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2020 – today
- 2020
[j53]Stanislav Harizanov
, Raytcho D. Lazarov, Svetozar Margenov, Pencho Marinov:
Numerical solution of fractional diffusion-reaction problems based on BURA. Comput. Math. Appl. 80(2): 316-331 (2020)- [j52]Raytcho D. Lazarov, Piotr P. Matus, Petr N. Vabishchevich:
Modern Problems of Numerical Analysis. On the Centenary of the Birth of Alexander Andreevich Samarskii. Comput. Methods Appl. Math. 20(4): 591-594 (2020) - [j51]Stanislav Harizanov, Raytcho D. Lazarov, Svetozar Margenov, Pencho Marinov, Joseph E. Pasciak:
Analysis of numerical methods for spectral fractional elliptic equations based on the best uniform rational approximation. J. Comput. Phys. 408: 109285 (2020) - [i2]Stanislav Harizanov, Raytcho D. Lazarov, Svetozar Margenov:
A Survey on Numerical Methods for Spectral Space-Fractional Diffusion Problems. CoRR abs/2010.02717 (2020)
2010 – 2019
- 2019
- [i1]Stanislav Harizanov, Raytcho D. Lazarov, Svetozar Margenov, Pencho Marinov:
The Best Uniform Rational Approximation: Applications to Solving Equations Involving Fractional powers of Elliptic Operators. CoRR abs/1910.13865 (2019) - 2018
- [j50]Beiping Duan, Bangti Jin, Raytcho D. Lazarov, Joseph E. Pasciak, Zhi Zhou:
Space-Time Petrov-Galerkin FEM for Fractional Diffusion Problems. Comput. Methods Appl. Math. 18(1): 1-20 (2018) - [j49]Raytcho D. Lazarov, Aziz Takhirov:
A note on the uniform inf-sup condition for the Brinkman problem in highly heterogeneous media. J. Comput. Appl. Math. 340: 537-545 (2018) - [j48]Stanislav Harizanov, Raytcho D. Lazarov, Svetozar Margenov, Pencho Marinov, Yavor Vutov:
Optimal solvers for linear systems with fractional powers of sparse SPD matrices. Numer. Linear Algebra Appl. 25(5) (2018) - 2017
- [j47]Bangti Jin, Raytcho D. Lazarov, Petr N. Vabishchevich:
Preface: Numerical Analysis of Fractional Differential Equations. Comput. Methods Appl. Math. 17(4): 643-646 (2017) - [j46]Guido Kanschat, Raytcho D. Lazarov, Youli Mao:
Geometric Multigrid for Darcy and Brinkman models of flows in highly heterogeneous porous media: A numerical study. J. Comput. Appl. Math. 310: 174-185 (2017) - [j45]Bangti Jin, Raytcho D. Lazarov, Vidar Thomée, Zhi Zhou:
On nonnegativity preservation in finite element methods for subdiffusion equations. Math. Comput. 86(307): 2239-2260 (2017) - 2016
- [j44]Shriram Srinivasan, Raytcho D. Lazarov, Peter D. Minev:
Multiscale direction-splitting algorithms for parabolic equations with highly heterogeneous coefficients. Comput. Math. Appl. 72(6): 1641-1654 (2016) - [j43]Bangti Jin, Raytcho D. Lazarov, Xiliang Lu, Zhi Zhou:
A simple finite element method for boundary value problems with a Riemann-Liouville derivative. J. Comput. Appl. Math. 293: 94-111 (2016) - [j42]Bangti Jin, Raytcho D. Lazarov, Zhi Zhou:
A Petrov-Galerkin Finite Element Method for Fractional Convection-Diffusion Equations. SIAM J. Numer. Anal. 54(1): 481-503 (2016) - [j41]Bangti Jin, Raytcho D. Lazarov, Zhi Zhou:
Two Fully Discrete Schemes for Fractional Diffusion and Diffusion-Wave Equations with Nonsmooth Data. SIAM J. Sci. Comput. 38(1) (2016) - [j40]Johannes K. Kraus, Raytcho D. Lazarov, Maria Lymbery, Svetozar Margenov, Ludmil T. Zikatanov:
Preconditioning Heterogeneous H(div) Problems by Additive Schur Complement Approximation and Applications. SIAM J. Sci. Comput. 38(2) (2016) - 2015
- [j39]Bangti Jin, Raytcho D. Lazarov, Yikan Liu, Zhi Zhou:
The Galerkin finite element method for a multi-term time-fractional diffusion equation. J. Comput. Phys. 281: 825-843 (2015) - [j38]Bangti Jin, Raytcho D. Lazarov, Joseph E. Pasciak, William Rundell:
Variational formulation of problems involving fractional order differential operators. Math. Comput. 84(296): 2665-2700 (2015) - [j37]Emilia G. Bazhlekova, Bangti Jin, Raytcho D. Lazarov, Zhi Zhou:
An analysis of the Rayleigh-Stokes problem for a generalized second-grade fluid. Numerische Mathematik 131(1): 1-31 (2015) - [j36]Yalchin Efendiev, Raytcho D. Lazarov, Ke Shi:
A Multiscale HDG Method for Second Order Elliptic Equations. Part I. Polynomial and Homogenization-Based Multiscale Spaces. SIAM J. Numer. Anal. 53(1): 342-369 (2015) - 2014
- [j35]Bangti Jin, Raytcho D. Lazarov, Joseph E. Pasciak, Zhi Zhou:
Error Analysis of a Finite Element Method for the Space-Fractional Parabolic Equation. SIAM J. Numer. Anal. 52(5): 2272-2294 (2014) - 2013
- [j34]Panagiotis Chatzipantelidis, Raytcho D. Lazarov, Vidar Thomée:
Some Error Estimates for the Finite Volume Element Method for a Parabolic Problem. Comput. Methods Appl. Math. 13(3): 251-279 (2013) - [j33]Yalchin Efendiev, Juan Galvis, Raytcho D. Lazarov, M. Moon, Marcus Sarkis:
Generalized multiscale finite element method. Symmetric interior penalty coupling. J. Comput. Phys. 255: 1-15 (2013) - [j32]Bangti Jin, Raytcho D. Lazarov, Zhi Zhou:
Error Estimates for a Semidiscrete Finite Element Method for Fractional Order Parabolic Equations. SIAM J. Numer. Anal. 51(1): 445-466 (2013) - [c12]Yalchin Efendiev, Juan Galvis, Raytcho D. Lazarov, Steffen Weißer:
Mixed FEM for Second Order Elliptic Problems on Polygonal Meshes with BEM-Based Spaces. LSSC 2013: 331-338 - [p1]Yalchin Efendiev, Juan Galvis, Raytcho D. Lazarov, Svetozar Margenov, Jun Ren:
Multiscale Domain Decomposition Preconditioners for Anisotropic High-Contrast Problems. Domain Decomposition Methods in Science and Engineering XX 2013: 289-296 - 2012
- [j31]Yalchin Efendiev, Juan Galvis, Raytcho D. Lazarov, Svetozar Margenov, Jun Ren:
Robust Two-level Domain Decomposition Preconditioners for High-contrast Anisotropic Flows in Multiscale Media. Comput. Methods Appl. Math. 12(4): 415-436 (2012) - [j30]Panagiotis Chatzipantelidis, Raytcho D. Lazarov, Vidar Thomée:
Some error estimates for the lumped mass finite element method for a parabolic problem. Math. Comput. 81(277): 1-20 (2012) - [c11]Bangti Jin, Raytcho D. Lazarov, Joseph E. Pasciak, Zhi Zhou:
Galerkin FEM for Fractional Order Parabolic Equations with Initial Data in H - s , 0 ≤ s ≤ 1. NAA 2012: 24-37 - 2011
- [j29]Oleg P. Iliev, Raytcho D. Lazarov, Joerg Willems:
Variational Multiscale Finite Element Method for Flows in Highly Porous Media. Multiscale Model. Simul. 9(4): 1350-1372 (2011) - [c10]Yalchin Efendiev, Juan Galvis, Raytcho D. Lazarov, Joerg Willems:
Robust Solvers for Symmetric Positive Definite Operators and Weighted Poincaré Inequalities. LSSC 2011: 43-51 - 2010
- [j28]Oleg Iliev, Raytcho D. Lazarov, Joerg Willems:
Fast numerical upscaling of heat equation for fibrous materials. Comput. Vis. Sci. 13(6): 275-285 (2010) - [j27]Craig C. Douglas, Yalchin Efendiev, Richard E. Ewing, Victor Ginting, Raytcho D. Lazarov, Martin J. Cole, Greg Jones:
Least squares approach for initial data recovery in dynamic data-driven applications simulations. Comput. Vis. Sci. 13(8): 365-375 (2010)
2000 – 2009
- 2009
- [j26]Bernardo Cockburn, Jayadeep Gopalakrishnan, Raytcho D. Lazarov:
Unified Hybridization of Discontinuous Galerkin, Mixed, and Continuous Galerkin Methods for Second Order Elliptic Problems. SIAM J. Numer. Anal. 47(2): 1319-1365 (2009) - [j25]Rajen Kumar Sinha, Richard E. Ewing, Raytcho D. Lazarov:
