Raytcho D. Lazarov

68 papers A 1Misc 4Journal 55Unranked 7
YearRankTypeTitle / Venue / Authors
2020 J jnl
A Survey on Numerical Methods for Spectral Space-Fractional Diffusion Problems.
CoRR
Stanislav Harizanov, Raytcho D. Lazarov, Svetozar Margenov
2020 J jnl
Analysis of numerical methods for spectral fractional elliptic equations based on the best uniform rational approximation.
J. Comput. Phys.
Stanislav Harizanov, Raytcho D. Lazarov, Svetozar Margenov, Pencho Marinov, Joseph E. Pasciak
2020 J jnl
Modern Problems of Numerical Analysis. On the Centenary of the Birth of Alexander Andreevich Samarskii.
Comput. Methods Appl. Math.
Raytcho D. Lazarov, Piotr P. Matus, Petr N. Vabishchevich
2020 J jnl
Numerical solution of fractional diffusion-reaction problems based on BURA.
Comput. Math. Appl.
Stanislav Harizanov, Raytcho D. Lazarov, Svetozar Margenov, Pencho Marinov
2019 J jnl
The Best Uniform Rational Approximation: Applications to Solving Equations Involving Fractional powers of Elliptic Operators.
CoRR
Stanislav Harizanov, Raytcho D. Lazarov, Svetozar Margenov, Pencho Marinov
2018 J jnl
A note on the uniform inf-sup condition for the Brinkman problem in highly heterogeneous media.
J. Comput. Appl. Math.
Raytcho D. Lazarov, Aziz Takhirov
2018 J jnl
Optimal solvers for linear systems with fractional powers of sparse SPD matrices.
Numer. Linear Algebra Appl.
Stanislav Harizanov, Raytcho D. Lazarov, Svetozar Margenov, Pencho Marinov, Yavor Vutov
2018 J jnl
Space-Time Petrov-Galerkin FEM for Fractional Diffusion Problems.
Comput. Methods Appl. Math.
Beiping Duan, Bangti Jin, Raytcho D. Lazarov, Joseph E. Pasciak, Zhi Zhou
2017 J jnl
Geometric Multigrid for Darcy and Brinkman models of flows in highly heterogeneous porous media: A numerical study.
J. Comput. Appl. Math.
Guido Kanschat, Raytcho D. Lazarov, Youli Mao
2017 J jnl
On nonnegativity preservation in finite element methods for subdiffusion equations.
Math. Comput.
Bangti Jin, Raytcho D. Lazarov, Vidar Thomée, Zhi Zhou
2017 J jnl
Preface: Numerical Analysis of Fractional Differential Equations.
Comput. Methods Appl. Math.
Bangti Jin, Raytcho D. Lazarov, Petr N. Vabishchevich
2016 J jnl
A Petrov-Galerkin Finite Element Method for Fractional Convection-Diffusion Equations.
SIAM J. Numer. Anal.
Bangti Jin, Raytcho D. Lazarov, Zhi Zhou
2016 J jnl
A simple finite element method for boundary value problems with a Riemann-Liouville derivative.
J. Comput. Appl. Math.
Bangti Jin, Raytcho D. Lazarov, Xiliang Lu, Zhi Zhou
2016 J jnl
Multiscale direction-splitting algorithms for parabolic equations with highly heterogeneous coefficients.
Comput. Math. Appl.
Shriram Srinivasan, Raytcho D. Lazarov, Peter D. Minev
2016 J jnl
Preconditioning Heterogeneous H(div) Problems by Additive Schur Complement Approximation and Applications.
SIAM J. Sci. Comput.
Johannes K. Kraus, Raytcho D. Lazarov, Maria Lymbery, Svetozar Margenov, Ludmil T. Zikatanov
2016 J jnl
Two Fully Discrete Schemes for Fractional Diffusion and Diffusion-Wave Equations with Nonsmooth Data.
SIAM J. Sci. Comput.
