Recent Selected Publications
Raytcho Lazarov

  1. P. Chatzipantelidis, R. Lazarov, and V. Tomee, Parabolic finite volume element equations in nonconvex polygonal domains, ISC Technical Reports, ISC-07-08-MATH, Institute for Scientific Computation, to appear in J. Numerical Methods for PDEs.

  2. B. Cockburn, J. Gopalakrishnan, and R. Lazarov, Unified hybridization of discontinuous Galerkin, mixed, and conforming methods for second-order elliptic problems sumitted to SINUM , (December 2007).

  3. R.D. Lazarov, S. Lu, and S.V. Pereverzev, On the balancing principle for some problems of numerical analysis, Numerische Mathematik , 23 (4) (2007), 659-689

  4. R.E. Ewing, O.P. Iliev, R.D. Lazarov, and A. Naumovich, On convergence of certain finite volume difference discretizations for 1-D poroelasticity interface problems, Numer. Methods for Partial Differential Equations, 23 (3) (2007), 652-671.

  5. R.D. Lazarov and S.D. Margenov, CBS constants for graph-Laplacians and application to multilevel methods for discontinuous Galerkin systems, Joural of Complexity , 23 (2007), 498--515.

  6. R.D. Lazarov and X. Ye, Stabilized discontinuous finite element approximations for Stokes equations, J. Comput. Appl. Math. 198 (1) (2007), 236-252.

  7. P. Chatzipantelidis, R.D. Lazarov, V. Thomee, and L. Wahlbin, Parabolic finite element equations in convex polygonal domains, BIT Numerical Mathematics. 43 (Suppl. 5) 2006, S113-S143

  8. V.A. Dobrev, R.D. Lazarov, P.S. Vassilevski, and L.T. Zikatanov, Two-level preconditioning of discontinuous Galerkin approximations of second order elliptic equations, Numer. Linear Alg. Appl., 13 (9) (2006), 753--770

  9. R.D. Lazarov and L.T. Zikatanov, An exponential fitting scheme for general convection-diffusion equations on tetrahedral meshes, Technical Report ISC-04-15-MATH , Texas A& M University, Comput. Appl. Math., (Obchysljuval'na ta prykladna matematyka, Kiev) 1(92) , (2005), 60-69.

  10. A.B. Andreev, R.D. Lazarov, and M.R. Racheva, Postprocessing and Higher Order Convergence of Mixed Finite Element Approximations of Biharmonic Eigenvalue Problems, J. Comput. Appl. Math., 182 (2) (2005), 333-349

  11. C. Carstensen, R.D. Lazarov, and S. Tomov, Explicit and averaging a posteriori error estimates for adaptive finite volume methods, SIAM J. Numer.Anal. 42 (6) (2005) 2496 -- 2521

  12. P. Chatzipantelidis, and R.D. Lazarov, Error estimates for finite volume element method for elliptic PDE's in nonconvex polygonal domains, SIAM J. Numer. Anal., 42 (5) (2005), 1932 -- 1958.

  13. P. Chatzipantelidis, R.D. Lazarov, and V. Thomee, Error estimates for the finite volume element method for parabolic equations in convex polygonal domains Numer. Meth. for PDEs, , 20 (5) (2004), 650 - 674.

  14. J.H. Bramble, R.D. Lazarov, and J.E. Pasciak, Least-squares methods for linear elasticity based on a discrete minus one inner product, Computer Meth. Appl. Mech. Engrg., 191 (8-10) (2001) 727--744

  15. R.D. Lazarov, J.E. Pasciak, and P.S. Vassilevski, Iterative solution of a coupled mixed and standard Galerkin discretization method for elliptic problems, Numer. Linear Algebra Appl., 8 (1) (2001), 13--31.

  16. R.D. Lazarov, J.E. Pasciak, and P.S. Vassilevski, Multiplier spaces for the mortar finite element method in three dimensions , SAM Numer. Anal. , 39 (2) (2001), 519--538.
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