All Stories

  1. Modern Problems of Numerical Analysis. On the Centenary of the Birth of Alexander Andreevich Samarskii

    Article • Computational Methods in Applied Mathematics, October 2020, De Gruyter

    Professor Raytcho Lazarov, Professor Piotr Matus

  2. Space-Time Petrov–Galerkin FEM for Fractional Diffusion Problems

    Article • Computational Methods in Applied Mathematics, August 2017, De Gruyter

    Professor Raytcho Lazarov

  3. Geometric Multigrid for Darcy and Brinkman models of flows in highly heterogeneous porous media: A numerical study

    Article • Journal of Computational and Applied Mathematics, January 2017, Elsevier

    Professor Raytcho Lazarov

  4. A Numerical Study of the Homogeneous Elliptic Equation with Fractional Boundary Conditions

    Article • Fractional Calculus and Applied Analysis, January 2017, De Gruyter

    Professor Raytcho Lazarov

  5. Preface: Numerical Analysis of Fractional Differential Equations

    Article • Computational Methods in Applied Mathematics, January 2017, De Gruyter

    Professor Raytcho Lazarov

  6. Multiscale direction-splitting algorithms for parabolic equations with highly heterogeneous coefficients

    Article • Computers & Mathematics with Applications, September 2016, Elsevier

    Professor Raytcho Lazarov

  7. A simple finite element method for boundary value problems with a Riemann–Liouville derivative

    Article • Journal of Computational and Applied Mathematics, February 2016, Elsevier

    Professor Raytcho Lazarov

  8. Error estimates for approximations of distributed order time fractional diffusion with nonsmooth data

    Article • Fractional Calculus and Applied Analysis, January 2016, De Gruyter

    Professor Raytcho Lazarov

  9. On nonnegativity preservation in finite element methods for subdiffusion equations

    Article • Mathematics of Computation, January 2016, American Mathematical Society (AMS)

    Professor Raytcho Lazarov

  10. A Petrov--Galerkin Finite Element Method for Fractional Convection-Diffusion Equations

    Article • SIAM Journal on Numerical Analysis, January 2016, Society for Industrial & Applied Mathematics (SIAM)

    Professor Raytcho Lazarov

  11. Two Fully Discrete Schemes for Fractional Diffusion and Diffusion-Wave Equations with Nonsmooth Data

    Article • SIAM Journal on Scientific Computing, January 2016, Society for Industrial & Applied Mathematics (SIAM)

    Professor Raytcho Lazarov

  12. Preconditioning Heterogeneous $\boldsymbol{H}(\mathrm{div})$ Problems by Additive Schur Complement Approximation and Applications

    Article • SIAM Journal on Scientific Computing, January 2016, Society for Industrial & Applied Mathematics (SIAM)

    Professor Raytcho Lazarov

  13. A spectral multiscale hybridizable discontinuous Galerkin method for second order elliptic problems

    Article • Computer Methods in Applied Mechanics and Engineering, August 2015, Elsevier

    Professor Raytcho Lazarov

  14. Variational formulation of problems involving fractional order differential operators

    Article • Mathematics of Computation, April 2015, American Mathematical Society (AMS)

    Professor Raytcho Lazarov

  15. An analysis of the L1 scheme for the subdiffusion equation with nonsmooth data

    Article • IMA Journal of Numerical Analysis, January 2015, Oxford University Press (OUP)

    Professor Raytcho Lazarov

  16. A Multiscale HDG Method for Second Order Elliptic Equations. Part I. Polynomial and Homogenization-Based Multiscale Spaces

    Article • SIAM Journal on Numerical Analysis, January 2015, Society for Industrial & Applied Mathematics (SIAM)

    Professor Raytcho Lazarov

  17. The Galerkin finite element method for a multi-term time-fractional diffusion equation

    Article • Journal of Computational Physics, January 2015, Elsevier

    Professor Raytcho Lazarov

  18. An analysis of the Rayleigh–Stokes problem for a generalized second-grade fluid

    Article • Numerische Mathematik, November 2014, Springer Science + Business Media

