Thomas A. Manteuffel

CoRR, 2023

Special Section: 2020 Copper Mountain Conference.

[BibT_eX]

[DOI]

,

Irad Yavneh

SIAM J. Sci. Comput., 2021

Mixed (LL*)-1 and LL* least-squares finite element methods with application to linear hyperbolic problems.

[BibT_eX]

[DOI]

Delyan Z. Kalchev

,

,

Steffen Münzenmaier

CoRR, 2020

Convergence in Norm of Nonsymmetric Algebraic Multigrid.

[BibT_eX]

[DOI]

,

Ben S. Southworth

SIAM J. Sci. Comput., 2019

Nonsymmetric Reduction-Based Algebraic Multigrid.

[BibT_eX]

[DOI]

,

,

,

SIAM J. Sci. Comput., 2019

A Least-Squares Finite Element Method Based on the Helmholtz Decomposition for Hyperbolic Balance Laws.

[BibT_eX]

[DOI]

Delyan Z. Kalchev

,

CoRR, 2019

Nonsymmetric Algebraic Multigrid Based on Local Approximate Ideal Restriction (ℓAIR).

[BibT_eX]

[DOI]

,

John W. Ruge

,

Ben S. Southworth

SIAM J. Sci. Comput., 2018

Advances in implementation, theoretical motivation, and numerical results for the nested iteration with range decomposition algorithm.

[BibT_eX]

[DOI]

Wayne Mitchell

,

Numer. Linear Algebra Appl., 2018

Mixed and least-squares finite element methods with application to linear hyperbolic problems.

[BibT_eX]

[DOI]

Delyan Kalchev

,

,

Steffen Münzenmaier

Numer. Linear Algebra Appl., 2018

Algebraic multigrid for directed graph Laplacian linear systems (NS-LAMG).

[BibT_eX]

[DOI]

Alyson Fox

,

Numer. Linear Algebra Appl., 2018

Exploring basal sliding with a fluidity-based, ice-sheet model using FOSLS.

[BibT_eX]

[DOI]

Jeffery M. Allen

,

,

Harihar Rajaram

Numer. Linear Algebra Appl., 2018

A Root-Node-Based Algebraic Multigrid Method.

[BibT_eX]

[DOI]

,

,

,

SIAM J. Sci. Comput., 2017

A Comparison of Finite Element Spaces for H(div) Conforming First-Order System Least Squares.

[BibT_eX]

[DOI]

Christopher A. Leibs

,

,

Steffen Münzenmaier

SIAM J. Sci. Comput., 2017

Numerical Methods for Gremban's Expansion of Signed Graphs.

[BibT_eX]

[DOI]

Alyson Fox

,

,

Geoffrey Sanders

SIAM J. Sci. Comput., 2017

Multigrid Reduction in Time for Nonlinear Parabolic Problems: A Case Study.

[BibT_eX]

[DOI]

,

,

,

SIAM J. Sci. Comput., 2017

A Fluidity-Based First-Order System Least-Squares Method for Ice Sheets.

[BibT_eX]

[DOI]

,

,

,

SIAM J. Sci. Comput., 2017

A low-communication, parallel algorithm for solving PDEs based on range decomposition.

[BibT_eX]

[DOI]

,

,

,

Numer. Linear Algebra Appl., 2017

Constrained Optimization for Liquid Crystal Equilibria.

[BibT_eX]

[DOI]

,

,

,

SIAM J. Sci. Comput., 2016

Nested Iteration and First-Order Systems Least Squares for a Two-Fluid Electromagnetic Darwin Model.

[BibT_eX]

[DOI]

Christopher A. Leibs

,

SIAM J. Sci. Comput., 2015

FOSLL* for Nonlinear Partial Differential Equations.

[BibT_eX]

[DOI]

,

,

Chad R. Westphal

SIAM J. Sci. Comput., 2015

Least-Squares Finite Element Discretization of the Neutron Transport Equation in Spherical Geometry.

[BibT_eX]

[DOI]

Christian Ketelsen

,

,

Jacob B. Schroder

SIAM J. Sci. Comput., 2015

Algebraic Multigrid Domain and Range Decomposition (AMG-DD/AMG-RD).

[BibT_eX]

[DOI]

,

,

,

,

,

SIAM J. Sci. Comput., 2015

Enhancing Least-Squares Finite Element Methods Through a Quantity-of-Interest.

[BibT_eX]

[DOI]

Jehanzeb Hameed Chaudhry

,

,

,

,

,

SIAM J. Numer. Anal., 2014

Smoothed aggregation algebraic multigrid for stochastic PDE problems with layered materials.

[BibT_eX]

[DOI]

,

,

,

,

Numer. Linear Algebra Appl., 2014

Echocardiographic particle imaging velocimetry data assimilation with least square finite element methods.

