8 papers
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…
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…