Stephen F. McCormick

CoRR, 2023

Multigrid Methods using Block Floating Point Arithmetic.

[BibT_eX]

[DOI]

Nils Kohl

CoRR, 2023

2021

Discretization-Error-Accurate Mixed-Precision Multigrid Solvers.

[BibT_eX]

[DOI]

Joseph Benzaken

SIAM J. Sci. Comput., 2021

Algebraic Error Analysis for Mixed-Precision Multigrid Solvers.

[BibT_eX]

[DOI]

Joseph Benzaken

SIAM J. Sci. Comput., 2021

2020

Weak Boundary Condition Enforcement for Linear Kirchhoff-Love Shells: Formulation, Error Analysis, and Verification.

[BibT_eX]

[DOI]

CoRR, 2020

2019

Parallel Performance of Algebraic Multigrid Domain Decomposition (AMG-DD).

[BibT_eX]

[DOI]

CoRR, 2019

2017

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

[BibT_eX]

[DOI]

Numer. Linear Algebra Appl., 2017

2015

Smoothed aggregation multigrid for cloth simulation.

[BibT_eX]

[DOI]

Toby Jones

ACM Trans. Graph., 2015

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

[BibT_eX]

[DOI]

SIAM J. Sci. Comput., 2015

2014

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

[BibT_eX]

[DOI]

Numer. Linear Algebra Appl., 2014

2013

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

2012

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

2011

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

2010

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

2009

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

[BibT_eX]

[DOI]

SIAM J. Sci. Comput., 2009

An Efficiency-Based Adaptive Refinement Scheme Applied to Incompressible, Resistive Magnetohydrodynamics.

[BibT_eX]

[DOI]

Proceedings of the Large-Scale Scientific Computing, 7th International Conference, 2009

2008

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

[BibT_eX]

[DOI]

SIAM J. Sci. Comput., 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

2007

Spatial Multigrid for Isotropic Neutron Transport.

[BibT_eX]

[DOI]

SIAM J. Sci. Comput., 2007

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

[BibT_eX]

[DOI]

J. Comput. Phys., 2007

2006

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

Adaptive reduction-based AMG.

[BibT_eX]

[DOI]

Scott P. MacLachlan

Tom Manteuffel

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

Guest Editors' Introduction: Multigrid Computing.

[BibT_eX]

[DOI]

Ulrich Rüde

Comput. Sci. Eng., 2006

2005

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

Projection Multilevel Methods for Quasi-linear PDEs: V-cycle Theory.

[BibT_eX]

[DOI]

Multiscale Model. Simul., 2005

2004

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

Asynchronous Fast Adaptive Composite-Grid Methods for Elliptic Problems: Theoretical Foundations.

[BibT_eX]

[DOI]

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

Numer. Linear Algebra Appl., 2004

2003

Asynchronous Fast Adaptive Composite-Grid Methods: Numerical Results.

[BibT_eX]

[DOI]

SIAM J. Sci. Comput., 2003

Spectral AMGe (ρAMGe).

[BibT_eX]

[DOI]

Panayot S. Vassilevski

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

2001

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

2000

A Nonlinear Multigrid Solver for a Semi-Lagrangian Potential Vorticity-Based Shallow-Water Model on the Sphere.

[BibT_eX]

[DOI]

SIAM J. Sci. Comput., 2000

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

A multigrid tutorial, Second Edition.

[BibT_eX]

William L. Briggs

Van Emden Henson

SIAM, ISBN: 978-0-89871-462-3, 2000

1998

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

[BibT_eX]

[DOI]

Jean Michel Fiard

SIAM J. Sci. Comput., 1998

1996

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

[BibT_eX]

[DOI]

SIAM J. Sci. Comput., 1996

Multilevel Image Reconstruction with Natural Pixels.

[BibT_eX]

[DOI]

SIAM J. Sci. Comput., 1996

1995

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

[BibT_eX]

[DOI]

SIAM J. Sci. Comput., 1995

1994

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]

Tom Manteuffel

SIAM J. Sci. Comput., 1994

1992

Multilevel projection methods for partial differential equations.

[BibT_eX]

CBMS-NSF regional conference series in applied mathematics 62, SIAM, ISBN: 978-0-89871-292-6, 1992

1990

On local refinement higher order methods for elliptic partial differential equations

[BibT_eX]

[DOI]

Ulrich Rüde

Forschungsberichte, TU Munich, 1990

1989

Asynchronous multilevel adaptive methods for solving partial differential equations on multiprocessors: performance results.

[BibT_eX]

[DOI]

Daniel J. Quinlan

Parallel Comput., 1989

Asynchronous multilevel adaptive methods for solving partial differential equations on multiprocessors: basic ideas.

[BibT_eX]

[DOI]

Leslie Hart

Parallel Comput., 1989

Computational Complexity of the Schwarz Alternating Procedure.

[BibT_eX]

[DOI]

Zhiqiang Cai

Int. J. High Speed Comput., 1989

Multilevel adaptive methods for partial differential equations.

[BibT_eX]

Frontiers in applied mathematics 6, SIAM, ISBN: 978-0-89871-247-6, 1989

1979

A general mesh independence principle for Newton's method applied to second order boundary value problems.

[BibT_eX]

[DOI]

Eugene L. Allgower

Daniel V. Pryor

Computing, 1979

1976

Some Convergence Results on the Method of Gradients for Ax = lambda Bx.

[BibT_eX]

[DOI]

J. Comput. Syst. Sci., 1976

SIGMAP/SIGSAM/SIGNUM(Paper Session).

[BibT_eX]

[DOI]

Proceedings of the 1976 Annual Conference, Houston, Texas, USA, October 20-22, 1976, 1976

Evaluation of the square root function on microprocessors.

[BibT_eX]

[DOI]

M. Andrews

G. D. Taylor

Proceedings of the 1976 Annual Conference, Houston, Texas, USA, October 20-22, 1976, 1976

1972

A General Approach to One-Step Iterative Methods with Application to Eigenvalue Problems.

[BibT_eX]

[DOI]