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A Fast Multigrid Approach for Solving the Helmholtz Equation with a Point Source
Online Presentations | 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 of...
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A Massively Parallel Semicoarsening Multigrid for 3D Reservoir Simulation on Multi-core and Multi-GPU Architectures
Online Presentations | 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...
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A Performance Comparison of Algebraic Multigrid Preconditioners on GPUs and MIC
Online Presentations | 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...
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A Scalable Algorithm for Inverse Medium Problems with Multiple Sources
Online Presentations | 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....
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Compatible Relaxation Based Geometric-Algebraic Multigrid
Online Presentations | 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...
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Geometric Multigrid for MHD Simulations with Nedelec Finite Elements on Tetrahedral Grids
Online Presentations | 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,...
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HPGMG: Benchmarking Computers Using Multigrid
Online Presentations | 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 and...
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Parallel Multigrid Preconditioner Based on Automatic 3D Tetradedric Meshes
Online Presentations | 04 Feb 2016 | Contributor(s):: Frederic Vi
Multigrid methods are efficient for solving large sparse linear systems. Geometric (GMG) and Algebraic Multigrid (AMG) have both their own benefits and limitations. Combining the simplicity of AMG with the efficiency of GMG lead us to the development of an Hybrid Multigrid preconditionner. From...
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Space-time constrained FOSLS with AMGe upscaling
Online Presentations | 04 Feb 2016 | 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 involves the divergence operator (in space-time). The popular FOSLS (first order system least-squares)...
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Stable Discretizations and Robust Block Preconditioners for Fluid-Structure Interaction Systems
Online Presentations | 04 Feb 2016 | 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 the time discretization, we formulate the fluid-structure interaction equations as saddle point...
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Understanding the Propagation of Silent Data Corruption in Algebraic Multigrid
Online Presentations | 04 Feb 2016 | Contributor(s):: Jon Calhoun
Sparse linear solvers from a fundamental kernel in high performance computing (HPC). Exascale systems are expected to be more complex than systems of today being composed of thousands of heterogeneous processing elements that operate at near-threshold-voltage to meet power constraints. The...
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Hao Zhuang
https://nanohub.org/members/105541
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Patrick Mulligan
https://nanohub.org/members/105370
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ECE 595E Lecture 36: MEEP Tutorial II
Online Presentations | 30 Apr 2013 | Contributor(s):: Peter Bermel
Outline:Recap from MondayExamplesMultimode ring resonatorsIsolating individual resonancesKerr nonlinearitiesQuantifying third-harmonic generation
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Integrated Imaging Seminar Series
Series | 30 Apr 2013 | Contributor(s):: Charles Addison Bouman
Integrated imaging seminar series is jointly sponsored by the Birck Nanotechnology Center and ECE. Integrated Imaging is defined as a cross-disciplinary field combining sensor science, information processing, and computer systems for the creation of novel imaging and sensing systems. In this...
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ECE 595E Lecture 35: MEEP Tutorial I
Online Presentations | 18 Apr 2013 | Contributor(s):: Peter Bermel
Outline:MEEP InterfacesMEEP ClassesTutorial examples:WaveguideBent waveguide
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Data-adaptive Filtering and the State of the Art in Image Processing
Online Presentations | 15 Apr 2013 | Contributor(s):: Peyman Milanfar
In this talk, I will present a practical and unified framework for understanding some common underpinnings of these methods. This leads to new insights and a broad understanding of how these diverse methods interrelate. I will also discuss the statistical performance of the resulting algorithms,...
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ECE 595 Course Policy - Spring 2013
Teaching Materials | 03 Jan 2013 | Contributor(s):: Peter Bermel
A description of the key policies that will govern the administration of ECE 595 on "Numerical Methods" in Spring 2013.
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Sergio Feliciano Mendoza-Barrera
Industrial and Electronics Engineering. Electronics Department. "Instituto Tecnológico de Puebla", MexicoScience Master in Electronics. Electronics Department. Astrophysics, Optics and Electronics...
https://nanohub.org/members/62625
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The Pioneers of Quantum Computing
Online Presentations | 19 Nov 2010 | Contributor(s):: David P. Di Vincenzo
This talk profiles the persons whose insights and visions created the subject of quantum information science. Some famous, some not, they all thought deeply about the puzzles and contradictions that were apparent to the founders of quantum theory. After many years of germination, the confluence...