14 citations · 37 across the 9 of their papers we have counts for
9 papers
Inverse Random Source Problem for the Helmholtz Equation from Statistical Phaseless Data
Qiao-Ping Chen, Hongyu Liu, Zejun Sun +2
This paper investigates the problem of reconstructing a random source from statistical phaseless data for the two-dimensional Helmholtz equation. The major challenge of this proble…
Robust Discontinuity Indicators for High-Order Reconstruction of Piecewise Smooth Functions
Yipeng Li, Qiao Chen, Xiangmin Jiao
In many applications, piecewise continuous functions are commonly interpolated over meshes. However, accurate high-order manipulations of such functions can be challenging due to p…
Motion Estimation for Large Displacements and Deformations
Qiao Chen, Charalambos Poullis
Large displacement optical flow is an integral part of many computer vision tasks. Variational optical flow techniques based on a coarse-to-fine scheme interpolate sparse matches a…
HIFIR: Hybrid Incomplete Factorization with Iterative Refinement for Preconditioning Ill-conditioned and Singular Systems
Qiao Chen, Xiangmin Jiao
We introduce a software package called HIFIR for preconditioning sparse, unsymmetric, ill-conditioned, and potentially singular systems. HIFIR computes a hybrid incomplete factoriz…
Optimal and Low-Memory Near-Optimal Preconditioning of Fully Implicit Runge-Kutta Schemes for Parabolic PDEs
Xiangmin Jiao, Xuebin Wang, Qiao Chen
Runge-Kutta (RK) schemes, especially Gauss-Legendre and some other fully implicit RK (FIRK) schemes, are desirable for the time integration of parabolic partial differential equati…
Robust and Efficient Multilevel-ILU Preconditioning of Hybrid Newton-GMRES for Incompressible Navier-Stokes Equations
Qiao Chen, Xiangmin Jiao, Oliver Yang
We introduce a robust and efficient preconditioner for a hybrid Newton-GMRES method for solving the nonlinear systems arising from incompressible Navier-Stokes equations. When the…
Approximate Generalized Inverses with Iterative Refinement for -Accurate Preconditioning of Singular Systems
Xiangmin Jiao, Qiao Chen
We introduce a new class of preconditioners to enable flexible GMRES to find a least-squares solution, and potentially the pseudoinverse solution, of large-scale sparse, asymmetric…
WLS-ENO Remap: Superconvergent and Non-Oscillatory Weighted Least Squares Data Transfer on Surfaces
Yipeng Li, Qiao Chen, Xuebin Wang +1
Data remap between non-matching meshes is a critical step in multiphysics coupling using a partitioned approach. The data fields being transferred often have jumps in function valu…
HILUCSI: Simple, Robust, and Fast Multilevel ILU for Large-Scale Saddle-Point Problems from PDEs
Qiao Chen, Aditi Ghai, Xiangmin Jiao
Incomplete factorization is a widely used preconditioning technique for Krylov subspace methods for solving large-scale sparse linear systems. Its multilevel variants, such as ILUP…