In preparation:
Practical aspects of theoretical bounds for algebraic multigrid performance,
S. MacLachlan and L. Olson, 2010.
General strategies for modification of threshold-based incomplete factorizations,
S. MacLachlan and Y. Saad, 2010.
Journal Articles:
Local post-processing for locally conservative fluxes in
the Galerkin method for groundwater flows,
E.T. Coon, S.P. MacLachlan, and J.D. Moulton, Water Resources
Research, submitted, 2009.
Adaptive reduction-based
multigrid for nearly singular and highly disordered physical systems, J. Brannick, A. Frommer, K. Kahl,
S. MacLachlan, and L. Zikatanov, Electronic Transactions on
Numerical Analysis, submitted, 2009.
A local Fourier analysis
framework for finite-element discretizations of systems of PDEs, S.P. MacLachlan and C.W. Oosterlee, SIAM
Journal on Numerical Analysis, submitted, 2009.
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.,
to appear, 2010.
An angular multigrid method for monoenergetic
particle beams in Flatland, C. Börgers and
S. MacLachlan, J. Comp. Phys., to appear, 2010.
On iterative methods for the incompressible Stokes problem,
M. ur Rehman, T. Geenen, C. Vuik, G. Segal, and
S.P. MacLachlan, International Journal for Numerical Methods in
Fluids, to appear, 2010.
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, to appear, 2010.
Scalable robust solvers for unstructured FE modeling applications;
solving the Stokes equation for models with large, localized
viscosity contrasts, T. Geenen, M. ur Rehman, S.P. MacLachlan,
G. Segal, C. Vuik, A.P. van den Berg, and
W. Spakman, Geochemistry, Geophysics, Geosystems, 10(9), 2009.
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, 16:603-626, 2009.
Fast and robust solvers for pressure
correction in bubbly flow problems, S.P. MacLachlan, J.M. Tang,
and C. Vuik, J. Comp. Phys.,
227:9742-9761, 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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