derived Coronary Fractional Flow Reserve: Advances in Physics-Based, Machine Learning, and Physics-Informed Methods
Tanxin Zhu, Emran Hossen, Chen Zhao +4
Purpose of Review Imaging derived fractional flow reserve (FFR) is rapidly evolving beyond conventional computational fluid dynamics (CFD) based pipelines toward machine learning (…
Fourier-Galerkin method for scattering poles of sound soft obstacles
Yunyun Ma, Jiguang Sun
The computation of scattering poles for a sound-soft obstacle is investigated. These poles correspond to the eigenvalues of two boundary integral operators. We construct novel deco…
Operator Inference for Elliptic Eigenvalue Problems
Haoqian Li, Jiguang Sun, Zhiwen Zhang
Eigenvalue problems for elliptic operators play an important role in science and engineering applications, where efficient and accurate numerical computation is essential. In this…
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.…
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…
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…
Quadratic and cubic Lagrange finite elements for mixed Laplace eigenvalue problems on criss-cross meshes
Kaibo Hu, Jiguang Sun, Qian Zhang
In [6], it was shown that the linear Lagrange element space on criss-cross meshes and its divergence exhibit spurious eigenvalues when applied in the mixed formulation of the Lapla…
The anisotropic interior transmission eigenvalue problem with a conductive boundary
Victor Hughes, Isaac Harris, Jiguang Sun
In this paper, we study the transmission eigenvalue problem for an anisotropic material with a conductive boundary. We prove that the transmission eigenvalues for this problem exis…
Recursive Integral Method with Cayley Transformation
R. Huang, J. Sun, C. Yang
Recently, a non-classical eigenvalue solver, called RIM, was proposed to compute (all) eigenvalues in a region on the complex plane. Without solving any eigenvalue problem, it test…