WorldCat Identities

Manteuffel, Thomas Albert 1948-

Overview
Works: 44 works in 60 publications in 1 language and 526 library holdings
Genres: Conference papers and proceedings  Academic theses  Technical reports 
Roles: Author, Editor
Classifications: QA374, 519.4
Publication Timeline
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Most widely held works by Thomas Albert Manteuffel
Application of the conjugate-gradient method to ground-water models by Thomas Albert Manteuffel( )

2 editions published in 1983 in English and held by 230 WorldCat member libraries worldwide

Sixth Copper Mountain Conference on Multigrid Methods : proceedings of a workshop cosponsored by the National Aeronautics and Space Administration [and others] and held at Copper Mountain, Colorado, April 4-9, 1993 by Copper Mountain Conference on Multigrid Methods( Book )

1 edition published in 1993 in English and held by 114 WorldCat member libraries worldwide

Numerical rank determination in linear least squares problems by Thomas Albert Manteuffel( Book )

2 editions published in 1979 in English and held by 71 WorldCat member libraries worldwide

Preconditioning and boundary conditions by Thomas Albert Manteuffel( )

2 editions published in 1988 in English and held by 17 WorldCat member libraries worldwide

A taxonomy for conjugate gradient methods by Steven F Ashby( Book )

4 editions published in 1988 in English and held by 16 WorldCat member libraries worldwide

An iterative method for solving nonsymmetric linear systems with dynamic estimation of parameters by Thomas Albert Manteuffel( Book )

2 editions published in 1975 in English and held by 11 WorldCat member libraries worldwide

Relaxation-corrected Bootstrap Algebraic Multigrid (rBAMG) by Minho Park( )

1 edition published in 2010 in English and held by 3 WorldCat member libraries worldwide

This thesis also develops another form of BAMG, called rBAMG, that involves modifying the least-squares process by temporarily relaxing on the test vectors at the fine-grid interpolation points. The theory here shows that, under fairly general conditions, iBAMG and rBAMG are equivalent. Simplicity and potentially greater generality favor rBAMG, so this algorithm is at the focus of the numerical performance study here
Parallel efficiency-based adaptive local refinement by Lei Tang( )

1 edition published in 2010 in English and held by 3 WorldCat member libraries worldwide

Accommodations of the ALR strategies to parallel computer architectures involve a geometric binning strategy to reduce communication cost. Load balancing begins at very coarse levels. Elements and nodes are redistributed using parallel quad-tree structures and a space filling curve. This automatically ameliorates load balancing issues at finer levels. Numerical results produced on Frost, the NCAR/CU Blue Gene/L supercomputer, are presented for a 2D Poisson problem with steep gradients, a 2D backward facing step incompressible Stokes equations and Navier-Stokes equations. The NI-FOSL-AMG-ACE approach is able to provide highly resolved approximations to rapidly varying solutions using a small number of work units. Excellent weak and strong scalability of parallel ALR are demonstrated on up to 4,096 processors for problems with up to 15 million biquadratic elements
First-Order Systems Least-Squares Finite Element Methods and Nested Iteration for Electromagnetic Two-Fluid Kinetic-Based Plasma Models by Christopher A Leibs( )

1 edition published in 2014 in English and held by 2 WorldCat member libraries worldwide

The TFP-Darwin system is addressed numerically by use of nested iteration (NI) and a First-Order Systems Least Squares (FOSLS) discretization. An important goal of NI is to produce an approximation that is within the basis of attraction for Newton's method on a relatively coarse mesh and, thus, on all subsequent meshes. After scaling and modification, the TFP-Darwin model yields a nonlinear, first-order system of equa- tions whose Frechet derivative is shown to be uniformly H1-elliptic in a neighborhood of the exact solution. H1 ellipticity yields optimal finite element performance and lin- ear systems amenable to solution with Algebraic Multigrid (AMG). To efficiently focus computational resources, an adaptive mesh refinement scheme, based on the accuracy per computational cost, is leveraged. Numerical tests demonstrate the efficacy of the approach, yielding an approximate solution within discretization error in a relatively small number of computational work units
Mathematical Modelling and Analysis of Several Diffusive Processes by M Brutz( )

1 edition published in 2014 in English and held by 2 WorldCat member libraries worldwide