Mixed Finite Element Approximations of Parabolic Integro-Differential Equations with Nonsmooth Initial Data. SIAM J. Numer. Anal. 47(5): 3269-3292 (2009) - [j24]Richard E. Ewing, Oleg Iliev, Raytcho D. Lazarov, Irina Rybak, Joerg Willems:
A Simplified Method for Upscaling Composite Materials with High Contrast of the Conductivity. SIAM J. Sci. Comput. 31(4): 2568-2586 (2009) - [c9]Oleg P. Iliev, Raytcho D. Lazarov, Joerg Willems:
Discontinuous Galerkin Subgrid Finite Element Method for Heterogeneous Brinkman's Equations. LSSC 2009: 14-25 - 2007
- [j23]Raytcho D. Lazarov, Svetozar Margenov:
CBS constants for multilevel splitting of graph-Laplacian and application to preconditioning of discontinuous Galerkin systems. J. Complex. 23(4-6): 498-515 (2007) - [j22]Raytcho D. Lazarov, Shuai Lu, Sergei V. Pereverzev:
On the balancing principle for some problems of Numerical Analysis. Numerische Mathematik 106(4): 659-689 (2007) - 2006
- [j21]Craig C. Douglas, Yalchin Efendiev, Richard E. Ewing, Victor Ginting, Raytcho D. Lazarov:
Dynamic Data Driven Simulations in Stochastic Environments. Computing 77(4): 321-333 (2006) - [j20]Raytcho D. Lazarov, Joseph E. Pasciak, Guan Qin:
On the occasion of the sixtieth birthday of Richard E. Ewing. Numer. Linear Algebra Appl. 13(9): 675-676 (2006) - [j19]Veselin Dobrev, Raytcho D. Lazarov, Panayot S. Vassilevski, Ludmil T. Zikatanov:
Two-level preconditioning of discontinuous Galerkin approximations of second-order elliptic equations. Numer. Linear Algebra Appl. 13(9): 753-770 (2006) - [j18]Rajen Kumar Sinha, Richard E. Ewing, Raytcho D. Lazarov:
Some new error estimates of a semidiscrete finite volume element method for a parabolic integro-differential equation with nonsmooth initial data. SIAM J. Numer. Anal. 43(6): 2320-2343 (2006) - [c8]Craig C. Douglas, J. Clay Harris, Mohamed Iskandarani, Chris R. Johnson, Robert A. Lodder, Steven G. Parker, Martin J. Cole, Richard E. Ewing, Yalchin Efendiev, Raytcho D. Lazarov, Guan Qin:
Dynamic Contaminant Identification in Water. International Conference on Computational Science (3) 2006: 393-400 - 2005
- [j17]Raytcho D. Lazarov:
Higher-order finite element methods. Math. Comput. 74(250) (2005) - [j16]Panagiotis Chatzipantelidis, Victor Ginting, Raytcho D. Lazarov:
A finite volume element method for a non-linear elliptic problem. Numer. Linear Algebra Appl. 12(5-6): 515-546 (2005) - [j15]Panagiotis Chatzipantelidis, Raytcho D. Lazarov:
Error Estimates for a Finite Volume Element Method for Elliptic PDEs in Nonconvex Polygonal Domains. SIAM J. Numer. Anal. 42(5): 1932-1958 (2005) - [j14]Carsten Carstensen, Raytcho D. Lazarov, Stanimire Tomov:
Explicit and Averaging A Posteriori Error Estimates for Adaptive Finite Volume Methods. SIAM J. Numer. Anal. 42(6): 2496-2521 (2005) - [c7]Craig C. Douglas, Yalchin Efendiev, Richard E. Ewing, Victor Ginting, Raytcho D. Lazarov, Martin J. Cole, Greg Jones, Chris R. Johnson:
Multiscale Interpolation, Backward in Time Error Analysis for Data-Driven Contaminant Simulation. International Conference on Computational Science (2) 2005: 640-647 - [c6]Andrey B. Andreev, Raytcho D. Lazarov, Milena R. Racheva:
Postprocessing and Improved Accuracy of the Lowest-Order Mixed Finite Element Approximation for Biharmonic Eigenvalues. LSSC 2005: 613-620 - 2004
- [c5]Craig C. Douglas, Chad E. Shannon, Yalchin Efendiev, Richard E. Ewing, Victor Ginting, Raytcho D. Lazarov, Martin J. Cole, Greg Jones, Chris R. Johnson, Jennifer Simpson:
A Note on Data-Driven Contaminant Simulation. International Conference on Computational Science 2004: 701-708 - 2003
- [j13]Raytcho D. Lazarov, Joseph E. Pasciak, Joachim Schöberl, Panayot S. Vassilevski:
Almost optimal interior penalty discontinuous approximations of symmetric elliptic problems on non-matching grids. Numerische Mathematik 96(2): 295-315 (2003) - [c4]Craig C. Douglas, Yalchin Efendiev, Richard E. Ewing, Raytcho D. Lazarov, Martin J. Cole, Greg Jones, Chris R. Johnson:
Virtual Telemetry for Dynamic Data-Driven Application Simulations. International Conference on Computational Science 2003: 279-288 - 2002
- [c3]Raytcho D. Lazarov, Svetozar Margenov:
On a Two-Level Parallel MIC(0) Preconditioning of Crouzeix-Raviart Non-conforming FEM Systems. Numerical Methods and Application 2002: 192-204 - 2001
- [j12]Raytcho D. Lazarov, Joseph E. Pasciak, Panayot S. Vassilevski:
Iterative solution of a coupled mixed and standard Galerkin discretization method for elliptic problems. Numer. Linear Algebra Appl. 8(1): 13-31 (2001) - [j11]Chisup Kim, Raytcho D. Lazarov, Joseph E. Pasciak, Panayot S. Vassilevski:
Multiplier Spaces for the Mortar Finite Element Method in Three Dimensions. SIAM J. Numer. Anal. 39(2): 519-538 (2001) - [j10]Richard E. Ewing, Oleg P. Iliev, Raytcho D. Lazarov:
A Modified Finite Volume Approximation of Second-Order Elliptic Equations with Discontinuous Coefficients. SIAM J. Sci. Comput. 23(4): 1335-1351 (2001) - 2000
- [j9]Richard E. Ewing, Raytcho D. Lazarov, Yanping Lin:
Finite Volume Element Approximations of Nonlocal in Time One-Dimensional Flows in Porous Media. Computing 64(2): 157-182 (2000)
1990 – 1999
- 1999
- [c2]Raytcho D. Lazarov, Joseph E. Pasciak, Panayot S. Vassilevski:
Mixed Finite Element Methods for Elliptic Problems on Non-Matching Grids. LSSC 1999: 25-35 - 1997
- [j8]James H. Bramble, Raytcho D. Lazarov, Joseph E. Pasciak:
A least-squares approach based on a discrete minus one inner product for first order systems. Math. Comput. 66(219): 935-955 (1997) - 1996
- [j7]Zhangxin Chen, Richard E. Ewing, Raytcho D. Lazarov:
Domain decomposition algorithms for mixed methods for second-order elliptic problems. Math. Comput. 65(214): 467-490 (1996) - [j6]Panayot S. Vassilevski, Raytcho D. Lazarov:
Preconditioning Mixed Finite Element Saddle-point Elliptic Problems. Numer. Linear Algebra Appl. 3(1): 1-20 (1996) - [j5]Zhangxin Chen, Richard E. Ewing, Raytcho D. Lazarov, Serguei Maliassov, Yuri A. Kuznetsov:
Multilevel Preconditioners for Mixed Methods for Second Order Elliptic Problems. Numer. Linear Algebra Appl. 3(5): 427-453 (1996) - 1994
- [j4]Richard E. Ewing, Raytcho D. Lazarov, Panayot S. Vassilevski:
Local refinement techniques for elliptic problems on cell-centered grids; II. Optimal order two-grid iterative methods. Numer. Linear Algebra Appl. 1(4): 337-368 (1994) - 1993
- [j3]Atanas I. Pehlivanov, Graham F. Carey, Raytcho D. Lazarov, Y. Shen:
Convergence analysis of least-squares mixed finite elements. Computing 51(2): 111-123 (1993) - 1992
- [j2]Panayot S. Vassilevski, Svetozara I. Petrova, Raytcho D. Lazarov:
Finite Difference Schemes on Triangular Cell-Centered Grids with Local Refinement. SIAM J. Sci. Comput. 13(6): 1287-1313 (1992) - 1990
- [j1]Richard E. Ewing, Raytcho D. Lazarov, Panayot S. Vassilevski:
Finite difference schemes on grids with local refinement in time and space for parabolic problems I. Derivation, stability, and error analysis. Computing 45(3): 193-215 (1990)
1980 – 1989
- 1987
- [c1]Raytcho D. Lazarov, Panayot S. Vassilevski, Svetozar Margenov:
Solving Elliptic Problems by the Domain Decomposition Method Using Proconditioning Matrices Derived by Multilevel Splitting of the Finite Element Matrix. ICS 1987: 826-835
Coauthor Index
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