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A Fast Multigrid Approach for Solving the Helmholtz Equation with a Point Source
04 Feb 2016 | Online Presentations | Contributor(s): Eran Treister
Solving the discretized Helmholtz equations with high wave numbers in large dimensions is a challenging task. However, in many scenarios, the solution of these equations is required for a point...
Compatible Relaxation Based Geometric-Algebraic Multigrid
04 Feb 2016 | Online Presentations | Contributor(s): Fei Cao
We develop compatible relaxation algorithms for smoothed aggregation-based multigrid coarsening. In the proposed method, we use the geometry of the given discrete problem on the finest level to...
Hub Snub: Removing Vertices with High Degree from Coarse-grid Correction
04 Feb 2016 | Online Presentations | Contributor(s): Geoffry Sanders
Network scientists often employ numerical solutions to linear systems as subroutines of data mining algorithms. Due to the ill-conditioned nature of the systems, obtaining solutions with standard...
On the Preconditioning of a High-Order RDG-based All-Speed Navier-Stokes Solver
04 Feb 2016 | Online Presentations | Contributor(s): Brian Weston
We investigate the preconditioning of an all-speed Navier-Stokes solver, based on the orthogonal-basis Reconstructed Discontinuous Galerkin (RDG) space discretization, and integrated using a...
Is the Ideal Approximation Operator Always "Ideal" for a Particular C/F Splitting?
04 Feb 2016 | Online Presentations | Contributor(s): Erin Molloy
Given a coarse grid, the ideal prolongation operator is defined by , where the weight matrix, , interpolates a set of fine grid variable (-points) from a set of coarse grid...
Reducing Communication Costs for Sparse Matrix Multiplication within Algebraic Multigrid
04 Feb 2016 | Online Presentations | Contributor(s): Grey Ballard
We consider the sequence of sparse matrix-matrix multiplications performed during the setup phase of algebraic multigrid. In particular, we show that the most commonly used parallel algorithm is...
Space-time constrained FOSLS with AMGe upscaling
04 Feb 2016 | Online Presentations | Contributor(s): Panayot Vassilevski
We consider time-dependent PDEs discretized in combined space-time domains. We first reduce the PDE to a first order system. Very often in practice, one of the equations of the reduced system...
Multilevel Markov Chain Monte Carlo for Uncertainty Quantification in Subsurface Flow
04 Feb 2016 | Online Presentations | Contributor(s): Christian Ketelsen
The multilevel Monte Carlo method has been shown to be an effective variance reduction technique for quantifying uncertainty in subsurface flow simulations when the random conductivity field can...
Discretization of Elliptic Differential Equations Using Sparse Grids and Prewavelets
04 Feb 2016 | Online Presentations | Contributor(s): Christoph Pflaum
Sparse grids can be used to discretize second order elliptic differential equations on a d-dimensional cube. Using Galerkin discretization, we obtain a linear equation system...
High Dimensional Uncertainty Quantification via Multilevel Monte Carlo
04 Feb 2016 | Online Presentations | Contributor(s): Hillary Fairbanks
Multilevel Monte Carlo (MLMC) has been shown to be a cost effective way to compute moments of desired quantities of interest in stochastic partial differential equations when the uncertainty in...
Stable Discretizations and Robust Block Preconditioners for Fluid-Structure Interaction Systems
04 Feb 2016 | Online Presentations | Contributor(s): Kai Yang
In our work we develop a family of preconditioners for the linear algebraic systems arising from the arbitrary Lagrangian-Eulerian discretization of some fluid-structure interaction models. After...
[Illinois] Nanotechnology meets Biology in the Cancer Cell: Applications in Medicine, Drug Delivery, and Determining Drug Efficacy
04 Feb 2016 | Online Presentations | Contributor(s): Mostafa El-Sayed
Dr. Mostafa El-Sayed received his B.Sc. from Ain Shams University in Cairo; and Ph.D. from Florida State University. He was Postdoctoral Fellow at Yale University, Harvard University and the...
[Illinois] Rare Events with Large-Impact: Bioengineering & Clinical Applications of Circulating Tumor Cells
04 Feb 2016 | Online Presentations | Contributor(s): Mehmet Toner
Dr. Mehmet Toner is the Helen Andrus Benedict Professor of Biomedical Engineering at the Massachusetts General Hospital (MGH), Harvard Medical School (HMS), and is the co-founding director of the...
[Illinois] CNST Nanotechnology Workshop 2015
04 Feb 2016 | Workshops | Contributor(s): Mustafa El-sayed, Mehmet Toner
The CNST Nanotechnology Workshop highlights University of Illinois research in bionanotechnology and nanomedicine, nanoelectronics and nanophotonics, and nanomaterials and nanomanufacturing,...
[Illinois] Signal Processing at Light Speed: Ultrashort Optical Pulse Generation with Arbitrary Waveforms
29 Jan 2016 | Online Presentations | Contributor(s): Claire Mcghee
We aim to further improve early detection of cancer biomarkers, including metal ion and small molecules, using functional DNA as the selective component for photonic crystal surface enhanced Raman...
[Illinois] Using Photonic Crystals to Enhance SERS Signals for Early Detection of Prostate Cancer
29 Jan 2016 | Online Presentations | Contributor(s): Caitlin Race
Prostate cancer is the second most common cancer for men, and the second leading cause of death due to cancer in men. Currently, the most common screening method aims to detect high levels of...
[Illinois] Manipulating Substrate Topography for Enhanced Myogenic Differentiation of Primary Myoblasts and Neuromuscular Junction Formation
29 Jan 2016 | Online Presentations | Contributor(s): Eunkyung Ko
Myogenic commitment of stem cells and primary myoblasts has drawn attention for developing treatments for skeletal muscle diseases. Biophysical cues as well as biochemical cues are known to...
[Illinois] Cadherin-Modulated Neural Differentiation of Stem Cells for Neuromuscular Junction Engineering
29 Jan 2016 | Online Presentations | Contributor(s): Ellen Qin
Recently, efforts are increasingly made to engineer NMJ in vitro for both fundamental and applied bioscience studies. Certain success was made to modulate neural differentiation of stem cells...
[Illinois] Role for Stiffness in Vascular Fate
29 Jan 2016 | Online Presentations | Contributor(s): Lian Wong
Stem cells, including embryonic stem cells (ESC) and induced pluripotent stem cells, have been explored as tools for studying development, as well as, potential sources for a large number of...
[Illinois] Bionanotechnology Seminar Series
29 Jan 2016 | Series
This series is organized by PhD students who are appointed as Trainees in the NIH/NCI Midwest Cancer Nanotechnology Training Center (M-CNTC) and in the NSF IGERT in Cellular and Molecular...