# keywords[]
4903 Numerical And Computational Mathematics

# keywords[]
4903 Numerical And Computational Mathematics

# keywords[]
Fast Solvers Of Fractional Power Matrix Equations

# keywords[]
Platelet Endothelial Cell Adhesion Molecule-1

# keywords[]
4903 Numerical And Computational Mathematics

# keywords[]
4903 Numerical And Computational Mathematics

# keywords[]
Elliptic Problems With Variable Coefficients

# keywords[]
4903 Numerical And Computational Mathematics

# keywords[]
Discontinuous Galerkin Mixed Finite Element Method

# keywords[]
Robust Preconditioners For Weighted H(div)-norm

# keywords[]
4903 Numerical And Computational Mathematics

# keywords[]
4903 Numerical And Computational Mathematics

# keywords[]
4903 Numerical And Computational Mathematics

# keywords[]
4903 Numerical And Computational Mathematics

# keywords[]
4903 Numerical And Computational Mathematics

# keywords[]
Numerical Methods For Fractional Powers Of Elliptic Operators

# keywords[]
Upwind And Modified Upwind Approximations

# keywords[]
Combined Mixed And Standard Galerkin Discretization Methods

# educationAndTraining[].organization.label
Moscow State University - (Moscow, Russia)

# educationAndTraining[].organization.label
Sofia University - (Palo Alto, California, United States)

# educationAndTraining[].organization.label
Wroclaw University of Economics - (WrocLaw, Poland)

# publications[].label
Domain splitting algorithm for mixed finite element approximations to parabolic problems

# publications[].label
Space-Time Petrov–Galerkin FEM for Fractional Diffusion Problems

# publications[].label
A note on the uniform inf-sup condition for the Brinkman problem in highly heterogeneous media

# publications[].label
PRECONDITIONING INDEFINITE SYSTEMS ARISING FROM MIXED FINITE-ELEMENT DISCRETIZATION OF 2ND-ORDER ELLIPTIC PROBLEMS

# publications[].label
Preconditioning mixed finite element saddle-point elliptic problems

# publications[].label
FINITE-DIFFERENCE SCHEMES ON TRIANGULAR CELL-CENTERED GRIDS WITH LOCAL REFINEMENT

# publications[].publisher
Society for Industrial & Applied Mathematics (SIAM)

# publications[].label
Functional A Posteriori Error Estimates for Discontinuous Galerkin Approximations of Elliptic Problems

# publications[].label
Geometric Multigrid for Darcy and Brinkman models of flows in highly heterogeneous porous media: A numerical study

# publications[].label
LEAST-SQUARES MIXED FINITE-ELEMENTS FOR 2ND-ORDER ELLIPTIC PROBLEMS

# publications[].publisher
Society for Industrial & Applied Mathematics (SIAM)

# publications[].label
Dynamic contaminant identification in water

# publications[].label
Special issue on locally conservative numerical methods for flow in porous media - Introduction

# publications[].label
Two-level preconditioning of discontinuous Galerkin approximations of second-order elliptic equations

# publications[].label
The Galerkin finite element method for a multi-term time-fractional diffusion equation

# publications[].label
Superconvergence of mixed finite element methods for parabolic problems with nonsmooth initial data

# publications[].label
Preface: Numerical Analysis of Fractional Differential Equations

# publications[].label
Mixed FEM for Second Order Elliptic Problems on Polygonal Meshes with BEM-Based Spaces

# publications[].label
ERROR ESTIMATES FOR APPROXIMATIONS OF DISTRIBUTED ORDER TIME FRACTIONAL DIFFUSION WITH NONSMOOTH DATA

# publications[].label
ON THE CONVERGENCE OF DIFFERENCE-SCHEMES FOR THE APPROXIMATION OF SOLUTIONS U IS-AN-ELEMENT-OF W2M(M LESS-THAN 0.5) OF ELLIPTIC-EQUATIONS WITH MIXED DERIVATIVES

# publications[].label
An analysis of the L1 scheme for the subdiffusion equation with nonsmooth data

# publications[].label
DIFFERENCE-SCHEMES OF 2ND-ORDER ACCURACY FOR AXISYMMETRIC POISSON EQUATIONS ON GENERALIZED SOLUTIONS FROM W2(2)

