List of recent publication of Raytcho Lazarov
- B. Cockburn, J. Gopalakrishnan, and R. Lazarov,
Unified hybridization of discontinuous Galerkin, mixed, and conforming methods
for second-order elliptic problems,
SIAM J. Numer. Anal., 47 (2), (2009), 1319--1365.
(DOI: 10.1137/070706616)
- P. Chatzipantelidis, R. Lazarov, and V. Tomee,
Parabolic finite volume element equations in nonconvex polygonal domains,
Numer. Methods for Partial Diff. Equations, 25 (3) (2009), 507--525.
(DOI: 10.1002/num.20351)
- 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, accepted in SIAM J. Scientific Computing, March 2009
-
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).
-
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 (4-6) (2007), 498--515
-
R.D. Lazarov, S. Lu, and S.V. Pereverzev,
On the balancing principle for some problems of numerical analysis,
Numerische Mathematik , 106 (4) (2007), 659-689
-
O. Iliev, R. Lazarov, J. Willems,
Numerical study of two-grid preconditioners for 1-D elliptic
problems with highly oscillating discontinuous coefficients,
Computational Methods in Applied Mathematics, 7 (1) (2007), 48-67
-
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
-
R.D. Lazarov and X. Ye,
Stabilized discontinuous finite element approximations for Stokes equations,
J. Comput. Appl. Math., 198 (1) (2007), 236-252
-
P. Chatzipantelidis, R.D. Lazarov, V. Thomee, and L. Wahlbin,
Parabolic finite element equations in convex polygonal domains,
BIT Numerical Mathematics. 43 (Suppl. 1) 2006, S113-S143
-
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 Algebra Appl.,
13 (9) (2006), 753--770
-
C.C. Douglas, C. Harris, J., Iskandarani, M., Johnson, C.R., Lodder, R.J.,
Parker, S.G., Cole, M.J., Ewing, R., Efendiev, Y., Lazarov, R., Qin, G.,
Dynamic contaminant identification in water,
ICCS 2006: Proc. 6-th International Conference, Part III,
Lecture Notes in Computer Science, 3993, (2006), 393-400
-
A. Andreev, R. Lazarov, M. Racheva,
Postprocessing and Improved Accuracy of the Lowest-Order Mixed Finite
Element Approximation for Biharmonic Eigenproblems,
Lecture Notes in Computer Science, 3743 , (2006) 613-620
-
R. Sinha, R.E. Ewing, and R.D. Lazarov,
Some new error estimates of a semidiscrete finite volume element method for
parabolic integro-differential equation with nonsmooth initial data,
SIAM J. Numer.Anal., 43 (6) (2006), 2320-2344.
-
C. Douglas, Y. Efendiev, R. Ewing, V. Ginting, and R. Lazarov,
Dynamic data driven simulations in stochastic environments,
Computing, 77 (4) (2006), 321-332
-
P. Chatzipantelidis, V. Ginting, and R.D. Lazarov,
A finite volume element method for nonlinear elliptic problems,
Numer. Linear Algebra Appl., 12 (2005), 515-546
(also
Technical Report ISC-04-06-MATH , (2004), Texas A& M University)
-
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 (also
Technical Report ISC-03-04-MATH , (2003), Texas A& M University).
-
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