Recent Selected Publications
Raytcho Lazarov

  1. P. Chatzipantelidis, R. Lazarov, and V. Thomee, Some error estimates for the lumped mass finite element method for a parabolic problem, Mathematics of Computation, 81 (277), (2012), 1-20 (also available as Technical Report ISC-10-03-MATH , (2010), Texas A& M University).

  2. O.P. Iliev, R.D. Lazarov, and J. Willems, Variational Multiscale Finite Element Method for Flows in Highly Porous Media, SIAM Multiscale Model. Simul., 9 (4) , (2011) 1350-1372

  3. C.C. Douglas, Y. Efendiev, R.E. Ewing, V. Ginting, R.D. Lazarov, M.J. Cole, G. Jones, Least-squares approach for data recovery in dynamic data-driven applications simulations, J. Computing and Visualization in Science 13 (10) (2010), 365 -- 375

  4. O.P. Iliev, R.D. Lazarov, and J. Willems, Fast Numerical Upscaling of Heat Equation for Fibrous Materials, J. Computing and Visualization in Science, 13 (6), (2010), 275 -- 285 (an older version is avalable as Technical Report ISC-10-02-MATH , (2010), Texas A& M University).

  5. O.P. Iliev, R.D. Lazarov, and J. Willems, Discontinuous Galerkin Subgrid Finite Element Method for Approximation of Heterogeneous Brinkman's Equations, Lecture Notes in Computer Science, vol. 5910, I. Lirkov, S. Margenov, and J. Wasniewski (Eds.), pp. 14--25, Springer, Heidelberg, (2010)

  6. R.E. Ewing, O.P. Iliev, R.D. Lazarov, I. Rybak, and J. Willems, A simplified method for upscaling composite materials with high contrast of the conductivity, SIAM J. Scientific Computing, 31 (4) (2009), 2568--2586.

  7. R.K. Sinha, R.E. Ewing, and R.D. Lazarov, Mixed Finite Element Approximations of Parabolic Integro-Differential Equations with Nonsmooth Initial Data, SIAM J. Numer. Anal.47 (5) (2009), 3269 -- 3292.

  8. P. Chatzipantelidis, R. Lazarov, and V. Thomee, Parabolic finite volume element equations in nonconvex polygonal domains, Numer. Methods for Partial Differential Equations, 25 (3) (2009), 520--537.

  9. B. Cockburn, J. Gopalakrishnan, and R. Lazarov, Unified hybridization of discontinuous Galerkin, mixed, and conforming methods for second-order elliptic problems, SINUM , 47 (2) (2009), 1319--1365.

  10. R. Lazarov, S. Repin, and S. Tomar, Functional a posteriori error estimates for discontinuous Galerkin approximations of elliptic problems, J. Numerical Methods for PDEs, 25 (4) (2009), 952--971.

  11. V.A. Dobrev, R.D. Lazarov, and L.T. Zikatanov, Preconditioning of symmetric interior penalty discontinuous Galerkin FEM for second order elliptic problems, In Domain Decomposition Methods Science and Enginering XVII, Lecture Notes in Computational Science and Engineering, vol. 60, U. Langer et al. eds, Springer-Verlag, Berlin, Heidelberg, pp. 33--44 (2008).

  12. 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

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

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

  15. 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

  16. 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

  17. 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.

  18. 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

  19. P. Chatzipantelidis, V. Ginting, and R.D. Lazarov, A finite volume element method for nonlinear elliptic problems, Numer. Linear Algebra Appl., 12 (5-6) (2005) 515-546

  20. 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

  21. 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.

  22. 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.

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