research overview
- Professor Manteuffel's research area is Computational Mathematics, which is concerned with the development of algorithms for resolving mathematical models used in large-scale scientific computing.
- Contact Info
Manteuffel, Thomas A
Positions
- Professor Emerita/Emeritus, Applied Mathematics
Research Areas
Research
keywords
- Computational Mathematics, Iterative methods for large sparse linear systems, Multigrid Methods, Numerical Solution of Partial Differential equations, Scientific computing, High Performance Computing
Publications
selected publications
-
book
-
ITERATIVE METHODS IN NUMERICAL LINEAR ALGEBRA.
Ed. 13.
1992
-
ITERATIVE METHODS IN NUMERICAL LINEAR ALGEBRA.
Ed. 13.
1992
-
chapter
-
Adaptive Smoothed Aggregation in Lattice QCD.
505-512.
2007
-
Spectral Element Agglomerate AMGe.
513-521.
2007
- Conjugate gradient algorithms using multiple recursions. 107-123. 1996
- Adaptive polynomial preconditioning for HPD linear systems. 3-23. 1990
- Iterative methods for nonsymmetric linear systems. 149-171. 1990
- A look at transport theory from the point of view of linear algebra. 37-61. 1989
- Numerical solution of partial differential equations on irregular grids. 417-426. 1988
- Second-order accurate difference schemes on highly irregular meshes. 239-244. 1988
- Dynamic Acceleration of Nonlinear Iterations 1984
- Dynamic acceleration of nonlinear iterations. 301-313. 1984
- Solving structures problems iteratively with a shifted incomplete Cholesky preconditioning. 427-444. 1980
- Shifted incomplete Cholesky factorization. 41-61. 1979
-
Adaptive Smoothed Aggregation in Lattice QCD.
505-512.
2007
-
conference proceeding
- Transport theory, invariant imbedding, and integral equations. xxviii+444-xxviii+444. 1989
-
journal article
-
Smoothed aggregation algebraic multigrid for stochastic PDE problems with layered materials.
Numerical Linear Algebra with Applications.
239-255.
2014
-
HYBRID FIRST-ORDER SYSTEM LEAST SQUARES FINITE ELEMENT METHODS WITH APPLICATION TO STOKES EQUATIONS.
SIAM Journal on Numerical Analysis.
2214-2237.
2013
-
ISLAND COALESCENCE USING PARALLEL FIRST-ORDER SYSTEM LEAST SQUARES ON INCOMPRESSIBLE RESISTIVE MAGNETOHYDRODYNAMICS.
SIAM Journal on Scientific Computing.
S171-S191.
2013
-
Semi-automatic sparse preconditioners for high-order finite element methods on non-uniform meshes.
Journal of Computational Physics.
4694-4708.
2012
-
Parallel adaptive mesh refinement for first-order system least squares.
Numerical Linear Algebra with Applications.
343-366.
2012
-
Relaxation-corrected bootstrap algebraic multigrid (rBAMG).
Numerical Linear Algebra with Applications.
178-193.
2012
-
Top-level acceleration of adaptive algebraic multilevel methods for steady-state solution to Markov chains.
Advances in Computational Mathematics.
375-403.
2011
-
First-order system least squares and the energetic variational approach for two-phase flow.
Journal of Computational Physics.
6647-6663.
2011
-
EFFICIENCY BASED ADAPTIVE LOCAL REFINEMENT FOR FIRST-ORDER SYSTEM LEAST-SQUARES FORMULATIONS.
SIAM Journal on Scientific Computing.
1-24.
2011
-
Adaptive Multigrid Algorithm for the Lattice Wilson-Dirac Operator.
Physical Review Letters.
2010
-
Finite element methods for quantum electrodynamics using a Helmholtz decomposition of the gauge field.
Numerical Linear Algebra with Applications.
539-556.
2010
-
Further results on error estimators for local refinement with first-order system least squares (FOSLS).
Numerical Linear Algebra with Applications.
387-413.
2010
-
Operator-based interpolation for bootstrap algebraic multigrid.
Numerical Linear Algebra with Applications.
519-537.
2010
-
ALGEBRAIC MULTIGRID FOR MARKOV CHAINS.
SIAM Journal on Scientific Computing.
