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Tzanio V Kolev


Email: kolev1@llnl.gov
Phone: 925-423-9797
Fax: 925-422-6287

Mailing address:
Tzanio V Kolev
Lawrence Livermore National Laboratory
Box 808, L-560
Livermore, CA 94551-0808


Tzanio Kolev is a computational mathematician at the Center for Applied Scientific Computing. He joined Lawrence Livermore National Laboratory in 2004 after earning a Ph.D. in Mathematics from Texas A&M University. His dissertation was on least-squares methods for electromagnetic problems.

As a member of the
Scalable Linear Solvers project, Tzanio works on the development and implementation of scalable algebraic preconditioners for large systems of linear equations. His main focus is on problems that arise in the finite element approximation of a variety of complicated PDEs, including computational electromagnetics and 3D elasticity.

Tzanio is also interested in advanced finite element discretization techniques for the equations of compressible Lagrangian hydrodynamics.

Publications

Tz. Kolev and P. Vassilevski, Parallel Auxiliary Space AMG for H(curl) Problems, special issue on “Adaptive and Multilevel Methods in Electromagnetics”, Journal of Computational Mathematics, (27) 2009, pp. 604-623.

A. Baker, E. Jessup, and Tz. Kolev, A simple strategy for varying the restart parameter in GMRES(m), Journal of Computational and Applied Mathematics, (230) 2009, pp. 751-761. UCRL-JRNL-235266

Tz. Kolev and P. Vassilevski, Auxiliary Space AMG for H(curl) Problems, Proceedings of the 17th International  Conference on Domain Decomposition Methods, Lecture Notes in Computational Science and Engineering, Springer, 2008, pp.147-154.

Tz. Kolev, J. Pasciak, and P. Vassilevski, H(curl) Auxiliary Mesh PreconditioningNumer. Linear Algebra Appl., (15) 2008, pp. 455-471.

Tz. Kolev and P. Vassilevski, AMG by element agglomeration and constrained energy minimization interpolation, Numer. Linear Algebra Appl., (13) 2006, pp. 771-788.

J. Bramble, Tz. Kolev and J. Pasciak, A least-squares method for the time-harmonic Maxwell equations, Journal of Numerical Mathematics, (13) 2005, pp. 237-263.

J. Bramble, Tz. Kolev and J. Pasciak, The approximation of the Maxwell eigenvalue problem using a least-squares method, Math. Comp., (74) 2005, pp. 1575-1598.

Tz. Kolev and S. Margenov, AMLI preconditioning of pure displacement non-conforming elasticity FEM systems, Proceedings of the Second Conference on Numerical Analysis and Applications, Lecture Notes in Computer Science, Springer, 2001, pp. 482-489.

Tz. Kolev and S. Margenov, Two-level preconditioning of pure displacement non-conforming FEM systems, Numer. Linear Algebra Appl., (6) 1999, pp. 535-555.


Other Documents

Report of The Panel on Recent Significant Advancements in Computational Science, 2008.

Linear solutions at hypre speed, 2007.

Tz. Kolev and P. Vassilevski, Parallel eigensolver for H(curl) problems using H1-auxiliary space AMG preconditioning, LLNL Technical Report 226197, 2006.

Tz. Kolev and P. Vassilevski, Parallel H1-based auxiliary space AMG solver for H(curl) problems, LLNL Technical Report 222763, 2006.

Tz. Kolev and P. Vassilevski, Some experience with a H1-based auxiliary space AMG for H(curl) problems, LLNL Technical Report 221841, 2006.

Tz. Kolev, Least-Squares Methods for Computational Electromagnetics, Dissertation, Texas A&M University, 2004.

 




Updated: 2009-06-23 08:40:10

 
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