# publications[].label
SOME ERROR ESTIMATES FOR THE LUMPED MASS FINITE ELEMENT METHOD FOR A PARABOLIC PROBLEM

# publications[].label
CONVERGENCE OF FINITE-DIFFERENCE SOLUTIONS TO GENERALIZED SOLUTIONS OF A BIHARMONIC EQUATION IN A RECTANGLE

# publications[].label
On a two-level parallel MIC(0) preconditioning of Crouzeix-Raviart non-conforming FEM systems

# publications[].label
Hypofractionation radiotherapy versus combined conventional radio-chemotherapy in advanced head and neck tumors

# publications[].label
Optimal solvers for linear systems with fractional powers of sparse SPD matrices

# publications[].label
TWO FULLY DISCRETE SCHEMES FOR FRACTIONAL DIFFUSION AND DIFFUSION-WAVE EQUATIONS WITH NONSMOOTH DATA

# publications[].publisher
Society for Industrial & Applied Mathematics (SIAM)

# publications[].label
Least-squares methods for linear elasticity based on a discrete minus one inner product

# publications[].label
On the occasion of the sixtieth birthday of Richard E. Ewing

# publications[].label
Stability of elliptic difference problems

# publications[].label
Explicit and averaging a posteriori error estimates for adaptive finite volume methods

# publications[].publisher
Society for Industrial & Applied Mathematics (SIAM)

# publications[].label
Can flow cytometric detection of platelet activation early in pregnancy predict the occurrence of preeclampsia? A prospective study.

# publications[].label
SUPERCONVERGENCE ANALYSIS OF FLUX COMPUTATIONS FOR NONLINEAR PROBLEMS

# publications[].label
Robust Solvers for Symmetric Positive Definite Operators and Weighted Poincar Inequalities

# publications[].label
ERROR ESTIMATES FOR A SEMIDISCRETE FINITE ELEMENT METHOD FOR FRACTIONAL ORDER PARABOLIC EQUATIONS

# publications[].publisher
Society for Industrial & Applied Mathematics (SIAM)

# publications[].label
Preconditioning of Symmetric Interior Penalty Discontinuous Galerkin FEM for Elliptic Problems

# publications[].label
Numerical well model for non-Darcy flow through isotropic porous media

# publications[].label
On the discretization of interface problems with perfect and imperfect contact

# publications[].label
Interior Penalty Discontinuous Approximations of Elliptic Problems

# publications[].label
Error estimates for a finite volume element method for elliptic PDES in nonconvex polygonal domains

# publications[].publisher
Society for Industrial & Applied Mathematics (SIAM)

# publications[].label
An analysis of the Rayleigh-Stokes problem for a generalized second-grade fluid.

# publications[].label
Local Refinement Techniques for Elliptic Problems on Cell-centered Grids; II. Optimal Order Two-grid Iterative Methods

# publications[].label
ROBUST DOMAIN DECOMPOSITION PRECONDITIONERS FOR ABSTRACT SYMMETRIC POSITIVE DEFINITE BILINEAR FORMS

# publications[].label
CONVERGENCE OF FINITE-DIFFERENCE SCHEMES FOR ELLIPTIC-EQUATIONS WITH MIXED DERIVATIVES HAVING GENERALIZED SOLUTIONS

# publications[].label
Iterative solution of a coupled mixed and standard Galerkin discretization method for elliptic problems

# publications[].label
Interpolation and update in dynamic data-driven application simulations

# publications[].label
A modified finite volume approximation of second-order elliptic equations with discontinuous coefficients

# publications[].label
SOLVING ELLIPTIC PROBLEMS BY THE DOMAIN DECOMPOSITION METHOD USING PRECONDITIONING MATRICES DERIVED BY MULTILEVEL SPLITTINGS OF THE FINITE-ELEMENT MATRIX

# publications[].label
A spectral multiscale hybridizable discontinuous Galerkin method for second order elliptic problems