544-562.
2010
-
FIRST-ORDER SYSTEM LEAST SQUARES FOR INCOMPRESSIBLE RESISTIVE MAGNETOHYDRODYNAMICS.
SIAM Journal on Scientific Computing.
229-248.
2010
-
LEAST-SQUARES FINITE ELEMENT METHODS FOR QUANTUM ELECTRODYNAMICS.
SIAM Journal on Scientific Computing.
398-417.
2010
-
NESTED ITERATION AND FIRST-ORDER SYSTEM LEAST SQUARES FOR INCOMPRESSIBLE, RESISTIVE MAGNETOHYDRODYNAMICS.
SIAM Journal on Scientific Computing.
1506-1526.
2010
-
SMOOTHED AGGREGATION MULTIGRID FOR MARKOV CHAINS.
SIAM Journal on Scientific Computing.
40-61.
2010
-
TOWARDS ADAPTIVE SMOOTHED AGGREGATION (αSA) FOR NONSYMMETRIC PROBLEMS.
SIAM Journal on Scientific Computing.
14-39.
2010
-
Weighted least-squares finite elements based on particle imaging velocimetry data.
Journal of Computational Physics.
107-118.
2010
-
ENHANCED MASS CONSERVATION IN LEAST-SQUARES METHODS FOR NAVIER-STOKES EQUATIONS.
SIAM Journal on Scientific Computing.
2303-2321.
2009
-
A generalized eigensolver based on smoothed aggregation (GES-SA) for initializing smoothed aggregation (SA) multigrid.
Numerical Linear Algebra with Applications.
249-269.
2008
-
Efficiency-based h- and hp-refinement strategies for finite element methods.
Numerical Linear Algebra with Applications.
89-114.
2008
-
MULTILEVEL ADAPTIVE AGGREGATION FOR MARKOV CHAINS, WITH APPLICATION TO WEB RANKING.
SIAM Journal on Scientific Computing.
2235-2262.
2008
-
Weighted-norm first-order system least-squares (FOSLS) for div/curl systems with three dimensional edge singularities.
SIAM Journal on Numerical Analysis.
1619-1639.
2008
-
An alternative least-squares formulation of the Navier-Stokes equations with improved mass conservation.
Journal of Computational Physics.
994-1006.
2007
-
FOSLL* method for the eddy current problem with three-dimensional edge singularities.
SIAM Journal on Numerical Analysis.
787-809.
2007
-
Spatial multigrid for isotropic neutron transport.
SIAM Journal on Scientific Computing.
1900-1917.
2007
-
Adaptive reduction-based AMG.
Numerical Linear Algebra with Applications.
599-620.
2006
-
First-order system least squares for the Oseen equations.
Numerical Linear Algebra with Applications.
523-542.
2006
-
First-order system least-squares (FOSLS) for modeling blood flow.
Medical Engineering and Physics.
495-503.
2006
-
An energy-based AMG coarsening strategy.
Numerical Linear Algebra with Applications.
133-148.
2006
-
A least-squares finite element method for the linear Boltzmann equation with anisotropic scattering.
SIAM Journal on Numerical Analysis.
540-560.
2006
-
Adaptive algebraic multigrid.
SIAM Journal on Scientific Computing.
1261-1286.
2006
-
Extending the applicability of multigrid methods.
Journal of Physics : Conference Series.
443-452.
2006
-
First-order system least squares for geometrically nonlinear elasticity.
SIAM Journal on Numerical Analysis.
2057-2081.
2006
-
On mass-conserving least-squares methods.
SIAM Journal on Scientific Computing.
1675-1693.
2006
-
Projection multilevel methods for quasilinear elliptic partial differential equations: Numerical results.
SIAM Journal on Numerical Analysis.
120-138.
2006
-
Projection multilevel methods for quasilinear elliptic partial differential equations: Theoretical results.
SIAM Journal on Numerical Analysis.
139-152.
2006
-
Weighted-norm first-order system least squares (FOSLS) for problems with corner singularities.
SIAM Journal on Numerical Analysis.
1974-1996.
2006
-
Adaptive smoothed aggregation (αSA) multigrid.
SIAM Review.
317-346.
2005
-
Algebraic multigrid for higher-order finite elements.
