In preparation:
Computing continuous velocity fields in heterogeneous porous media,
E.T. Coon, S.P. MacLachlan, and J.D. Moulton, 2008.
Practical aspects of theoretical bounds for algebraic multigrid performance,
S. MacLachlan and L. Olson, 2008.
General strategies for modification of threshold-based incomplete factorizations,
S. MacLachlan and Y. Saad, 2008.
An angular multigrid method for monoenergetic
particle beams in Flatland, C. Börgers and
S. MacLachlan, 2008.
Reduction-based AMG methods for lattice quantum
chromodynamics, J. Brannick, A. Frommer, K. Kahl,
S. MacLachlan, and L. Zikatanov, 2008.
Fourier analysis of multigrid applied to systems
of PDEs, S.P. MacLachlan and C.W. Oosterlee, 2008.
Journal Articles:
A geometric multigrid method based on
L-shaped coarsening for PDEs on stretched grids, H. bin Zubair,
S.P. MacLachlan, and C.W. Oosterlee, Numerical Linear Algebra with
Applications, submitted, 2008.
A Comparison of Two-Level Preconditioners
based on Multigrid and Deflation, J.M. Tang, S.P. MacLachlan,
R. Nabben, and C. Vuik, SIAM J. Matrix Anal. Appl.,
submitted, 2008.
A multigrid-based shifted-Laplacian
preconditioner for a fourth-order Helmholtz discretization,
N. Umetani, S.P. MacLachlan, and C.W. Oosterlee, Numerical Linear
Algebra with Applications, submitted, 2008.
Fast and robust solvers for pressure
correction in bubbly flow problems, S.P. MacLachlan, J.M. Tang,
and C. Vuik, J. Comp. Phys.,
to appear, 2008.
Algebraic multigrid solvers for
complex-valued matrices, S.P. MacLachlan and C.W. Oosterlee, SIAM J. Sci. Comp.,
30:1548-1571, 2008.
Greedy coarsening strategies for
non-symmetric problems, S. MacLachlan and Y. Saad, SIAM J. Sci. Comp.,
29:2115-2143, 2007.
A greedy strategy for coarse-grid
selection, S. MacLachlan and Y. Saad, SIAM J. Sci. Comp.,
29:1825-1853, 2007.
Adaptive reduction-based AMG,
S. MacLachlan, T. Manteuffel, and S. McCormick, Numerical Linear
Algebra with Applications, 13:599-620, 2006.
An energy-based AMG coarsening strategy
, J. Brannick, M.
Brezina, S.
MacLachlan, T. Manteuffel, S. McCormick, and J. Ruge,
Numerical Linear Algebra with Applications, 13:133-148
2006.
Multilevel upscaling through
variational
coarsening, S.P. MacLachlan and J.D. Moulton, Water Resources
Research, 42, 2006.
Adaptive algebraic multigrid, M.
Brezina, R. Falgout, S. MacLachlan, T. Manteuffel, S. McCormick, and J.
Ruge, SIAM
J. Sci. Comp., 27:1261-1286, 2006.
Adaptive smoothed aggregation (aSA)
multigrid, M.
Brezina, R. Falgout, S. MacLachlan, T. Manteuffel, S. McCormick, and J.
Ruge, SIAM Review,
47:317-346, 2005.
Adaptive smoothed aggregation (aSA), M.
Brezina, R. Falgout, S. MacLachlan, T. Manteuffel, S. McCormick, and J.
Ruge, SIAM J. Sci. Comp., 25:1896-1920, 2004.
Refereed Proceedings:
Adaptive smoothed aggregation in Lattice
QCD, J. Brannick, M.
Brezina, D. Keyes, O. Livne, I. Livshits, S.
MacLachlan, T. Manteuffel, S. McCormick, J. Ruge, and L. Zikatanov,
pages 505-512 in Domain Decomposition Methods in Science and
Engineering XVI, Lecture Notes in Computational Science and
Engineering, Springer, 2007.
PhD Thesis:
Improving robustness in multiscale
methods, S. MacLachlan, PhD Thesis, July 2004.
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