[BibT_eX]

[DOI]

Prathish K. Rajaraman

,

,

,

,

Comput. Math. Appl., 2014

Island Coalescence Using Parallel First-Order System Least Squares on Incompressible Resistive Magnetohydrodynamics.

[BibT_eX]

[DOI]

,

,

,

,

,

SIAM J. Sci. Comput., 2013

Hybrid First-Order System Least Squares Finite Element Methods with Application to Stokes Equations.

[BibT_eX]

[DOI]

,

,

,

,

SIAM J. Numer. Anal., 2013

Relaxation-corrected bootstrap algebraic multigrid (rBAMG).

[BibT_eX]

[DOI]

,

,

,

,

,

Numer. Linear Algebra Appl., 2012

Parallel adaptive mesh refinement for first-order system least squares.

[BibT_eX]

[DOI]

,

,

,

,

,

Numer. Linear Algebra Appl., 2012

Semi-automatic sparse preconditioners for high-order finite element methods on non-uniform meshes.

[BibT_eX]

[DOI]

,

,

,

,

,

J. Comput. Phys., 2012

Special Section: 2010 Copper Mountain Conference.

[BibT_eX]

[DOI]

,

,

,

,

,

,

,

,

,

,

,

,

,

,

SIAM J. Sci. Comput., 2011

Efficiency Based Adaptive Local Refinement for First-Order System Least-Squares Formulations.

[BibT_eX]

[DOI]

,

,

,

,

,

SIAM J. Sci. Comput., 2011

First-order system least squares and the energetic variational approach for two-phase flow.

[BibT_eX]

[DOI]

,

,

,

,

J. Comput. Phys., 2011

Top-level acceleration of adaptive algebraic multilevel methods for steady-state solution to Markov chains.

[BibT_eX]

[DOI]

,

,

,

Adv. Comput. Math., 2011

Algebraic Multigrid for Markov Chains.

[BibT_eX]

[DOI]

,

,

,

,

,

SIAM J. Sci. Comput., 2010

Smoothed Aggregation Multigrid for Markov Chains.

[BibT_eX]

[DOI]

,

,

,

,

,

,

SIAM J. Sci. Comput., 2010

Towards Adaptive Smoothed Aggregation (AlphaSA) for Nonsymmetric Problems.

[BibT_eX]

[DOI]

,

,

,

,

SIAM J. Sci. Comput., 2010

Least-Squares Finite Element Methods for Quantum Electrodynamics.

[BibT_eX]

[DOI]

,

,

,

SIAM J. Sci. Comput., 2010

Nested Iteration and First-Order System Least Squares for Incompressible, Resistive Magnetohydrodynamics.

[BibT_eX]

[DOI]

,

,

,

,

SIAM J. Sci. Comput., 2010

First-Order System Least Squares for Incompressible Resistive Magnetohydrodynamics.

[BibT_eX]

[DOI]

,

,

,

SIAM J. Sci. Comput., 2010

Operator-based interpolation for bootstrap algebraic multigrid.

[BibT_eX]

[DOI]

,

,

,

Numer. Linear Algebra Appl., 2010

Further results on error estimators for local refinement with first-order system least squares (FOSLS).

[BibT_eX]

[DOI]

,

,

,

,

Numer. Linear Algebra Appl., 2010

Finite element methods for quantum electrodynamics using a Helmholtz decomposition of the gauge field.

[BibT_eX]

[DOI]

,

,

,

Numer. Linear Algebra Appl., 2010

Weighted least-squares finite elements based on particle imaging velocimetry data.

[BibT_eX]

[DOI]

,

,

,

,

,

J. Comput. Phys., 2010

Enhanced Mass Conservation in Least-Squares Methods for Navier-Stokes Equations.

[BibT_eX]

[DOI]

,

,

,

,

SIAM J. Sci. Comput., 2009

Multilevel Adaptive Aggregation for Markov Chains, with Application to Web Ranking.

[BibT_eX]

[DOI]

,

,

,

,

SIAM J. Sci. Comput., 2008

Weighted-Norm First-Order System Least-Squares (FOSLS) for Div/Curl Systems with Three Dimensional Edge Singularities.

[BibT_eX]

[DOI]

,

,

C. R. Westphal

SIAM J. Numer. Anal., 2008

Efficiency-based h- and hp-refinement strategies for finite element methods.

[BibT_eX]

[DOI]

,

,

,

,

,

Numer. Linear Algebra Appl., 2008

A generalized eigensolver based on smoothed aggregation (GES-SA) for initializing smoothed aggregation (SA) multigrid.

[BibT_eX]

[DOI]

,

,

,

,

,

Panayot S. Vassilevski

Numer. Linear Algebra Appl., 2008

Spatial Multigrid for Isotropic Neutron Transport.