Journal of Computational Physics.
520-532.
2005
-
A technique for accelerating the convergence of restarted GMRES.
SIAM Journal on Matrix Analysis and Applications.
962-984.
2005
-
Analysis of first-order system least squares (FOSLS) for elliptic problems with discontinuous coefficients: Part I.
SIAM Journal on Numerical Analysis.
386-408.
2005
-
Analysis of first-order system least squares (FOSLS) for elliptic problems with discontinuous coefficients: Part II.
SIAM Journal on Numerical Analysis.
409-436.
2005
-
First-order system LL* (FOSLL*) for general scalar elliptic problems in the plane.
SIAM Journal on Numerical Analysis.
2098-2120.
2005
-
Numerical conservation properties of H(div)-conforming least-squares finite element methods for the Burgers equation.
SIAM Journal on Scientific Computing.
1573-1597.
2005
-
First-order system least squares (FOSLS) for coupled fluid-elastic problems.
Journal of Computational Physics.
560-575.
2004
-
A robust multilevel approach for minimizing H(div)-dominated functionals in an H-1-conforming finite element space.
Numerical Linear Algebra with Applications.
115-140.
2004
-
Adaptive smoothed aggregation (αSA).
SIAM Journal on Scientific Computing.
1896-1920.
2004
-
First-order system least squares and electrical impedance tomography.
SIAM Journal on Numerical Analysis.
461-483.
2004
-
Least-squares finite element methods and algebraic multigrid solvers for linear hyperbolic PDEs.
SIAM Journal on Scientific Computing.
31-54.
2004
- Modeling 3-D compliant blood flow with fosls. ISA TECH/EXPO Technology Update Conference Proceedings. 193-199. 2004
-
Algebraic elimination of slide surface constraints in implicit structural analysis.
International Journal for Numerical Methods in Engineering.
1129-1144.
2003
-
Improved discretization error estimates for first-order system least squares.
East West Journal of Numerical Mathematics.
163-177.
2003
-
A moment-parity multigrid preconditioner for the first-order system least-squares formulation of the Boltzmann transport equation.
SIAM Journal on Scientific Computing.
513-533.
2003
-
Multilevel first-order system least squares for elliptic grid generation.
SIAM Journal on Numerical Analysis.
2210-2232.
2003
-
Multilevel first-order system least squares for nonlinear elliptic partial differential equations.
SIAM Journal on Numerical Analysis.
2197-2209.
2003
-
Spectral AMGe (ρAMGe).
SIAM Journal on Scientific Computing.
1-26.
2003
-
Iterative schemes for the neutron diffusion equation.
Computers and Mathematics with Applications.
1307-1323.
2002
- First-order system least squares for elastohydrodynamics with application to flow in compliant blood vessels.. Biomedical sciences instrumentation. 277-282. 2002
-
First-order system LL (FOSLL*): Scalar elliptic partial differential equations.
SIAM Journal on Numerical Analysis.
1418-1445.
2001
-
The role of the inner product in stopping criteria for conjugate gradient iterations.
BIT Numerical Mathematics.
26-52.
2001
-
First-order system least squares (FOSLS) for spatial linear elasticity: Pure traction.
SIAM Journal on Numerical Analysis.
1454-1482.
2000
-
First-order system least squares for linear elasticity: Numerical results.
SIAM Journal on Scientific Computing.
1706-1727.
2000
-
First-order system least squares for the Stokes and linear elasticity equations: Further results.
SIAM Journal on Scientific Computing.
1728-1739.
2000
-
First-order system least-squares for the Helmholtz equation.
SIAM Journal on Scientific Computing.
1927-1949.
2000
-
Robustness and scalability of algebraic multigrid.
SIAM Journal on Scientific Computing.
1886-1908.
2000
-
Multiple recursion conjugate gradient algorithms part I: Sufficient conditions.
SIAM Journal on Matrix Analysis and Applications.
768-796.
2000
-
Algebraic multigrid based on element interpolation (AMGE).
SIAM Journal on Scientific Computing.
1570-1592.
2000
-
A boundary functional for the least-squares finite-element solution of neutron transport problems.
SIAM Journal on Numerical Analysis.
556-586.
