28 citations · 128 across the 27 of their papers we have counts for
4 papers · 1 filter
A model-data asymptotic-preserving neural network method based on micro-macro decomposition for gray radiative transfer equations
Hongyan Li, Song Jiang, Wenjun Sun +2
We propose a model-data asymptotic-preserving neural network(MD-APNN) method to solve the nonlinear gray radiative transfer equations(GRTEs). The system is challenging to be simula…
A highly accurate perfectly-matched-layer boundary integral equation solver for acoustic layered-medium problems
Wangtao Lu, Liwei Xu, Tao Yin +1
Based on the perfectly matched layer (PML) technique, this paper develops a high-accuracy boundary integral equation (BIE) solver for acoustic scattering problems in locally defect…
Optimal error estimates of a Crank--Nicolson finite element projection method for magnetohydrodynamic equations
Cheng Wang, Jilu Wang, Zeyu Xia +1
In this paper, we propose and analyze a fully discrete finite element projection method for the magnetohydrodynamic (MHD) equations. A modified Crank--Nicolson method and the Galer…
On the hyper-singular boundary integral equation methods for dynamic poroelasticity: three dimensional case
Lu Zhang, Liwei Xu, Tao Yin
In our previous work [SIAM J. Sci. Comput. 43(3) (2021) B784-B810], an accurate hyper-singular boundary integral equation method for dynamic poroelasticity in two dimensions has be…