Journal Publications and Conference Proceedings

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.