Current Ph.D. Students

Prince Chidyagwai (prc8@pitt.edu)

Yekaterina Epshteyn (yee1@pitt.edu)
Ph.D. thesis area: Multiphase flow: theory and implementation

[1]Y.Epshteyn, V.S.Ryaben'kii and V.Turchaninov
The numerical example of algorithms composition for solution of the boundary-value problems on compound domain based on difference potential method,
No.3, Moscow, Keldysh Institute for Applied Mathematics, Russia Academy of Sciences,2003.

[2] A.Dunca and Y.Epshteyn
On the Stolz-Adams deconvolution models for LES
to appear in SIAM J. Mathematical Analysis, 2003.

[3] Y. Epshteyn and B. Riviere
On the solution of incompressible two-phase flow by a p-version discontinuous Galerkin method
Communications in Numerical Methods in Engineering, to appear, 2005.

[4] Y. Epshteyn, V.S. Ryaben'kii and V. Turchaninov
Scheme of algorithms composition based on difference potential method
to appear in the Journal of Computational Mathematics and Mathematical Physics, Russia Academy of Sciences, 2006.

[5] Y. Epshteyn and B. Riviere
Fully implicit discontinuous finite element methods for two-phase flow
to appear in Applied Numerical Mathematics, 2006.

[6] Y. Epshteyn and B. Riviere
Estimation of penalty parameters for symmetric interior penalty Galerkin methods
to appear in Journal of Computational and Applied Mathematics, 2006.

[7] Y. Epshteyn, T. Khan and B. Riviere
Inverse problem in optical tomography using discontinuous Galerkin method
submitted, 2005.

Ben Ganis, 

Gary Hart,  gdhart@pitt.edu
Ph.D. Thesis Areas: Optimization, DAEs and Applications.
[1] M. Anitescu, and G. Hart.
Solving nonconvex problems of multibody dynamics with contact and small friction by sequential convex relaxation.
To appear in: Mechanics of Machines and Structures.2003.

[2] M. Anitescu and G.Hart,
 A constraint-stabilized time-stepping approach for rigid multibody dynamics with joints, contact and friction.
 Preprint ANL/MCS-1002-1002. Submitted to International Journal for Numerical Methods in Engineering.

[3] M. Anitescu and G. Hart.
A Fixed-Point Iteration Approach for Multibody Dynamics with Contact and Small Friction.
Preprint ANL/MCS-P985-0802. To appear in Mathematical Programming Series B.,2003.

[4] M. Anitescu, A. Miller and G. Hart.
Constraint stabilization for time-stepping approaches for rigid multibody dynamics with joints, contact and friction.
Preprint  ANL/MCS-P1023-0203. To appear in the Proceedings of the Annual Conference of the  American Society of Mechanical Engineers, 2003.

[5]   G. Hart and Mihai Anitescu.
A hard constraint time-stepping approach for multibody dynamics with contact and friction.
To appear in the Proceedings of the Tapia Conference for Diversity in Computing, 2003.

Alexandr Labovsky

Qi Mi
Ph.D. thesis area: Computational Mathematical Biology

[1] N. Li, K. Verdolini, G. Clermont, Q. Mi, P. Hebda, Y. Vodovotz.
An agent-based model of acute vocal fold wound healing
Journal of Speech, Language and Hearing Research, submitted, 2005.

[2] Q. Mi, B. Riviere, G. Clermont, D.L. Steed, Y. Vodovotz.
Agent-based modeling of inflammation and wound healing: insights into diabetic foot ulcer pathology and the role of transforming growth factor-beta 1,
Wound Repair and Regeneration, submitted, 2006.

Monika Neda (mon5@pitt.edu)
Ph.D. thesis area: Applied Computational Fluid Dynamics.

[1] M. Neda and W. Layton
Truncation of Scales by Time Relaxation
Journal of Mathematical Analysis and Applications, Submitted.

Iuliana Stanciulescu,

Joshua Sullivan

Mark Tronzo

Danail Vassilev