Raytcho D. Lazarov

Publication Activity (10 Years)

Years Active: 1987-2020
Publications (10 Years): 20

Top Topics

Error Estimates

Diffusion Equation

Top Venues

Comput. Methods Appl. Math.

SIAM J. Numer. Anal.

J. Comput. Phys.

J. Comput. Appl. Math.

Publications

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 (2020)
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) (2020)
Stanislav Harizanov, Raytcho D. Lazarov, Svetozar Margenov
A Survey on Numerical Methods for Spectral Space-Fractional Diffusion Problems. CoRR (2020)
Stanislav Harizanov, Raytcho D. Lazarov, Svetozar Margenov, Pencho Marinov
Numerical solution of fractional diffusion-reaction problems based on BURA. Comput. Math. Appl. 80 (2) (2020)
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 (2019)
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)
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) (2018)
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 (2018)
Bangti Jin, Raytcho D. Lazarov, Vidar Thomée, Zhi Zhou
On nonnegativity preservation in finite element methods for subdiffusion equations. Math. Comput. 86 (307) (2017)
Bangti Jin, Raytcho D. Lazarov, Petr N. Vabishchevich
Preface: Numerical Analysis of Fractional Differential Equations. Comput. Methods Appl. Math. 17 (4) (2017)
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 (2017)
Bangti Jin, Raytcho D. Lazarov, Zhi Zhou
A Petrov-Galerkin Finite Element Method for Fractional Convection-Diffusion Equations. SIAM J. Numer. Anal. 54 (1) (2016)
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 (2016)
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)
Shriram Srinivasan, Raytcho D. Lazarov, Peter D. Minev
Multiscale direction-splitting algorithms for parabolic equations with highly heterogeneous coefficients. Comput. Math. Appl. 72 (6) (2016)
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)
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 (2015)
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) (2015)
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) (2015)
Bangti Jin, Raytcho D. Lazarov, Joseph E. Pasciak, William Rundell
Variational formulation of problems involving fractional order differential operators. Math. Comput. 84 (296) (2015)
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) (2014)
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)
Yalchin Efendiev, Juan Galvis, Raytcho D. Lazarov, M. Moon, Marcus Sarkis
Generalized multiscale finite element method. Symmetric interior penalty coupling. J. Comput. Phys. 255 (2013)
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) (2013)
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) (2013)
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) (2012)
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)
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) (2012)
Yalchin Efendiev, Juan Galvis, Raytcho D. Lazarov, Joerg Willems
Robust Solvers for Symmetric Positive Definite Operators and Weighted Poincaré Inequalities. LSSC (2011)
Oleg P. Iliev, Raytcho D. Lazarov, Joerg Willems
Variational Multiscale Finite Element Method for Flows in Highly Porous Media. Multiscale Model. Simul. 9 (4) (2011)
Oleg Iliev, Raytcho D. Lazarov, Joerg Willems
Fast numerical upscaling of heat equation for fibrous materials. Comput. Vis. Sci. 13 (6) (2010)
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) (2010)
Oleg P. Iliev, Raytcho D. Lazarov, Joerg Willems
Discontinuous Galerkin Subgrid Finite Element Method for Heterogeneous Brinkman's Equations. LSSC (2009)
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) (2009)
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) (2009)
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) (2009)
Raytcho D. Lazarov, Shuai Lu, Sergei V. Pereverzev
On the balancing principle for some problems of Numerical Analysis. Numerische Mathematik 106 (4) (2007)
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) (2007)
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) (2006)
Craig C. Douglas, Yalchin Efendiev, Richard E. Ewing, Victor Ginting, Raytcho D. Lazarov
Dynamic Data Driven Simulations in Stochastic Environments. Computing 77 (4) (2006)
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) (2006)
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) (2006)
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)
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)
Raytcho D. Lazarov
Higher-order finite element methods. Math. Comput. 74 (250) (2005)
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) (2005)
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) (2005)
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) (2005)
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)
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)
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)
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) (2003)
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)
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) (2001)
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) (2001)
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) (2001)
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) (2000)
Raytcho D. Lazarov, Joseph E. Pasciak, Panayot S. Vassilevski
Mixed Finite Element Methods for Elliptic Problems on Non-Matching Grids. LSSC (1999)
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) (1997)
Panayot S. Vassilevski, Raytcho D. Lazarov
Preconditioning Mixed Finite Element Saddle-point Elliptic Problems. Numer. Linear Algebra Appl. 3 (1) (1996)
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) (1996)
Zhangxin Chen, Richard E. Ewing, Raytcho D. Lazarov
Domain decomposition algorithms for mixed methods for second-order elliptic problems. Math. Comput. 65 (214) (1996)
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) (1994)
Atanas I. Pehlivanov, Graham F. Carey, Raytcho D. Lazarov, Y. Shen
Convergence analysis of least-squares mixed finite elements. Computing 51 (2) (1993)
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) (1992)
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) (1990)
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)