The underlying theme of this research is using numerical methods to develop computationally efficient algorithms for three separate problems driven by diffusive processes. The problems under consideration are: contaminant dispersal through fracture networks, modelling the flow of glacial ice, and community detection on networks
The weighted linear least squares problem : an interval analysis approach to rank determination by Thomas Albert Manteuffel( Book )

1 edition published in 1980 in English and held by 2 WorldCat member libraries worldwide

Colorado Conference on Iterative Methods : [Breckenridge, Colorado, April 5-9, 1994]( Book )

2 editions published in 1994 in Undetermined and held by 2 WorldCat member libraries worldwide

Algebraic Multigrid Methods for Parallel Computing, Systems, and Graphs by Tobias M Jones( )

1 edition published in 2013 in English and held by 2 WorldCat member libraries worldwide

Historically, AMG was used to solve linear systems that arise from the discretization of differential equations. However, due to the ON scalability of the method, it seems natural to investigate it in other contexts that generate large sparse linear systems. Data mining in graph theory applications generate very large, but extremely sparse, linear systems called Graph Laplacians. As a step in the process of targeting AMG for these problems, eigenvectors of matrices formed from graphs are investigated
Hybrid First-Order System Least-Squares Finite Element Methods With The Application To Stokes And Navier-Stokes Equations by Kuo Liu( )

1 edition published in 2012 in English and held by 2 WorldCat member libraries worldwide

In this dissertation we show that the Hybrid functional is coercive and continuous in graph-like norm with modest coercivity and continuity constants, c0 = 1/3 and c1 = 3; that both
Seeking Space Aliens and the Strong Approximation Property: A (disjoint) Study in Dust Plumes on Planetary Satellites and Nonsymmetric Algebraic Multigrid by Benjamin Scott Southworth( )

1 edition published in 2017 in English and held by 1 WorldCat member library worldwide

PART II: Solving large, sparse linear systems arises often in the modeling of biological and physical phenomenon, data analysis through graphs and networks, and other scientific applications. This work focuses primarily on linear systems resulting from the discretization of partial differential equations (PDEs). Because solving linear systems is the bottleneck of many large simulation codes, there is a rich field of research in developing "fast" solvers, with the ultimate goal being a method that solves an n x n linear system in O(n) operations. One of the most effective classes of solvers is algebraic multigrid (AMG), which is a multilevel iterative method based on projecting the problem into progressively smaller spaces, and scales like O(n) or O(nlog n) for certain classes of problems. The field of AMG is well-developed for symmetric positive definite matrices, and is typically most effective on linear systems resulting from the discretization of scalar elliptic PDEs, such as the heat equation. Systems of PDEs can add additional difficulties, but the underlying linear algebraic theory is consistent and, in many cases, an elliptic system of PDEs can be handled well by AMG with appropriate modifications of the solver. Solving general, nonsymmetric linear systems remains the wild west of AMG (and other fast solvers), lacking significant results in convergence theory as well as robust methods. Here, we develop new theoretical motivation and practical variations of AMG to solve nonsymmetric linear systems, often resulting from the discretization of hyperbolic PDEs. In particular, multilevel convergence of AMG for nonsymmetric systems is proven for the first time. A new nonsymmetric AMG solver is also developed based on an approximate ideal restriction, referred to as AIR, which is able to solve advection-dominated, hyperbolic-type problems that are outside the scope of existing AMG solvers and other fast iterative methods. AIR demonstrates scalable convergence on unstructured meshes, in multiple dimensions, and with high-order finite elements, expanding the applicability of AMG to a new class of problems
Copper Mountain Conference on Multigrid Methods : Program by Copper Mountain Conference on Iterative Methods( Book )

1 edition published in 1990 in English and held by 1 WorldCat member library worldwide

Seventh Copper Mountain conference on multigrid methods, part 2 : proceedings by Copper Mountain Conference on Multigrid Methods( Book )

1 edition published in 1996 in English and held by 1 WorldCat member library worldwide

Multigrid methods : Workshop : 6th Conference : Selected papers( Book )

1 edition published in 1993 in English and held by 1 WorldCat member library worldwide

 
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Alternative Names
Manteuffel, T. A. 1948-

Manteuffel, T. A. (Thomas Albert), 1948-

Manteuffel, Thomas A. 1948-

Manteuffel, Tom 1948-

Manteuffel, Tom A. 1948-

Languages
English (34)