Tags: UIUC

Resources (21-40 of 483)

  1. A Fast Multigrid Approach for Solving the Helmholtz Equation with a Point Source

    04 Feb 2016 | | 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 source. In this case, the problem can be be reformulated and split into two parts: one in a solution...

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

    04 Feb 2016 | | 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 3D reservoirs, on a parallel architecture with multiple GPU’s. For comparison purposes, the...

  3. A Microfluidics Approach to Probing Neuronal Filopodia

    12 Apr 2016 | | Contributor(s)::

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

    04 Feb 2016 | | 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 flux in neighboring cells held fixed. Each step of the iteration then involves the inversion of a...

  5. A Performance Comparison of Algebraic Multigrid Preconditioners on GPUs and MIC

    04 Feb 2016 | | 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, problem-dependent trade-off between efficient hardware use, robustness, and convergence rate in order to...

  6. A Scalable Algorithm for Inverse Medium Problems with Multiple Sources

    04 Feb 2016 | | Contributor(s):: Keith Kelly

    We consider the problem of acoustic scattering as described by the free-space, time-harmonic scalar wave equation given by   (0.1)   along with radiation boundary conditions. Here, is a point in , is the source term, and is the wavenumber. Our formulation is based on potential theory....

  7. Application of Multigrid Techniques to Magnetic and Electromagnetic Systems

    04 Feb 2016 | | 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 nonlinear materials. We describe the linear problems arising in several variations of this problem,...

  8. BioNanotechnology and Nanomedicine Lecture 25: Force Traction Microscopy

    16 Nov 2011 | | 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 interdisciplinary field of research where knowledge from various disciplines is presented and integrated....

  9. Compatible Relaxation Based Geometric-Algebraic Multigrid

    04 Feb 2016 | | 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 coarsen the system together with compatible relaxation to from the sparsity structure of the...

  10. Data-Centric Models for Multilevel Algorithms

    07 Feb 2016 | | 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, moving, and operating on data residing in complex distributed memory hierarchies is quickly...

  11. Discretization of Elliptic Differential Equations Using Sparse Grids and Prewavelets

    04 Feb 2016 | | 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 with  unknowns. The corresponding discretization error is  in the -norm. A major difficulty in...

  12. Geometric Multigrid for MHD Simulations with Nedelec Finite Elements on Tetrahedral Grids

    04 Feb 2016 | | 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 fast wave dynamics to the desired evolution of equilibrium due to transport processes is large,...

  13. High Dimensional Uncertainty Quantification via Multilevel Monte Carlo

    04 Feb 2016 | | 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 the data is high-dimensional. In this talk, we investigate the improved performance of MLMC versus...

  14. HPGMG: Benchmarking Computers Using Multigrid

    04 Feb 2016 | | 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 performance on the benchmark should be sufficient to ensure good performance on most important applications...

  15. Hub Snub: Removing Vertices with High Degree from Coarse-grid Correction

    04 Feb 2016 | | 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 iterative methods is often prohibitively costly; current research aims to automatically construct...

  16. Illinois 2011 NanoBiophotonics Summer School Lecture 1: Welcome

    04 Dec 2011 | | Contributor(s):: Rashid Bashir, Nahil Sobh

    1)     Prof. Art Kramer, Director - Beckman Institute2)     Prof. Ilesanmi Adesida, Dean of Engineering3)     Prof. Rashid Bashir, Director - Micro and Nanotechnology Laboratory4)     Dr. Marina...

  17. Illinois 2011 NanoBiophotonics Summer School Lecture 2: Photoaucistic Tomography, Ultrasonically Breaking Through the Optical Diffusion Limit

    04 Dec 2011 | | Contributor(s):: Lihong Wang

  18. Illinois 2011 NanoBiophotonics Summer School Lecture 3: Introduction to Cellular Bioengineering

    04 Dec 2011 | | Contributor(s):: Yingxiao Wang

  19. Illinois 2011 NanoBiophotonics Summer School Lecture 4: Pathology of Blood and Tissue Biopsies

    04 Dec 2011 | | Contributor(s):: Krishna Tangella

  20. Illinois 2011 NanoBiophotonics Summer School Lecture 5: Introduction to NanoPhotonics

    04 Dec 2011 | | Contributor(s):: Kent D Choquette