    Professor Raytcho Lazarov

  19. Mixed FEM for Second Order Elliptic Problems on Polygonal Meshes with BEM-Based Spaces

    Article • January 2014, Springer Science + Business Media

    Professor Raytcho Lazarov

  20. Error Analysis of a Finite Element Method for the Space-Fractional Parabolic Equation

    Article • SIAM Journal on Numerical Analysis, January 2014, Society for Industrial & Applied Mathematics (SIAM)

    Professor Raytcho Lazarov

  21. Multiscale Domain Decomposition Preconditioners for Anisotropic High-Contrast Problems

    Article • January 2013, Springer Science + Business Media

    Dr JUAN GALVIS, Professor Raytcho Lazarov

  22. Some Error Estimates for the Finite Volume Element Method for a Parabolic Problem

    Article • Computational Methods in Applied Mathematics, January 2013, De Gruyter

    Professor Raytcho Lazarov

  23. Error Estimates for a Semidiscrete Finite Element Method for Fractional Order Parabolic Equations

    Article • SIAM Journal on Numerical Analysis, January 2013, Society for Industrial & Applied Mathematics (SIAM)

    Professor Raytcho Lazarov

  24. Galerkin FEM for Fractional Order Parabolic Equations with Initial Data in H − s , 0 ≤ s ≤ 1

    Article • January 2013, Springer Science + Business Media

    Professor Raytcho Lazarov

  25. Robust domain decomposition preconditioners for abstract symmetric positive definite bilinear forms

    Article • ESAIM Mathematical Modelling and Numerical Analysis, February 2012, EDP Sciences

    Dr JUAN GALVIS, Professor Raytcho Lazarov

  26. Robust Two-level Domain Decomposition Preconditioners for High-contrast Anisotropic Flows in Multiscale Media

    Article • Computational Methods in Applied Mathematics, January 2012, De Gruyter

    Dr JUAN GALVIS, Professor Raytcho Lazarov

  27. Robust Solvers for Symmetric Positive Definite Operators and Weighted Poincaré Inequalities

    Article • January 2012, Springer Science + Business Media

    Dr JUAN GALVIS, Professor Raytcho Lazarov

  28. Fast numerical upscaling of heat equation for fibrous materials

    Article • Computing and Visualization in Science, August 2010, Springer Science + Business Media

    Professor Raytcho Lazarov

  29. Discontinuous Galerkin Subgrid Finite Element Method for Heterogeneous Brinkman’s Equations

    Article • January 2010, Springer Science + Business Media

    Professor Raytcho Lazarov

  30. Functional a posteriori error estimates for discontinuous Galerkin approximations of elliptic problems

    Article • Numerical Methods for Partial Differential Equations, July 2009, Wiley

    Professor Raytcho Lazarov

  31. Mixed Finite Element Approximations of Parabolic Integro-Differential Equations with Nonsmooth Initial Data

    Article • SIAM Journal on Numerical Analysis, January 2009, Society for Industrial & Applied Mathematics (SIAM)

    Professor Raytcho Lazarov

  32. Unified Hybridization of Discontinuous Galerkin, Mixed, and Continuous Galerkin Methods for Second Order Elliptic Problems

    Article • SIAM Journal on Numerical Analysis, January 2009, Society for Industrial & Applied Mathematics (SIAM)

    Professor Raytcho Lazarov

  33. Preconditioning of Symmetric Interior Penalty Discontinuous Galerkin FEM for Elliptic Problems

    Article • January 2008, Springer Science + Business Media

    Professor Raytcho Lazarov

  34. On the balancing principle for some problems of Numerical Analysis

    Article • Numerische Mathematik, April 2007, Springer Science + Business Media

    Professor Raytcho Lazarov

  35. Stabilized discontinuous finite element approximations for Stokes equations

    Article • Journal of Computational and Applied Mathematics, January 2007, Elsevier