[BibT_eX]

[DOI]

,

,

,

,

SIAM J. Sci. Comput., 2007

FOSLL∗ Method for the Eddy Current Problem with Three-Dimensional Edge Singularities.

[BibT_eX]

[DOI]

,

SIAM J. Numer. Anal., 2007

An alternative least-squares formulation of the Navier-Stokes equations with improved mass conservation.

[BibT_eX]

[DOI]

,

,

,

J. Comput. Phys., 2007

On Mass-Conserving Least-Squares Methods.

[BibT_eX]

[DOI]

,

,

,

SIAM J. Sci. Comput., 2006

Adaptive Algebraic Multigrid.

[BibT_eX]

[DOI]

,

,

,

,

,

SIAM J. Sci. Comput., 2006

First-Order System Least Squares for Geometrically Nonlinear Elasticity.

[BibT_eX]

[DOI]

,

,

,

SIAM J. Numer. Anal., 2006

Projection Multilevel Methods for Quasilinear Elliptic Partial Differential Equations: Numerical Results.

[BibT_eX]

[DOI]

,

,

,

SIAM J. Numer. Anal., 2006

Projection Multilevel Methods for Quasilinear Elliptic Partial Differential Equations: Theoretical Results.

[BibT_eX]

[DOI]

,

,

Oliver Röhrle

SIAM J. Numer. Anal., 2006

Weighted-Norm First-Order System Least Squares (FOSLS) for Problems with Corner Singularities.

[BibT_eX]

[DOI]

,

,

C. R. Westphal

SIAM J. Numer. Anal., 2006

A Least-Squares Finite Element Method for the Linear Boltzmann Equation with Anisotropic Scattering.

[BibT_eX]

[DOI]

Travis M. Austin

,

SIAM J. Numer. Anal., 2006

Adaptive reduction-based AMG.

[BibT_eX]

[DOI]

Scott P. MacLachlan

,

,

Steve F. McCormick

Numer. Linear Algebra Appl., 2006

First-order system least squares for the Oseen equations.

[BibT_eX]

[DOI]

,

,

,

,

Numer. Linear Algebra Appl., 2006

An energy-based AMG coarsening strategy.

[BibT_eX]

[DOI]

,

,

,

,

,

Numer. Linear Algebra Appl., 2006

Numerical Conservation Properties of H(div)-Conforming Least-Squares Finite Element Methods for the Burgers Equation.

[BibT_eX]

[DOI]

,

,

,

SIAM J. Sci. Comput., 2005

Adaptive Smoothed Aggregation (AlphaSA) Multigrid.

[BibT_eX]

[DOI]

,

,

,

,

,

SIAM Rev., 2005

First-Order System LL* (FOSLL*) for General Scalar Elliptic Problems in the Plane.

[BibT_eX]

[DOI]

,

,

,

SIAM J. Numer. Anal., 2005

Analysis of First-Order System Least Squares (FOSLS) for Elliptic Problems with Discontinuous Coefficients: Part I.

[BibT_eX]

[DOI]

,

,

,

SIAM J. Numer. Anal., 2005

Analysis of First-Order System Least Squares (FOSLS) for Elliptic Problems with Discontinuous Coefficients: Part II.

[BibT_eX]

[DOI]

Markus Berndt

,

,

SIAM J. Numer. Anal., 2005

A Technique for Accelerating the Convergence of Restarted GMRES.

[BibT_eX]

[DOI]

Allison H. Baker

,

Elizabeth R. Jessup

,

SIAM J. Matrix Anal. Appl., 2005

Least-Squares Finite Element Methods and Algebraic Multigrid Solvers for Linear Hyperbolic PDEs.

[BibT_eX]

[DOI]

,

,

,

SIAM J. Sci. Comput., 2004

Adaptive Smoothed Aggregation (αSA).

[BibT_eX]

[DOI]

,

,

,

,

,

SIAM J. Sci. Comput., 2004

First-Order System Least Squares and Electrical Impedance Tomography.

[BibT_eX]

[DOI]

H. R. MacMillan

,

,

SIAM J. Numer. Anal., 2004

A robust multilevel approach for minimizing H(div)-dominated functionals in an H1-conforming finite element space.

[BibT_eX]

[DOI]

Travis M. Austin

,

,

Steve F. McCormick

Numer. Linear Algebra Appl., 2004

Spectral AMGe (ρAMGe).

[BibT_eX]

[DOI]

,

,

,

,

,

,

,

Panayot S. Vassilevski

SIAM J. Sci. Comput., 2003

A Moment-Parity Multigrid Preconditioner for the First-Order System Least-Squares Formulation of the Boltzmann Transport Equation.

