22 citations · 27 across the 11 of their papers we have counts for
11 papers
Parallel Exponential Time Differencing Methods for Geophysical Flow Simulations
Rihui Lan, Wei Leng, Zhu Wang +2
Two ocean models are considered for geophysical flow simulations: the multi-layer shallow water equations and the multi-layer primitive equations. For the former, we investigate th…
Trace Transfer-based Diagonal Sweeping Domain Decomposition Method for the Helmholtz Equation: Algorithms and Convergence Analysis
Wei Leng, Lili Ju
By utilizing the perfectly matched layer (PML) and source transfer techniques, the diagonal sweeping domain decomposition method (DDM) was recently developed for solving the high-f…
A diagonal sweeping domain decomposition method with source transfer for the Helmholtz equation
Wei Leng, Lili Ju
In this paper, we propose and test a novel diagonal sweeping domain decomposition method (DDM) with source transfer for solving the high-frequency Helmholtz equation in $\mathbb{R}…
High Order Explicit Local Time-Stepping Methods For Hyperbolic Conservation Laws
Thi-Thao-Phuong Hoang, Lili Ju, Wei Leng +1
In this paper we present and analyze a general framework for constructing high order explicit local time stepping (LTS) methods for hyperbolic conservation laws. In particular, we…
An Additive Overlapping Domain Decomposition Method for the Helmholtz Equation
Wei Leng, Lili Ju
In this paper, we propose and analyze an additive domain decomposition method (DDM) for solving the high-frequency Helmholtz equation with the Sommerfeld radiation condition. In th…
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 Overlapping Domain Decomposition Preconditioner for the Helmholtz equation
Wei Leng, Lili Ju
In this paper, based on the overlapping domain decomposition method (DDM) proposed in \cite{Leng2015}, an one step preconditioner is proposed to solve 2D high frequency Helmholtz e…
A Fast Propagation Method for the Helmholtz equation
Wei Leng
A fast method is proposed for solving the high frequency Helmholtz equation. The building block of the new fast method is an overlapping source transfer domain decomposition method…
A Scalable Auxiliary Space Preconditioner for High-Order Finite Element Methods
Young-Ju Lee, Wei Leng, Chen-Song Zhang
In this paper, we revisit an auxiliary space preconditioning method proposed by Xu [Computing 56, 1996], in which low-order finite element spaces are employed as auxiliary spaces f…