2000
-
Analysis of velocity-flux least-squares principles for the Navier-Stokes equations: Part II.
SIAM Journal on Numerical Analysis.
1125-1144.
1999
-
Note: An Upper Bound for the Diameter of a Graph.
SIAM Journal on Discrete Mathematics.
412-412.
1999
-
First-order system least squares (FOSLS) for convection-diffusion problems: Numerical results.
SIAM Journal on Scientific Computing.
1958-1979.
1998
-
Analysis of velocity-flux first-order system least-squares principles for the Navier-Stokes equations: Part I.
SIAM Journal on Numerical Analysis.
990-1009.
1998
-
Least-squares finite-element solution of the neutron transport equation in diffusive regimes.
SIAM Journal on Numerical Analysis.
806-835.
1998
-
First-order system least squares (FOSLS) for planar linear elasticity: Pure traction problem.
SIAM Journal on Numerical Analysis.
320-335.
1998
-
First-order system least squares for the Stokes equations, with application to linear elasticity.
SIAM Journal on Numerical Analysis.
1727-1741.
1997
-
First-order system least squares for second-order partial differential equations .2..
SIAM Journal on Numerical Analysis.
425-454.
1997
- Local error estimates and adaptive refinement for first-order system least squares (FOSLS). Electronic Transactions on Numerical Analysis. 35-43 (electronic). 1997
-
A fast multigrid algorithm for isotropic transport problems .2. With absorption.
SIAM Journal on Scientific Computing.
1449-1474.
1996
-
Minimal residual method stronger than polynomial preconditioning.
SIAM Journal on Matrix Analysis and Applications.
707-729.
1996
-
On hybrid iterative methods for nonsymmetric systems of linear equations.
Numerische Mathematik.
489-506.
1996
-
A FAST MULTIGRID ALGORITHM FOR ISOTROPIC TRANSPORT PROBLEMS .1. PURE SCATTERING.
SIAM Journal on Scientific Computing.
601-635.
1995
-
ACCURATE DISCRETIZATION FOR SINGULAR PERTURBATIONS - THE ONE-DIMENSIONAL CASE.
SIAM Journal on Numerical Analysis.
83-109.
1995
- Adaptive $K$-step iterative methods for nonsymmetric systems of linear equations. Electronic Transactions on Numerical Analysis. 50-65 (electronic). 1995
- First-order system least squares for velocity-vorticity-pressure form of the Stokes equations, with application to linear elasticity. Electronic Transactions on Numerical Analysis. 150-159 (electronic). 1995
-
1ST-ORDER SYSTEM LEAST-SQUARES FOR 2ND-ORDER PARTIAL-DIFFERENTIAL EQUATIONS .1..
SIAM Journal on Numerical Analysis.
1785-1799.
1994
-
On the Roots of the Orthogonal Polynomials and Residual Polynomials Associated with a Conjugate Gradient Method.
Numerical Linear Algebra with Applications.
449-475.
1994
-
AN UPPER BOUND ON THE DIAMETER OF A GRAPH FROM EIGENVALUES ASSOCIATED WITH ITS LAPLACIAN.
SIAM Journal on Discrete Mathematics.
443-457.
1994
-
A PARALLEL VERSION OF A MULTIGRID ALGORITHM FOR ISOTROPIC TRANSPORT-EQUATIONS.
SIAM Journal on Scientific Computing.
474-493.
1994
- Dedication to Seymour V. Parter on the occasion of his 65th birthday. SIAM Journal on Numerical Analysis. vii-ix. 1994
-
OPTIMAL EQUIVALENT PRECONDITIONERS.
SIAM Journal on Numerical Analysis.
790-812.
1993
-
PRECONDITIONING AND BOUNDARY-CONDITIONS WITHOUT H-2 ESTIMATES - L(2) CONDITION NUMBERS AND THE DISTRIBUTION OF THE SINGULAR-VALUES.
SIAM Journal on Numerical Analysis.
343-376.
1993
-
A CALCULUS OF DIFFERENCE-SCHEMES FOR THE SOLUTION OF BOUNDARY-VALUE-PROBLEMS ON IRREGULAR MESHES.
SIAM Journal on Numerical Analysis.
1321-1346.
