A Scalable FETI-DP Algorithm for Coercive Variational Inequalities
(with Z. Dostal and D. Horak),
submitted to Applied Numerical Mathematics,
2003.
Choosing Nonmortars: Does it Influence the Performance of FETI-DP Algorithms?,
submitted to the Proceedings of the
15th International Conference on Domain Decomposition,
2003.
Parallel FETI Algorithms for Mortars,
submitted to Applied Numerical Mathematics,
2003.
Lower Bounds for Additive Schwarz Methods for Mortar Finite Elements,
submitted to Comptes Rendus de l'Academie de Paris,
2003.
Internal
Hydraulic Jumps and Mixing in Two-layer Flows (with D. Holland, R.
Rosales, and E. Tabak),
Journal of Fluid Mechanics,
470, 63-83, 2002.
FETI
and FETI-DP Methods for Spectral and Mortar Spectral Elements: A Performance
Comparison,
Journal of Scientific Computing, 17 (1-4), 629-637, 2002.
Minimizer
Graphs for a Class of Extremal Problems (with D. Ismailescu),
Journal of Graph Theory, 39 (4), 230-240, 2002.
A Numerical
Study of FETI Algorithms for Mortar Finite Element Methods,
SIAM Journal of Scientific Computing,
23 (4), 1135-1160,
2001.
On the
L^2 Stability of the 1-D Mortar Projection,
International Journal of Applied Mathematics, 7 (4),
369-382, 2001.
FETI Algorithms
for 3D Mortar Finite Elements,
Gakuto International Series Mathematical Sciences and Applications,
Volume 15, 290-301, 2001. Editors P. Neittaanmaki and M. Krizek. Publisher:
Gakkotosho, Tokyo, Japan.
Proceedings of the Conference on Finite Element Methods for Three-dimensional
Problems, University of Jyvaskyla, Finland, 2000.
The FETI
Method for Mortar Finite Elements (with A. Klawonn),
DDM.org, 120-127, 1999. Proceedings of the 11th International
Conference on Domain Decomposition, Greenwich, Great Britain, 1999.
Technical Reports
Poincare and Friedrichs Inequalities for Mortar Finite Element Methods, Technical Report 774, Department of Computer Science, Courant Institute, 1999.
Domain Decomposition Methods for Mortar Finite Elements, Technical
Report 804, Department of Computer Science, Courant Institute,
Ph.D. Thesis, 2000.
Preprints
Lower Bounds for Overlapping and Nonoverlapping Domain Decomposition Preconditioners for Mortar Element Methods, 2003, in preparation.
A Balancing Algorithm for Mortar Finite Elements, 2003, in preparation.
On Fitting Zero Curves and Forward Rate Curves with Maximum Smoothness, 2000, preprint.
Convergence Analysis of the FETI Method for Mortar Finite Elements, 2003, in preparation.
The FETI and FETI-DP methods for Spectral Elements, 2003, in preparation.
A Method for Finding Extremum Points and Its Applications, 2001, preprint.