Bangti Jin, Raytcho D. Lazarov, Zhi Zhou
2015 J jnl
A Multiscale HDG Method for Second Order Elliptic Equations. Part I. Polynomial and Homogenization-Based Multiscale Spaces.
SIAM J. Numer. Anal.
Yalchin Efendiev, Raytcho D. Lazarov, Ke Shi
2015 J jnl
An analysis of the Rayleigh-Stokes problem for a generalized second-grade fluid.
Numerische Mathematik
Emilia G. Bazhlekova, Bangti Jin, Raytcho D. Lazarov, Zhi Zhou
2015 J jnl
The Galerkin finite element method for a multi-term time-fractional diffusion equation.
J. Comput. Phys.
Bangti Jin, Raytcho D. Lazarov, Yikan Liu, Zhi Zhou
2015 J jnl
Variational formulation of problems involving fractional order differential operators.
Math. Comput.
Bangti Jin, Raytcho D. Lazarov, Joseph E. Pasciak, William Rundell
2014 J jnl
Error Analysis of a Finite Element Method for the Space-Fractional Parabolic Equation.
SIAM J. Numer. Anal.
Bangti Jin, Raytcho D. Lazarov, Joseph E. Pasciak, Zhi Zhou
2013 J jnl
Error Estimates for a Semidiscrete Finite Element Method for Fractional Order Parabolic Equations.
SIAM J. Numer. Anal.
Bangti Jin, Raytcho D. Lazarov, Zhi Zhou
2013 J jnl
Generalized multiscale finite element method. Symmetric interior penalty coupling.
J. Comput. Phys.
Yalchin Efendiev, Juan Galvis, Raytcho D. Lazarov, M. Moon, Marcus Sarkis
2013 — conf
Mixed FEM for Second Order Elliptic Problems on Polygonal Meshes with BEM-Based Spaces.
LSSC
Yalchin Efendiev, Juan Galvis, Raytcho D. Lazarov, Steffen Weißer
2013 — ch.
Multiscale Domain Decomposition Preconditioners for Anisotropic High-Contrast Problems.
Domain Decomposition Methods in Science and Engineering XX
Yalchin Efendiev, Juan Galvis, Raytcho D. Lazarov, Svetozar Margenov, Jun Ren
2013 J jnl
Some Error Estimates for the Finite Volume Element Method for a Parabolic Problem.
Comput. Methods Appl. Math.
Panagiotis Chatzipantelidis, Raytcho D. Lazarov, Vidar Thomée
2012 — conf
Galerkin FEM for Fractional Order Parabolic Equations with Initial Data in H - s , 0 ≤ s ≤ 1.
NAA
Bangti Jin, Raytcho D. Lazarov, Joseph E. Pasciak, Zhi Zhou
2012 J jnl
Robust Two-level Domain Decomposition Preconditioners for High-contrast Anisotropic Flows in Multiscale Media.
Comput. Methods Appl. Math.
Yalchin Efendiev, Juan Galvis, Raytcho D. Lazarov, Svetozar Margenov, Jun Ren
2012 J jnl
Some error estimates for the lumped mass finite element method for a parabolic problem.
Math. Comput.
Panagiotis Chatzipantelidis, Raytcho D. Lazarov, Vidar Thomée
2011 — conf
Robust Solvers for Symmetric Positive Definite Operators and Weighted Poincaré Inequalities.
LSSC
Yalchin Efendiev, Juan Galvis, Raytcho D. Lazarov, Joerg Willems
2011 J jnl
Variational Multiscale Finite Element Method for Flows in Highly Porous Media.
Multiscale Model. Simul.
Oleg P. Iliev, Raytcho D. Lazarov, Joerg Willems
2010 J jnl
Fast numerical upscaling of heat equation for fibrous materials.
Comput. Vis. Sci.
Oleg Iliev, Raytcho D. Lazarov, Joerg Willems
2010 J jnl
Least squares approach for initial data recovery in dynamic data-driven applications simulations.
Comput. Vis. Sci.