1992
-
A COMPARISON OF ADAPTIVE CHEBYSHEV AND LEAST-SQUARES POLYNOMIAL PRECONDITIONING FOR HERMITIAN POSITIVE DEFINITE LINEAR-SYSTEMS.
SIAM Journal on Scientific Computing.
1-29.
1992
-
PRECONDITIONING 2ND-ORDER ELLIPTIC-OPERATORS - EXPERIMENT AND THEORY.
SIAM Journal on Scientific Computing.
259-288.
1992
-
A TAXONOMY FOR CONJUGATE-GRADIENT METHODS.
SIAM Journal on Numerical Analysis.
1542-1568.
1990
-
ON THE THEORY OF EQUIVALENT OPERATORS AND APPLICATION TO THE NUMERICAL-SOLUTION OF UNIFORMLY ELLIPTIC PARTIAL-DIFFERENTIAL EQUATIONS.
Advances in Applied Mathematics.
109-163.
1990
-
PRECONDITIONING AND BOUNDARY-CONDITIONS.
SIAM Journal on Numerical Analysis.
656-694.
1990
-
ADAPTIVE POLYNOMIAL PRECONDITIONING FOR HERMITIAN INDEFINITE LINEAR-SYSTEMS.
BIT Numerical Mathematics.
583-609.
1989
-
AN ANALYSIS OF BLOCK SUCCESSIVE OVERRELAXATION FOR A CLASS OF MATRICES WITH COMPLEX SPECTRA.
SIAM Journal on Numerical Analysis.
564-585.
1988
-
ORTHOGONAL ERROR METHODS.
SIAM Journal on Numerical Analysis.
170-187.
1987
-
ON THE EFFICIENT NUMERICAL-SOLUTION OF SYSTEMS OF 2ND-ORDER BOUNDARY-VALUE-PROBLEMS.
SIAM Journal on Numerical Analysis.
996-1006.
1986
- SUPRA-CONVERGENT SCHEMES ON IRREGULAR GRIDS. Mathematics of Computation. 537-554. 1986
-
THE NUMERICAL-SOLUTION OF 2ND-ORDER BOUNDARY-VALUE-PROBLEMS ON NONUNIFORM MESHES.
Mathematics of Computation.
511-535.
1986
-
ASYMPTOTIC-BEHAVIOR OF SINGULAR-VALUES AND SINGULAR FUNCTIONS OF CERTAIN CONVOLUTION-OPERATORS.
Computers and Mathematics with Applications.
733-747.
1986
-
ADI AS A PRECONDITIONING FOR SOLVING THE CONVECTION-DIFFUSION EQUATION.
SIAM Journal on Scientific Computing.
281-299.
1984
-
NECESSARY AND SUFFICIENT CONDITIONS FOR THE EXISTENCE OF A CONJUGATE-GRADIENT METHOD.
SIAM Journal on Numerical Analysis.
352-362.
1984
-
OPTIMAL PARAMETERS FOR LINEAR 2ND-DEGREE STATIONARY ITERATIVE METHODS.
SIAM Journal on Numerical Analysis.
833-839.
1982
-
AN INTERVAL-ANALYSIS APPROACH TO RANK DETERMINATION IN LINEAR LEAST-SQUARES PROBLEMS.
SIAM Journal on Scientific Computing.
335-348.
1981
-
AN INCOMPLETE FACTORIZATION TECHNIQUE FOR POSITIVE DEFINITE LINEAR-SYSTEMS.
Mathematics of Computation.
473-497.
1980
-
ADAPTIVE PROCEDURE FOR ESTIMATING PARAMETERS FOR NONSYMMETRIC TCHEBYCHEV ITERATION.
Numerische Mathematik.
183-208.
1978
-
TCHEBYCHEV ITERATION FOR NONSYMMETRIC LINEAR-SYSTEMS.
Numerische Mathematik.
307-327.
1977
-
Smoothed aggregation algebraic multigrid for stochastic PDE problems with layered materials.
Numerical Linear Algebra with Applications.
239-255.
2014
Background
education and training
- Ph.D., University of Illinois at Urbana-Champaign 1975
- M.S., University of Illinois at Urbana-Champaign 1972
- B.S., University of Wisconsin-Madison 1970
awards and honors
International Activities
geographic focus
- Europe Continent