4 citations · 5 across the 7 of their papers we have counts for
7 papers
Finite element error estimates for the nonlinear Schrödinger-Poisson model
Tao Cui, Wenhao Lu, Naiyan Pan +1
In this paper, we study a priori error estimates for the finite element approximation of the nonlinear Schrödinger-Poisson model. The electron density is defined by an infinite ser…
A Neural Network with Plane Wave Activation for Helmholtz Equation
Ziming Wang, Tao Cui, Xueshuang Xiang
This paper proposes a plane wave activation based neural network (PWNN) for solving Helmholtz equation, the basic partial differential equation to represent wave propagation, e.g.…
GPU Accelerated Finite Element Assembly with Runtime Compilation
Tao Cui, Xiaohu Guo, Hui Liu
In recent years, high performance scientific computing on graphics processing units (GPUs) have gained widespread acceptance. These devices are designed to offer massively parallel…
Dynamic load balancing for large-scale adaptive finite element computation
Hui Liu, Tao Cui, Wei Leng +1
For the parallel computation of partial differential equations, one key is the grid partitioning. It requires that each process owns the same amount of computations, and also, the…
An hp-adaptive strategy for elliptic problems
Hui Liu, Tao Cui, Wei Leng +1
In this paper a new hp-adaptive strategy for elliptic problems based on refinement history is proposed, which chooses h-, p- or hp-refinement on individual elements according to a…
Encoding and Decoding Algorithms for Arbitrary Dimensional Hilbert Order
Hui Liu, Tao Cui, Wei Leng +1
Hilbert order is widely applied in many areas. However, most of the algorithms are confined to low dimensional cases. In this paper, algorithms for encoding and decoding arbitrary…
An Error-Resilient Redundant Subspace Correction Method
Tao Cui, Jinchao Xu, Chen-Song Zhang
As we stride toward the exascale era, due to increasing complexity of supercomputers, hard and soft errors are causing more and more problems in high-performance scientific and eng…