Craig C. Douglas, Yalchin Efendiev, Richard E. Ewing, Victor Ginting, Raytcho D. Lazarov, Martin J. Cole, Greg Jones
2009 J jnl
A Simplified Method for Upscaling Composite Materials with High Contrast of the Conductivity.
SIAM J. Sci. Comput.
Richard E. Ewing, Oleg Iliev, Raytcho D. Lazarov, Irina Rybak, Joerg Willems
2009 — conf
Discontinuous Galerkin Subgrid Finite Element Method for Heterogeneous Brinkman's Equations.
LSSC
Oleg P. Iliev, Raytcho D. Lazarov, Joerg Willems
2009 J jnl
Mixed Finite Element Approximations of Parabolic Integro-Differential Equations with Nonsmooth Initial Data.
SIAM J. Numer. Anal.
Rajen Kumar Sinha, Richard E. Ewing, Raytcho D. Lazarov
2009 J jnl
Unified Hybridization of Discontinuous Galerkin, Mixed, and Continuous Galerkin Methods for Second Order Elliptic Problems.
SIAM J. Numer. Anal.
Bernardo Cockburn, Jayadeep Gopalakrishnan, Raytcho D. Lazarov
2007 J jnl
CBS constants for multilevel splitting of graph-Laplacian and application to preconditioning of discontinuous Galerkin systems.
J. Complex.
Raytcho D. Lazarov, Svetozar Margenov
2007 J jnl
On the balancing principle for some problems of Numerical Analysis.
Numerische Mathematik
Raytcho D. Lazarov, Shuai Lu, Sergei V. Pereverzev
2006 Misc conf
Dynamic Contaminant Identification in Water.
International Conference on Computational Science (3)
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
2006 J jnl
Dynamic Data Driven Simulations in Stochastic Environments.
Computing
Craig C. Douglas, Yalchin Efendiev, Richard E. Ewing, Victor Ginting, Raytcho D. Lazarov
2006 J jnl
On the occasion of the sixtieth birthday of Richard E. Ewing.
Numer. Linear Algebra Appl.
Raytcho D. Lazarov, Joseph E. Pasciak, Guan Qin
2006 J jnl
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.
Rajen Kumar Sinha, Richard E. Ewing, Raytcho D. Lazarov
2006 J jnl
Two-level preconditioning of discontinuous Galerkin approximations of second-order elliptic equations.
Numer. Linear Algebra Appl.
Veselin Dobrev, Raytcho D. Lazarov, Panayot S. Vassilevski, Ludmil T. Zikatanov
2005 J jnl
A finite volume element method for a non-linear elliptic problem.
Numer. Linear Algebra Appl.
Panagiotis Chatzipantelidis, Victor Ginting, Raytcho D. Lazarov
2005 J jnl
Error Estimates for a Finite Volume Element Method for Elliptic PDEs in Nonconvex Polygonal Domains.
SIAM J. Numer. Anal.
Panagiotis Chatzipantelidis, Raytcho D. Lazarov
2005 J jnl
Explicit and Averaging A Posteriori Error Estimates for Adaptive Finite Volume Methods.
SIAM J. Numer. Anal.
Carsten Carstensen, Raytcho D. Lazarov, Stanimire Tomov
2005 J jnl
Higher-order finite element methods.
Math. Comput.
Raytcho D. Lazarov
2005 Misc conf
Multiscale Interpolation, Backward in Time Error Analysis for Data-Driven Contaminant Simulation.
International Conference on Computational Science (2)
Craig C. Douglas, Yalchin Efendiev, Richard E. Ewing, Victor Ginting, Raytcho D. Lazarov, Martin J. Cole, Greg Jones, Chris R. Johnson
2005 — conf
Postprocessing and Improved Accuracy of the Lowest-Order Mixed Finite Element Approximation for Biharmonic Eigenvalues.
LSSC
Andrey B. Andreev, Raytcho D. Lazarov, Milena R. Racheva
2004 Misc conf
A Note on Data-Driven Contaminant Simulation.
