Raytcho D. Lazarov

According to our database1, Raytcho D. Lazarov authored at least 68 papers between 1987 and 2020.

Collaborative distances:
  • Dijkstra number2 of four.
  • Erdős number3 of four.



In proceedings 
PhD thesis 


Online presence:

On csauthors.net:


Analysis of numerical methods for spectral fractional elliptic equations based on the best uniform rational approximation.
J. Comput. Phys., 2020

A Survey on Numerical Methods for Spectral Space-Fractional Diffusion Problems.
CoRR, 2020

Modern Problems of Numerical Analysis. On the Centenary of the Birth of Alexander Andreevich Samarskii.
Comput. Methods Appl. Math., 2020

Numerical solution of fractional diffusion-reaction problems based on BURA.
Comput. Math. Appl., 2020

The Best Uniform Rational Approximation: Applications to Solving Equations Involving Fractional powers of Elliptic Operators.
CoRR, 2019

Optimal solvers for linear systems with fractional powers of sparse SPD matrices.
Numer. Linear Algebra Appl., 2018

A note on the uniform inf-sup condition for the Brinkman problem in highly heterogeneous media.
J. Comput. Appl. Math., 2018

Space-Time Petrov-Galerkin FEM for Fractional Diffusion Problems.
Comput. Methods Appl. Math., 2018

On nonnegativity preservation in finite element methods for subdiffusion equations.
Math. Comput., 2017

Geometric Multigrid for Darcy and Brinkman models of flows in highly heterogeneous porous media: A numerical study.
J. Comput. Appl. Math., 2017

Preface: Numerical Analysis of Fractional Differential Equations.
Comput. Methods Appl. Math., 2017

Preconditioning Heterogeneous H(div) Problems by Additive Schur Complement Approximation and Applications.
SIAM J. Sci. Comput., 2016

Two Fully Discrete Schemes for Fractional Diffusion and Diffusion-Wave Equations with Nonsmooth Data.
SIAM J. Sci. Comput., 2016

A Petrov-Galerkin Finite Element Method for Fractional Convection-Diffusion Equations.
SIAM J. Numer. Anal., 2016

A simple finite element method for boundary value problems with a Riemann-Liouville derivative.
J. Comput. Appl. Math., 2016

Multiscale direction-splitting algorithms for parabolic equations with highly heterogeneous coefficients.
Comput. Math. Appl., 2016

A Multiscale HDG Method for Second Order Elliptic Equations. Part I. Polynomial and Homogenization-Based Multiscale Spaces.
SIAM J. Numer. Anal., 2015

An analysis of the Rayleigh-Stokes problem for a generalized second-grade fluid.
Numerische Mathematik, 2015

Variational formulation of problems involving fractional order differential operators.
Math. Comput., 2015

The Galerkin finite element method for a multi-term time-fractional diffusion equation.
J. Comput. Phys., 2015

Error Analysis of a Finite Element Method for the Space-Fractional Parabolic Equation.
SIAM J. Numer. Anal., 2014

Multiscale Domain Decomposition Preconditioners for Anisotropic High-Contrast Problems.
Proceedings of the Domain Decomposition Methods in Science and Engineering XX, 2013

Error Estimates for a Semidiscrete Finite Element Method for Fractional Order Parabolic Equations.
SIAM J. Numer. Anal., 2013

Generalized multiscale finite element method. Symmetric interior penalty coupling.
J. Comput. Phys., 2013

Some Error Estimates for the Finite Volume Element Method for a Parabolic Problem.
Comput. Methods Appl. Math., 2013

Mixed FEM for Second Order Elliptic Problems on Polygonal Meshes with BEM-Based Spaces.
Proceedings of the Large-Scale Scientific Computing - 9th International Conference, 2013

Some error estimates for the lumped mass finite element method for a parabolic problem.
Math. Comput., 2012

Robust Two-level Domain Decomposition Preconditioners for High-contrast Anisotropic Flows in Multiscale Media.
Comput. Methods Appl. Math., 2012

Galerkin FEM for Fractional Order Parabolic Equations with Initial Data in H - s , 0 ≤ s ≤ 1.
Proceedings of the Numerical Analysis and Its Applications - 5th International Conference, 2012

Variational Multiscale Finite Element Method for Flows in Highly Porous Media.
Multiscale Model. Simul., 2011

Robust Solvers for Symmetric Positive Definite Operators and Weighted Poincaré Inequalities.
Proceedings of the Large-Scale Scientific Computing - 8th International Conference, 2011

Fast numerical upscaling of heat equation for fibrous materials.
Comput. Vis. Sci., 2010

