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- Marian Brezina, Andrew J. Cleary, +5 authors John W. Ruge
- SIAM J. Scientific Computing
- 2001

We introduce AMGe, an algebraic multigrid method for solving the discrete equations that arise in Ritz-type finite element methods for partial differential equations. Assuming access to the elementâ€¦ (More)

Following our earlier work on general second-order scalar equations, here we develop a least-squares functional for the twoand three-dimensional Stokes equations, generalized slightly by allowing aâ€¦ (More)

This paper develops two first-order system least-squares (FOSLS) approaches for the solution of the pure traction problem in planar linear elasticity. Both are two-stage algorithms that first solveâ€¦ (More)

- Allison H. Baker, Elizabeth R. Jessup, Thomas A. Manteuffel
- SIAM J. Matrix Analysis Applications
- 2005

- Hans De Sterck, Thomas A. Manteuffel, +4 authors Geoffrey Sanders
- SIAM J. Scientific Computing
- 2010

A smoothed aggregation multigrid method is presented for the numerical calculation of the stationary probability vector of an irreducible sparse Markov chain. It is shown how smoothing theâ€¦ (More)

- Teri Barth, Thomas A. Manteuffel
- SIAM J. Matrix Analysis Applications
- 2000

In this paper we show that a conjugate gradient method can be implemented using a short multiple recursion for a wider class of matrices than that demonstrated by Faber and Manteuffel [SIAM J. Numer.â€¦ (More)

- Thomas A. Manteuffel, Klaus J. Ressel, Gerhard Starke
- SIAM J. Numerical Analysis
- 1999

The least-squares finite-element framework for the neutron transport equation is based on the minimization of a least-squares functional applied to the properly scaled neutron transport equation.â€¦ (More)

This paper develops a least-squares approach to the solution of the incompressible Navierâ€“Stokes equations in primitive variables. As with our earlier work on Stokes equations, we recast theâ€¦ (More)

This paper describes a technique for solving the large sparse symmetric linear systems that arise from the application of finite element methods. The technique combines an incomplete factorizationâ€¦ (More)

- Hans De Sterck, Thomas A. Manteuffel, Stephen F. McCormick, Quoc Nguyen, John W. Ruge
- SIAM J. Scientific Computing
- 2008

A multilevel adaptive aggregation method for calculating the stationary probability vector of an irreducible stochastic matrix is described. The method is a special case of the adaptive smoothedâ€¦ (More)