International Conference on Computational Science
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
2003 J jnl
Almost optimal interior penalty discontinuous approximations of symmetric elliptic problems on non-matching grids.
Numerische Mathematik
Raytcho D. Lazarov, Joseph E. Pasciak, Joachim Schöberl, Panayot S. Vassilevski
2003 Misc conf
Virtual Telemetry for Dynamic Data-Driven Application Simulations.
International Conference on Computational Science
Craig C. Douglas, Yalchin Efendiev, Richard E. Ewing, Raytcho D. Lazarov, Martin J. Cole, Greg Jones, Chris R. Johnson
2002 — conf
On a Two-Level Parallel MIC(0) Preconditioning of Crouzeix-Raviart Non-conforming FEM Systems.
Numerical Methods and Application
Raytcho D. Lazarov, Svetozar Margenov
2001 J jnl
A Modified Finite Volume Approximation of Second-Order Elliptic Equations with Discontinuous Coefficients.
SIAM J. Sci. Comput.
Richard E. Ewing, Oleg P. Iliev, Raytcho D. Lazarov
2001 J jnl
Iterative solution of a coupled mixed and standard Galerkin discretization method for elliptic problems.
Numer. Linear Algebra Appl.
Raytcho D. Lazarov, Joseph E. Pasciak, Panayot S. Vassilevski
2001 J jnl
Multiplier Spaces for the Mortar Finite Element Method in Three Dimensions.
SIAM J. Numer. Anal.
Chisup Kim, Raytcho D. Lazarov, Joseph E. Pasciak, Panayot S. Vassilevski
2000 J jnl
Finite Volume Element Approximations of Nonlocal in Time One-Dimensional Flows in Porous Media.
Computing
Richard E. Ewing, Raytcho D. Lazarov, Yanping Lin
1999 — conf
Mixed Finite Element Methods for Elliptic Problems on Non-Matching Grids.
LSSC
Raytcho D. Lazarov, Joseph E. Pasciak, Panayot S. Vassilevski
1997 J jnl
A least-squares approach based on a discrete minus one inner product for first order systems.
Math. Comput.
James H. Bramble, Raytcho D. Lazarov, Joseph E. Pasciak
1996 J jnl
Domain decomposition algorithms for mixed methods for second-order elliptic problems.
Math. Comput.
Zhangxin Chen, Richard E. Ewing, Raytcho D. Lazarov
1996 J jnl
Multilevel Preconditioners for Mixed Methods for Second Order Elliptic Problems.
Numer. Linear Algebra Appl.
Zhangxin Chen, Richard E. Ewing, Raytcho D. Lazarov, Serguei Maliassov, Yuri A. Kuznetsov
1996 J jnl
Preconditioning Mixed Finite Element Saddle-point Elliptic Problems.
Numer. Linear Algebra Appl.
Panayot S. Vassilevski, Raytcho D. Lazarov
1994 J jnl
Local refinement techniques for elliptic problems on cell-centered grids; II. Optimal order two-grid iterative methods.
Numer. Linear Algebra Appl.
Richard E. Ewing, Raytcho D. Lazarov, Panayot S. Vassilevski
1993 J jnl
Convergence analysis of least-squares mixed finite elements.
Computing
Atanas I. Pehlivanov, Graham F. Carey, Raytcho D. Lazarov, Y. Shen
1992 J jnl
Finite Difference Schemes on Triangular Cell-Centered Grids with Local Refinement.
SIAM J. Sci. Comput.
Panayot S. Vassilevski, Svetozara I. Petrova, Raytcho D. Lazarov
1990 J jnl
Finite difference schemes on grids with local refinement in time and space for parabolic problems I. Derivation, stability, and error analysis.
Computing
Richard E. Ewing, Raytcho D. Lazarov, Panayot S. Vassilevski
1987 A conf
Solving Elliptic Problems by the Domain Decomposition Method Using Proconditioning Matrices Derived by Multilevel Splitting of the Finite Element Matrix.
ICS
Raytcho D. Lazarov, Panayot S. Vassilevski, Svetozar Margenov