    Professor Raytcho Lazarov

  36. On convergence of certain finite volume difference discretizations for 1D poroelasticity interface problems

    Article • Numerical Methods for Partial Differential Equations, January 2007, Wiley

    Professor Raytcho Lazarov

  37. Dynamic Data Driven Simulations in Stochastic Environments

    Article • Computing, June 2006, Springer Science + Business Media

    Professor Raytcho Lazarov

  38. Some new error estimates of a semidiscrete finite volume element method for a parabolic integro-differential equation with nonsmooth initial data

    Article • SIAM Journal on Numerical Analysis, January 2006, Society for Industrial & Applied Mathematics (SIAM)

    Professor Raytcho Lazarov

  39. Dynamic Contaminant Identification in Water

    Article • January 2006, Springer Science + Business Media

    Professor Raytcho Lazarov

  40. Two-level preconditioning of discontinuous Galerkin approximations of second-order elliptic equations

    Article • Numerical Linear Algebra with Applications, January 2006, Wiley

    Professor Raytcho Lazarov

  41. Postprocessing and Improved Accuracy of the Lowest-Order Mixed Finite Element Approximation for Biharmonic Eigenvalues

    Article • January 2006, Springer Science + Business Media

    Professor Raytcho Lazarov

  42. Multiscale Interpolation, Backward in Time Error Analysis for Data-Driven Contaminant Simulation

    Article • January 2005, Springer Science + Business Media

    Professor Raytcho Lazarov

  43. Upscaled modeling in multiphase flow applications

    Article • Computational and Applied Mathematics, December 2004, Brazilian Society for Computational and Applied Mathematics (SBMAC)

    Professor Raytcho Lazarov

  44. Upscaled modeling in multiphase flow applications

    Article • Computational and Applied Mathematics, December 2004, FapUNIFESP (SciELO)

    Professor Raytcho Lazarov

  45. A Note on Data-Driven Contaminant Simulation

    Article • January 2004, Springer Science + Business Media

    Professor Raytcho Lazarov

  46. Virtual Telemetry for Dynamic Data-Driven Application Simulations

    Article • January 2003, Springer Science + Business Media

    Professor Raytcho Lazarov

  47. On a Two-Level Parallel MIC(0) Preconditioning of Crouzeix-Raviart Non-conforming FEM Systems

    Article • January 2003, Springer Science + Business Media

    Professor Raytcho Lazarov

  48. NON-CONFORMING FINITE ELEMENTS; MESH GENERATION, ADAPTIVITY AND RELATED ALGEBRAIC MULTIGRID AND DOMAIN DECOMPOSITION METHODS IN MASSIVELY PARALLEL COMPUTING ENVIRONMENT

    Article • February 2002, Office of Scientific and Technical Information (OSTI)

    Professor Raytcho Lazarov

  49. Least-squares methods for linear elasticity based on a discrete minus one inner product

    Article • Computer Methods in Applied Mechanics and Engineering, December 2001, Elsevier

    Professor Raytcho Lazarov

  50. Almost Optimal Interior Penalty Discontinuous Approximations of Symmetric Elliptic Problems on Non-Matching Grids

    Article • August 2001, Office of Scientific and Technical Information (OSTI)

    Professor Raytcho Lazarov

  51. Interior Penalty Discontinuous Approximations of Elliptic Problems

    Article • Computational Methods in Applied Mathematics, January 2001, De Gruyter

    Professor Raytcho Lazarov

  52. Multiplier Spaces for the Mortar Finite Element Method in Three Dimensions

    Article • SIAM Journal on Numerical Analysis, January 2001, Society for Industrial & Applied Mathematics (SIAM)

