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  1. [Illinois] 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

  2. [Illinois] A Massively Parallel Semicoarsening Multigrid for 3D Reservoir Simulation on Multi-core and Multi-GPU 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

  3. [Illinois] A Multigrid Method for the Self-Adjoint Angular Flux Form of the Radiation-Transport Equation Based on Cellwise Block Jacobi Iteration

    04 Feb 2016 | Online Presentations | Contributor(s): Jeffrey Densmore

    Cellwise block Jacobi iteration is a technique for radiation-transport 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

  4. [Illinois] 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 many-integrated core (MIC) architecture typically require a careful,...

    http://nanohub.org/resources/23485

  5. [Illinois] 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 free-space, time-harmonic scalar wave equation given...

    http://nanohub.org/resources/23498

  6. [Illinois] 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

  7. [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,...

    http://nanohub.org/resources/23530

  8. [Illinois] 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...

    http://nanohub.org/resources/23506

  9. [Illinois] 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...

    http://nanohub.org/resources/23520

  10. [Illinois] Geometric Multigrid for MHD Simulations with Nedelec Finite Elements on Tetrahedral Grids

    04 Feb 2016 | Online Presentations | Contributor(s): Chris Hansen

    The Magneto-HydroDynamic (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

  11. [Illinois] 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

  12. [Illinois] 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

  13. [Illinois] 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...

    http://nanohub.org/resources/23508

  14. [Illinois] 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...

    http://nanohub.org/resources/23512

  15. [Illinois] Least-Squares Finite Element Method and Nested Iteration for Electromagnetic Two-Fluid Plasma Models

    04 Feb 2016 | Online Presentations | Contributor(s): Christopher Leibs

    Efforts are currently being directed towards a fully implicit, electromagnetic, JFNK-based solver, motivating the necessity of developing a fluid-based, electromagnetic, preconditioning strategy...

    http://nanohub.org/resources/23478

  16. [Illinois] Monolithic Multigrid Methods for Coupled Multi-Physics Problems

    04 Feb 2016 | Online Presentations | Contributor(s): Scott Maclachlan

    While block-diagonal and approximate block-factorization preconditioners are often considered for coupled problems, monolithic approaches can offer improved performance, particularly when the...

    http://nanohub.org/resources/23487

  17. [Illinois] Multigrid Methods Conference

    04 Feb 2016 | Workshops

    HIGHLIGHTED TOPICS Uncertainty Quantification Optimization and Inverse Problems Data Mining, Large Graphs, and Markov Chains Nonsymmetric and Indefinite Problems Krylov...

    http://nanohub.org/resources/23473

  18. [Illinois] 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...

    http://nanohub.org/resources/23518

  19. [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...

    http://nanohub.org/resources/23526

  20. [Illinois] On the Design of a Finite Element Multigrid Solver for Mimetic Finite Difference Schemes

    04 Feb 2016 | Online Presentations | Contributor(s): Carmen Rodrigo

    The focus of this work is to study the relation between mimetic finite difference schemes on triangular grids and some finite element methods for two model problems based on curl-rot and grad-div...

    http://nanohub.org/resources/23476

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