
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...
http://nanohub.org/resources/23504

A Massively Parallel Semicoarsening Multigrid for 3D Reservoir Simulation on Multicore and MultiGPU Architectures
04 Feb 2016  Online Presentations  Contributor(s): Abdulrahman Manea
In this work, we have designed and implemented a massively parallel version of the Semicoarsening Black Box Multigrid Solver [1], which is capable of handling highly heterogeneous and anisotropic...
http://nanohub.org/resources/23474

A Microfluidics Approach to Probing Neuronal Filopodia
12 Apr 2016  Online Presentations
http://nanohub.org/resources/14003

A Multigrid Method for the SelfAdjoint Angular Flux Form of the RadiationTransport Equation Based on Cellwise Block Jacobi Iteration
04 Feb 2016  Online Presentations  Contributor(s): Jeffrey Densmore
Cellwise block Jacobi iteration is a technique for radiationtransport calculations in which the angular flux for all directions is solved for simultaneously within a spatial cell with the angular...
http://nanohub.org/resources/23481

A Performance Comparison of Algebraic Multigrid Preconditioners on GPUs and MIC
04 Feb 2016  Online Presentations  Contributor(s): Karl Rupp
Algebraic multigrid (AMG) preconditioners for accelerators such as graphics processing units (GPUs) and Intel's manyintegrated core (MIC) architecture typically require a careful,...
http://nanohub.org/resources/23485

A Scalable Algorithm for Inverse Medium Problems with Multiple Sources
04 Feb 2016  Online Presentations  Contributor(s): Keith Kelly
We consider the problem of acoustic scattering as described by the freespace, timeharmonic scalar wave equation given by (0.1) along with radiation boundary conditions. Here, is a...
http://nanohub.org/resources/23498

Application of Multigrid Techniques to Magnetic and Electromagnetic Systems
04 Feb 2016  Online Presentations  Contributor(s): Benjamin Cowan
We discuss the use of multigrid techniques for several novel systems related to electromagnetics. One of these is the magnetostatic problem, in which systems can involve highly anisotropic and...
http://nanohub.org/resources/23489

BioNanotechnology and Nanomedicine Lecture 25: Force Traction Microscopy
16 Nov 2011  Online Presentations  Contributor(s): Javid Mohammed Ali
BioNanotechnology and Nanomedicine: Applications in Cancer and Mechanobiology provides an introduction to basic concepts of nanotechnology in mechanobiology and in cancer. This is a highly...
http://nanohub.org/resources/12519

Compatible Relaxation Based GeometricAlgebraic Multigrid
04 Feb 2016  Online Presentations  Contributor(s): Fei Cao
We develop compatible relaxation algorithms for smoothed aggregationbased multigrid coarsening. In the proposed method, we use the geometry of the given discrete problem on the finest level to...
http://nanohub.org/resources/23506

DataCentric Models for Multilevel Algorithms
07 Feb 2016  Online Presentations  Contributor(s): Samuel Guiterrez
Today, computational scientists must contend with a diverse set of supercomputer architectures that are capable of exposing unprecedented levels of parallelism and complexity. Effectively placing,...
http://nanohub.org/resources/23532

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 ddimensional cube. Using Galerkin discretization, we obtain a linear equation system...
http://nanohub.org/resources/23520

Geometric Multigrid for MHD Simulations with Nedelec Finite Elements on Tetrahedral Grids
04 Feb 2016  Online Presentations  Contributor(s): Chris Hansen
The MagnetoHydroDynamic (MHD) model is used extensively to simulate macroscopic plasma dynamics in Magnetic Confinement Fusion (MCF) devices. In these simulations, the span of time scales from...
http://nanohub.org/resources/23491

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...
http://nanohub.org/resources/23522

HPGMG: Benchmarking Computers Using Multigrid
04 Feb 2016  Online Presentations  Contributor(s): Jed Brown
HPGMG (https://hpgmg.org) is a geometric multigrid benchmark designed to measure the performance and versatility of computers. For a benchmark to be representative of applications, good...
http://nanohub.org/resources/23495

Hub Snub: Removing Vertices with High Degree from Coarsegrid 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 illconditioned nature of the systems, obtaining solutions with standard...
http://nanohub.org/resources/23508

Illinois 2011 NanoBiophotonics Summer School Lecture 1: Welcome
04 Dec 2011  Online Presentations  Contributor(s): Rashid Bashir, Nahil Sobh
1) Prof. Art Kramer, Director  Beckman Institute
2) Prof. Ilesanmi Adesida, Dean of...
http://nanohub.org/resources/12513

Illinois 2011 NanoBiophotonics Summer School Lecture 2: Photoaucistic Tomography, Ultrasonically Breaking Through the Optical Diffusion Limit
04 Dec 2011  Online Presentations  Contributor(s): Lihong Wang
Lihong Wang earned his PhD degree at Rice University, Houston, Texas under the tutelage of Robert Curl, Richard Smalley, and Frank Tittel and currently holds the Gene K. Beare Distinguished...
http://nanohub.org/resources/12510

Illinois 2011 NanoBiophotonics Summer School Lecture 3: Introduction to Cellular Bioengineering
04 Dec 2011  Online Presentations  Contributor(s): Yingxiao Wang
Network for Computational Nanotechnology at Illinois (NCN@Illinois)
http://nanohub.org/resources/12511

Illinois 2011 NanoBiophotonics Summer School Lecture 4: Pathology of Blood and Tissue Biopsies
04 Dec 2011  Online Presentations  Contributor(s): Krishna Tangella
Network for Computational Nanotechnology at Illinois (NCN@Illinois)
http://nanohub.org/resources/12514

Illinois 2011 NanoBiophotonics Summer School Lecture 5: Introduction to NanoPhotonics
04 Dec 2011  Online Presentations  Contributor(s): Kent D Choquette
Network for Computational Nanotechnology at Illinois (NCN@Illinois)
http://nanohub.org/resources/12515