    Professor Raytcho Lazarov

  53. Discretization and iterative solution techniques for elliptic problems on non-matching grids

    Article • November 2000, Office of Scientific and Technical Information (OSTI)

    Professor Raytcho Lazarov

  54. Finite volume element approximations of nonlocal reactive flows in porous media

    Article • Numerical Methods for Partial Differential Equations, May 2000, Wiley

    Professor Raytcho Lazarov

  55. Iterative solution of a coupled mixed and standard Galerkin discretization method for elliptic problems

    Article • Numerical Linear Algebra with Applications, January 2000, Wiley

    Professor Raytcho Lazarov

  56. FINITE VOLUME ELEMENT APPROXIMATIONS OF INTEGRO-DIFFERENTIAL PARABOLIC PROBLEMS

    Article • July 1999, World Scientific Pub Co Pte Lt

    Professor Raytcho Lazarov

  57. Superconvergence of mixed finite element methods for parabolic problems with nonsmooth initial data

    Article • Numerische Mathematik, February 1998, Springer Science + Business Media

    Professor Raytcho Lazarov

  58. Least-squares for second-order elliptic problems

    Article • Computer Methods in Applied Mechanics and Engineering, January 1998, Elsevier

    Professor Raytcho Lazarov

  59. A least-squares approach based on a discrete minus one inner product for first order systems

    Article • Mathematics of Computation, July 1997, American Mathematical Society (AMS)

    Professor Raytcho Lazarov

  60. Multilevel Preconditioners for Mixed Methods for Second Order Elliptic Problems

    Article • Numerical Linear Algebra with Applications, September 1996, Wiley

    Professor Raytcho Lazarov

  61. Domain decomposition algorithms for mixed methods for second-order elliptic problems

    Article • Mathematics of Computation, April 1996, American Mathematical Society (AMS)

    Professor Raytcho Lazarov

  62. Preconditioning Mixed Finite Element Saddle‐point Elliptic Problems

    Article • Numerical Linear Algebra with Applications, January 1996, Wiley

    Professor Raytcho Lazarov

  63. Preconditioning Mixed Finite Element Saddle-point Elliptic Problems

    Article • Numerical Linear Algebra with Applications, January 1996, Wiley

    Professor Raytcho Lazarov

  64. Finite Difference Scheme for Parabolic Problems on Composite Grids with Refinement in Time and Space

    Article • SIAM Journal on Numerical Analysis, December 1994, Society for Industrial & Applied Mathematics (SIAM)

    Professor Raytcho Lazarov

  65. Domain Decomposition Type Iterative Techniques for Parabolic Problems on Locally Refined Grids

    Article • SIAM Journal on Numerical Analysis, December 1993, Society for Industrial & Applied Mathematics (SIAM)

    Professor Raytcho Lazarov

  66. Convergence analysis of least-squares mixed finite elements

    Article • Computing, June 1993, Springer Science + Business Media

    Professor Raytcho Lazarov

  67. Preconditioning indefinite systems arising from mixed finite element discretization of second-order elliptic problems

    Article • January 1990, Springer Science + Business Media

    Professor Raytcho Lazarov

  68. Superconvergence analysis of flux computations for nonlinear problems

    Article • Bulletin of the Australian Mathematical Society, December 1989, Cambridge University Press

    Professor Raytcho Lazarov

  69. Stability of elliptic difference problems

    Article • USSR Computational Mathematics and Mathematical Physics, January 1973, Elsevier

    Professor Raytcho Lazarov

  70. Dynamic Data-Driven Contaminant Simulation

    Article • Springer Science + Business Media

    Professor Raytcho Lazarov

  71. On the Discretization of Interface Problems with Perfect and Imperfect Contact

    Article • Springer Science + Business Media

    Professor Raytcho Lazarov

  72. INTERPOLATION AND UPDATE IN DYNAMIC DATA-DRIVEN APPLICATION SIMULATIONS

    Article • Springer Science + Business Media

    Professor Raytcho Lazarov