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171 papers · 1 filter
A variant of the plane wave least squares method for the time-harmonic Maxwell's equations
Qiya Hu, Rongrong Song
In this paper we are concerned with the plane wave method for the discretization of time-harmonic Maxwell's equations in three dimensions. As pointed out in [6], it is difficult to…
A novel divergence-free Finite Element Method for the MHD Kinematics equations using Vector-potential
Lingxiao Li
We propose a new mixed finite element method for the three-dimensional steady magnetohydrodynamic (MHD) kinematics equations for which the velocity of the fluid is given. Although…
Partial-skew-orthogonal polynomials and related integrable lattices with Pfaffian tau-functions
Xiang-Ke Chang, Yi He, Xing-Biao Hu +1
Skew-orthogonal polynomials (SOPs) arise in the study of the n-point distribution function for orthogonal and symplectic random matrix ensembles. Motivated by the average of charac…
Global structure and regularity of solutions to the Eikonal equation
Tian-Hong Li, JingHua Wang, HaiRui Wen
The time dependent Eikonal equation is a Hamilton-Jacobi equation with Hamiltonian , which is not strictly convex nor smooth. The regularizing effect of Hamiltonian for t…
An Efficient Multigrid Method for Ground State Solution of Bose-Einstein Condensates
Hehu Xie, Fei Xu, Ning Zhang
An efficient multigrid method is proposed to compute the ground state solution of Bose-Einstein condensations by the finite element method based on the combination of the multigrid…
Bayesian Joint Matrix Decomposition for Data Integration with Heterogeneous Noise
Chihao Zhang, Shihua Zhang
Matrix decomposition is a popular and fundamental approach in machine learning and data mining. It has been successfully applied into various fields. Most matrix decomposition meth…