Electromagnetic eXtended Finite Elements for Accurate Resolution of Multi-Material Cells
Abstract not provided.
Publications
MueLu - A Flexible Parallel Multigrid Framework
Abstract not provided.
Mimetic Least Squares Methods with Preconditioners for Darcy Flow
Abstract not provided.
MueLu: A Framework for Developing Scalable Multigrid Preconditioners
Abstract not provided.
Applying template-based generic programming to the simulation and analysis of partial differential equations
Scientific Programming
Abstract not provided.
Block Preconditioning for Implicit Ocean Systems
Abstract not provided.
Algebraic Multigrid for Systems of PDEs Based on Energy Minimization Principles
Abstract not provided.
MueMat: a MATLAB Toolbox to Experiment with New Multigrid Preconditioners
Abstract not provided.
Algebraic Multigrid using Energy-Minimization: a general framework to develop intergrid transfer operator
Abstract not provided.
Leveraging flexibility in energy minimization algebraic multigrid
Abstract not provided.
Designing an extensible framework for multigrid algorithm research
Abstract not provided.
Krylov Methods and Energy Minimization Algebraic Multigrid
Abstract not provided.
A General AMG Strategy for Addressing the Near Null-space Based on Energy Minimization
Abstract not provided.
Building a PDE with Componenets including shape optimization and embedded UQ
Abstract not provided.
A flexible AMG framework centered on energy minimization
Abstract not provided.
Toward robust scalable algebraic multigrid solvers
This talk highlights some multigrid challenges that arise from several application areas including structural dynamics, fluid flow, and electromagnetics. A general framework is presented to help introduce and understand algebraic multigrid methods based on energy minimization concepts. Connections between algebraic multigrid prolongators and finite element basis functions are made to explored. It is shown how the general algebraic multigrid framework allows one to adapt multigrid ideas to a number of different situations. Examples are given corresponding to linear elasticity and specifically in the solution of linear systems associated with extended finite elements for fracture problems.
Preconditioning for Implicit Ocean Models
Abstract not provided.
The Statistical Theory of the List Experiment/Item Count Technique to Measure Socially Sensitive Attitudes
Psychometrika
Abstract not provided.
Block Preconditioning for Implicit Ocean Models
Abstract not provided.
Scalable climate simulations using Trilinos solvers
Abstract not provided.
A fully implicit method for 3D quasi-steady state magnetic advection-diffusion
We describe the implementation of a prototype fully implicit method for solving three-dimensional quasi-steady state magnetic advection-diffusion problems. This method allows us to solve the magnetic advection diffusion equations in an Eulerian frame with a fixed, user-prescribed velocity field. We have verified the correctness of method and implementation on two standard verification problems, the Solberg-White magnetic shear problem and the Perry-Jones-White rotating cylinder problem.
Highly scalable linear solvers on thousands of processors
In this report we summarize research into new parallel algebraic multigrid (AMG) methods. We first provide a introduction to parallel AMG. We then discuss our research in parallel AMG algorithms for very large scale platforms. We detail significant improvements in the AMG setup phase to a matrix-matrix multiplication kernel. We present a smoothed aggregation AMG algorithm with fewer communication synchronization points, and discuss its links to domain decomposition methods. Finally, we discuss a multigrid smoothing technique that utilizes two message passing layers for use on multicore processors.
Statistical Theory of the List Experiment to Measure Socially Sensitive Attitudes
An Algebraic Multigrid Method for Compatible Least-Squares Formulations of Div-Curl Equations
Abstract not provided.
Multilevel Project
Abstract not provided.
Results 76–100 of 114