126 citations · 276 across the 22 of their papers we have counts for
22 papers
Elastica Models for Color Image Regularization
Hao Liu, Xue-Cheng Tai, Ron Kimmel +1
One classical approach to regularize color is to tream them as two dimensional surfaces embedded in a five dimensional spatial-chromatic space. In this case, a natural regularizati…
On the DLM/FD methods for simulating neutrally buoyant swimmer motion in non-Newtonian shear thinning fluids
Ang Li, Tsorng-Whay Pan, Roland Glowinski
In this article we discuss the generalization of a Lagrange multiplier based fictitious domain (DLM/FD) method to simulating the motion of neutrally buoyant particles of non-symmet…
An Operator-Splitting Method for the Gaussian Curvature Regularization Model with Applications to Surface Smoothing and Imaging
Hao Liu, Xue-Cheng Tai, Roland Glowinski
Gaussian curvature is an important geometric property of surfaces, which has been used broadly in mathematical modeling. Due to the full nonlinearity of the Gaussian curvature, eff…
Bilinear Optimal Control of an Advection-reaction-diffusion System
Roland Glowinski, Yongcun Song, Xiaoming Yuan +1
We consider the bilinear optimal control of an advection-reaction-diffusion system, where the control arises as the velocity field in the advection term. Such a problem is generall…
Overlapping Domain Decomposition Methods for Ptychographic Imaging
Huibin Chang, Roland Glowinski, Stefano Marchesini +3
In ptychography experiments, redundant scanning is usually required to guarantee the stable recovery, such that a huge amount of frames are generated, and thus it poses a great dem…
On the Numerical Solution of Nonlinear Eigenvalue Problems for the Monge-Ampère Operator
Roland Glowinski, Shingyu Leung, Hao Liu +1
In this article, we report the results we obtained when investigating the numerical solution of some nonlinear eigenvalue problems for the Monge-Ampère operator $v\rightarrow \det…
A Color Elastica Model for Vector-Valued Image Regularization
Hao Liu, Xue-Cheng Tai, Ron Kimmel +1
Models related to the Euler's elastica energy have proven to be useful for many applications including image processing. Extending elastica models to color images and multi-channel…
Discrete Dynamical System Approaches for Boolean Polynomial Optimization
Yi-Shuai Niu, Roland Glowinski
In this article, we discuss the numerical solution of Boolean polynomial programs by algorithms borrowing from numerical methods for differential equations, namely the Houbolt sche…
A New Operator Splitting Method for Euler's Elastica Model
Liang-Jian Deng, Roland Glowinski, Xue-Cheng Tai
Euler's elastica model has a wide range of applications in Image Processing and Computer Vision. However, the non-convexity, the non-smoothness and the nonlinearity of the associat…
A 3D DLM/FD method for simulating the motion of spheres in a bounded shear flow of Oldroyd-B fluids
Shang-Huan Chiu, Tsorng-Whay Pan, Roland Glowinski
We present a novel distributed Lagrange multiplier/fictitious domain (DLM/FD) method for simulating fluid-particle interaction in Oldroyd-B fluids under creeping conditions. The re…
Numerical methods for simulating the motion of porous balls in simple 3D shear flows under creeping conditions
Aixia Guo, Tsorng-Whay Pan, Jiwen He +1
In this article, two novel numerical methods have been developed for simulating fluid/porous particle interactions in three-dimensional (3D) Stokes flow. The Brinkman-Debye-Bueche…
Dynamics of particle sedimentation in viscoelastic fluids: A numerical study on particle chain in two-dimensional narrow channel
Tsorng-Whay Pan, Roland Glowinski
In this article we present a numerical method for simulating the sedimentation of circular particles in two-dimensional channel filled with a viscoelastic fluid of FENE-CR type, wh…
Dynamics of two disks settling in a two-dimensional narrow channel: From periodic motion to vertical chain in Oldroyd-B fluid
Tsorng-Whay Pan, Roland Glowinski
In this article we present a numerical study of the dynamics of two disks settling in a narrow vertical channel filled with Oldroyd-B fluid. Two kinds of particle dynamics are obta…
A numerical study of the transition to oscillatory flow in 3D lid-driven cubic cavity flows
Shang-Huan Chiu, Tsorng-Whay Pan, Jiwen He +2
In this article, three dimensional (3D) lid-driven cubic cavity flows have been studied numerically for various values of Reynolds number (). The numerical solution of the Navi…
The dynamics of inextensible capsules in shear flow under the effect of the nature state
Xiting Niu, Lingling Shi, Tsorng-Whay Pan +1
The effect of the nature state on the motion of an inextensible capsule in simple shear flow has been studied in this paper. Besides the viscosity ratio of the internal fluid and e…
Option Pricing Accuracy for Estimated Heston Models
Robert Azencott, Yutheeka Gadhyan, Roland Glowinski
We consider assets for which price and squared volatility are jointly driven by Heston joint stochastic differential equations (SDEs). When the parameters of these SDEs…
A Modular, Operator Splitting Scheme for Fluid-Structure Interaction Problems with Thick Structures
Martina Bukac, Suncica Canic, Roland Glowinski +2
We present an operator-splitting scheme for fluid-structure interaction (FSI) problems in hemodynamics, where the thickness of the structural wall is comparable to the radius of th…
An oscillating motion of a red blood cell and a neutrally buoyant particle in Poiseuille flow in a narrow channel
Lingling Shi, Yao Yu, Tsorng-Whay Pan +1
Two motions of oscillation and vacillating breathing (swing) of a red blood cell have been observed in bounded Poiseuille flows (Phys. Rev. E 85, 16307 (2012)). To understand such…
Circular band formation for incompressible viscous fluid--rigid particle mixtures in a rotating cylinder
Suchung Hou, Tsorng-Whay Pan, Roland Glowinski
In this paper we have investigated a circular band formation of fluid-rigid particle mixtures in a fully filled cylinder horizontally rotating about its cylinder axis by direct num…
Fluid-structure interaction in blood flow capturing non-zero longitudinal structure displacement
Martina Bukac, Suncica Canic, Roland Glowinski +2
We present a new model and a novel loosely coupled partitioned numerical scheme modeling fluid-structure interaction (FSI) in blood flow allowing non-zero longitudinal displacement…
Computational Techniques for Simulating Natural Convection in Three-Dimensional Enclosures with Tetrahedral Finite Elements
Kehinde O. Ladipo, Roland Glowinski, Tsorng-Whay Pan
This article discusses computational techniques for simulating natural convection in three-dimensional domains using finite element methods with tetrahedral elements. These techniq…
On the Formation of Transient (Na) and (Na) Cluster Dimers from Molecular Dynamics Simulations
F. S. Zhang, F. Spiegelmann, E. Suraud +4
By using tight binding molecular dynamics simulations, we discuss the possibilities to form (Na) and (Na) cluster dimers in sodium cluster collisions. In the…