Least squares approach for initial data recovery in dynamic data-driven applications simulations.
Comput. Vis. Sci., 2010

A Simplified Method for Upscaling Composite Materials with High Contrast of the Conductivity.
SIAM J. Sci. Comput., 2009

Mixed Finite Element Approximations of Parabolic Integro-Differential Equations with Nonsmooth Initial Data.
SIAM J. Numer. Anal., 2009

Unified Hybridization of Discontinuous Galerkin, Mixed, and Continuous Galerkin Methods for Second Order Elliptic Problems.
SIAM J. Numer. Anal., 2009

Discontinuous Galerkin Subgrid Finite Element Method for Heterogeneous Brinkman's Equations.
Proceedings of the Large-Scale Scientific Computing, 7th International Conference, 2009

On the balancing principle for some problems of Numerical Analysis.
Numerische Mathematik, 2007

CBS constants for multilevel splitting of graph-Laplacian and application to preconditioning of discontinuous Galerkin systems.
J. Complex., 2007

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., 2006

On the occasion of the sixtieth birthday of Richard E. Ewing.
Numer. Linear Algebra Appl., 2006

Two-level preconditioning of discontinuous Galerkin approximations of second-order elliptic equations.
Numer. Linear Algebra Appl., 2006

Dynamic Data Driven Simulations in Stochastic Environments.
Computing, 2006

Error Estimates for a Finite Volume Element Method for Elliptic PDEs in Nonconvex Polygonal Domains.
SIAM J. Numer. Anal., 2005

Explicit and Averaging A Posteriori Error Estimates for Adaptive Finite Volume Methods.
SIAM J. Numer. Anal., 2005

A finite volume element method for a non-linear elliptic problem.
Numer. Linear Algebra Appl., 2005

Higher-order finite element methods.
Math. Comput., 2005

Postprocessing and Improved Accuracy of the Lowest-Order Mixed Finite Element Approximation for Biharmonic Eigenvalues.
Proceedings of the Large-Scale Scientific Computing, 5th International Conference, 2005

Multiscale Interpolation, Backward in Time Error Analysis for Data-Driven Contaminant Simulation.
Proceedings of the Computational Science, 2005

A Note on Data-Driven Contaminant Simulation.
Proceedings of the Computational Science, 2004

Almost optimal interior penalty discontinuous approximations of symmetric elliptic problems on non-matching grids.
Numerische Mathematik, 2003

Virtual Telemetry for Dynamic Data-Driven Application Simulations.
Proceedings of the Computational Science - ICCS 2003, 2003

On a Two-Level Parallel MIC(0) Preconditioning of Crouzeix-Raviart Non-conforming FEM Systems.
Proceedings of the Numerical Methods and Applications, 5th International Conference, 2002

A Modified Finite Volume Approximation of Second-Order Elliptic Equations with Discontinuous Coefficients.
SIAM J. Sci. Comput., 2001

Multiplier Spaces for the Mortar Finite Element Method in Three Dimensions.
SIAM J. Numer. Anal., 2001

Iterative solution of a coupled mixed and standard Galerkin discretization method for elliptic problems.
Numer. Linear Algebra Appl., 2001

Finite Volume Element Approximations of Nonlocal in Time One-Dimensional Flows in Porous Media.
Computing, 2000

Mixed Finite Element Methods for Elliptic Problems on Non-Matching Grids.
Proceedings of the Large-Scale Scientific Computation for Engineering and Environmental Problems, 1999

A least-squares approach based on a discrete minus one inner product for first order systems.
Math. Comput., 1997

Preconditioning Mixed Finite Element Saddle-point Elliptic Problems.
Numer. Linear Algebra Appl., 1996

Multilevel Preconditioners for Mixed Methods for Second Order Elliptic Problems.
Numer. Linear Algebra Appl., 1996

Domain decomposition algorithms for mixed methods for second-order elliptic problems.
Math. Comput., 1996

Local refinement techniques for elliptic problems on cell-centered grids; II. Optimal order two-grid iterative methods.
Numer. Linear Algebra Appl., 1994

Convergence analysis of least-squares mixed finite elements.
Computing, 1993

Finite Difference Schemes on Triangular Cell-Centered Grids with Local Refinement.
SIAM J. Sci. Comput., 1992

Finite difference schemes on grids with local refinement in time and space for parabolic problems I. Derivation, stability, and error analysis.
Computing, 1990

Solving Elliptic Problems by the Domain Decomposition Method Using Proconditioning Matrices Derived by Multilevel Splitting of the Finite Element Matrix.
Proceedings of the Supercomputing, 1987