
Preconditioning for DivergenceConforming Discretizations of the Stokes Equations
07 Feb 2016  Online Presentations  Contributor(s): Thomas Benson
Recent years have seen renewed interest in the numerical solution of the Stokes Equations. Of particular interest is the use of infsup stable pairs of finite elements for which weak enforcement...
http://nanohub.org/resources/23538

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

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

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

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 curlrot and graddiv...
http://nanohub.org/resources/23476

Understanding the Propagation of Silent Data Corruption in Algebraic Multigrid
04 Feb 2016  Online Presentations  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...
http://nanohub.org/resources/23483

Optimal Order Multigrid Preconditioners for Linear Systems Arising in the Semismooth Newton Method Solution Process of a Class of ControlConstrained Problems
18 Aug 2015  Online Presentations  Contributor(s): Andrei Draganescu
In this work we present a new multigrid preconditioner for the linear systems arising in the semismooth Newton method solution process of certain controlconstrained, quadratic distributed optimal...
http://nanohub.org/resources/22604

Quantifying Uncertainties from the Grid in CFD Solutions
03 Jan 2012  Online Presentations  Contributor(s): Tom IP. Shih
This talk begins with a study on gridquality measures that assume gridinduced errors in a CFD solution at a cell is a function of the cell size and shape, the grid distribution around that cell,...
http://nanohub.org/resources/12548

Multigrid Tutorial
08 Jun 2010  Teaching Materials  Contributor(s): Dragica Vasileska
This set of slides describe the idea behind the multigrid method and its implementation.
http://nanohub.org/resources/9129

Illinois Tools: Multigrid Tutorial
19 Mar 2009  Tools  Contributor(s): Nahil Sobh
Solves the 2D Poisson problem using the Multigrid Method
http://nanohub.org/resources/mgbasic