[BibT_eX]

[DOI]

Peter N. Brown

,

Barry Lee

,

SIAM J. Sci. Comput., 2003

Multilevel First-Order System Least Squares for Elliptic Grid Generation.

[BibT_eX]

[DOI]

,

,

,

SIAM J. Numer. Anal., 2003

Multilevel First-Order System Least Squares for Nonlinear Elliptic Partial Differential Equations.

[BibT_eX]

[DOI]

A. L. Codd

,

,

SIAM J. Numer. Anal., 2003

Improved discretization error estimates for first-order system least squares.

[BibT_eX]

[DOI]

,

,

Christoph Pflaum

J. Num. Math., 2003

Algebraic Multigrid Based on Element Interpolation (AMGe).

[BibT_eX]

[DOI]

,

,

,

,

,

,

,

SIAM J. Sci. Comput., 2001

First-Order System \CL\CL* (FOSLL*): Scalar Elliptic Partial Differential Equations.

[BibT_eX]

[DOI]

,

,

,

SIAM J. Numer. Anal., 2001

First-Order System Least-Squares for the Helmholtz Equation.

[BibT_eX]

[DOI]

,

,

,

SIAM J. Sci. Comput., 2000

Robustness and Scalability of Algebraic Multigrid.

[BibT_eX]

[DOI]

,

,

,

,

,

,

,

SIAM J. Sci. Comput., 2000

First-Order System Least Squares for the Stokes and Linear Elasticity Equations: Further Results.

[BibT_eX]

[DOI]

,

,

,

SIAM J. Sci. Comput., 2000

First-Order System Least Squares For Linear Elasticity: Numerical Results.

[BibT_eX]

[DOI]

,

,

,

SIAM J. Sci. Comput., 2000

First-Order System Least Squares (FOSLS) for Spatial Linear Elasticity: Pure Traction.

[BibT_eX]

[DOI]

Sang Dong Kim

,

,

SIAM J. Numer. Anal., 2000

Multiple Recursion Conjugate Gradient Algorithms Part I: Sufficient Conditions.

[BibT_eX]

[DOI]

Teri Barth

,

SIAM J. Matrix Anal. Appl., 2000

A Boundary Functional for the Least-Squares Finite- Element Solution of Neutron Transport Problems.

[BibT_eX]

[DOI]

,

Klaus J. Ressel

,

Gerhard Starke

SIAM J. Numer. Anal., 1999

First-Order System Least Squares (FOSLS) for Convection-Diffusion Problems: Numerical Results.

[BibT_eX]

[DOI]

Jean Michel Fiard

,

,

SIAM J. Sci. Comput., 1998

A Fast Multigrid Algorithm for Isotropic Transport Problems. II: With Absorption.

[BibT_eX]

[DOI]

,

,

,

SIAM J. Sci. Comput., 1996

Special Issue on Iterative Methods in Numerical Linear Algebra.

[BibT_eX]

[DOI]

SIAM J. Sci. Comput., 1996

Minimal Residual Method Stronger than Polynomial Preconditioning.

[BibT_eX]

[DOI]

,

,

,

SIAM J. Matrix Anal. Appl., 1996

A Fast Multigrid Algorithm for Isotropic Transport Problems I: Pure Scattering.

[BibT_eX]

[DOI]

,

,

,

,

SIAM J. Sci. Comput., 1995

A Parallel Version of a Multigrid Algorithm for Isotropic Transport Equations.

[BibT_eX]

[DOI]

,

,

,

,

SIAM J. Sci. Comput., 1994

Special Section on Iterative Methods in Numerical Linear Algebra.

[BibT_eX]

[DOI]

,

Steve F. McCormick

SIAM J. Sci. Comput., 1994

An Upper Bound on the Diameter of a Graph from Eigenvalues Associated with its Laplacian.

[BibT_eX]

[DOI]

Fan R. K. Chung

,

Vance Faber

,

SIAM J. Discret. Math., 1994

On the roots of the orthogonal polynomials and residual polynomials associated with a conjugate gradient method.

[BibT_eX]

[DOI]

,

James S. Otto

Numer. Linear Algebra Appl., 1994

Special Issue on Iterative Methods in Numerical Linear Algebra.

[BibT_eX]

[DOI]

,

Linda R. Petzold

SIAM J. Sci. Comput., 1992

Preconditioning Second-Order Elliptic Operators: Experiment and Theory.

[BibT_eX]

[DOI]

,

,

,

SIAM J. Sci. Comput., 1992

A Comparison of Adaptive Chebyshev and Least Squares Polynomial Preconditioning for Hermitian Positive Definite Linear Systems.

[BibT_eX]

[DOI]

Steven F. Ashby

,

,

James S. Otto

SIAM J. Sci. Comput., 1992

Introduction.

[BibT_eX]

[DOI]