# publications[].label
Multiscale interpolation, backward in time error analysis for data-driven contaminant simulation

# publications[].label
Numerical methods for time-fractional evolution equations with nonsmooth data: A concise overview

# publications[].label
ON NONNEGATIVITY PRESERVATION IN FINITE ELEMENT METHODS FOR SUBDIFFUSION EQUATIONS

# publications[].label
Local refinement techniques for elliptic problems on cell-centered grids. I. Error analysis

# publications[].label
FACTORIZED DIFFERENCE SCHEMES OF 2ND ORDER ACCURACY FOR SOME DYNAMIC AXYSYMMETRIC PROBLEMS OF ELASTICITY

# publications[].label
MIXED FINITE ELEMENT APPROXIMATIONS OF PARABOLIC INTEGRO-DIFFERENTIAL EQUATIONS WITH NONSMOOTH INITIAL DATA

# publications[].publisher
Society for Industrial & Applied Mathematics (SIAM)

# publications[].label
MIXED FINITE-ELEMENT SOLUTIONS OF 2ND-ORDER ELLIPTIC PROBLEMS ON GRIDS WITH REGULAR LOCAL REFINEMENT

# publications[].label
Error estimates for a finite volume element method for parabolic equations in convex polygonal domains

# publications[].label
Upscaled modeling in multiphase flow applications

# publications[].label
Error control, local grid refinement, and efficient solution algorithms for singularly perturbed problems

# publications[].label
Finite volume element approximations of nonlocal in time one-dimensional plows in porous media

# publications[].label
COMPARATIVE ANALYSIS OF TWO RADIOTHERAPY REGIMENS FOR THE TREATMENT OF PATIENTS WITH NON-SMALL CELL LUNG CANCER

# publications[].label
THE CONVERGENCE OF DIFFERENCE-SCHEMES FOR POISSON EQUATIONS IN LP METRICS

# publications[].label
A SIMPLIFIED METHOD FOR UPSCALING COMPOSITE MATERIALS WITH HIGH CONTRAST OF THE CONDUCTIVITY

# publications[].publisher
Society for Industrial & Applied Mathematics (SIAM)

# publications[].label
CONVERGENCE ANALYSIS OF LEAST-SQUARES MIXED FINITE-ELEMENTS

# publications[].label
LOCAL REFINEMENT TECHNIQUES FOR ELLIPTIC PROBLEMS ON CELL-CENTERED GRIDS .3. ALGEBRAIC MULTILEVEL BEPS PRECONDITIONERS

# publications[].label
Modeling and simulation of pollutants transport in rivers

# publications[].label
ERROR ANALYSIS OF A FINITE ELEMENT METHOD FOR THE SPACE-FRACTIONAL PARABOLIC EQUATION

# publications[].publisher
Society for Industrial & Applied Mathematics (SIAM)

# publications[].label
Streamline diffusion least-squares mixed finite element methods for convection-diffusion problems

# publications[].label
Virtual telemetry for dynamic data-driven application simulations

# publications[].label
Discontinuous Galerkin Subgrid Finite Element Method for Heterogeneous Brinkman's Equations

# publications[].label
SUPERCONVERGENCE OF THE VELOCITY ALONG THE GAUSS LINES IN MIXED FINITE-ELEMENT METHODS

# publications[].publisher
Society for Industrial & Applied Mathematics (SIAM)

# publications[].label
A posteriori error estimates for finite volume element approximations of convection-diffusion-reaction equations

# publications[].label
Numerical solution of fractional diffusion-reaction problems based on BURA

# publications[].label
Multilevel preconditioners for mixed methods for second order elliptic problems

# publications[].label
A finite volume element method for a non-linear elliptic problem

# publications[].label
Difference scheme of second order of accuracy for the axisymmetric poisson equation in generalized solutions

# publications[].label
Numerical Study of Two-grid Preconditioners for 1-d Elliptic Problems with Highly Oscillating Discontinuous Coefficients

# publications[].label
VARIATIONAL MULTISCALE FINITE ELEMENT METHOD FOR FLOWS IN HIGHLY POROUS MEDIA

# publications[].publisher
Society for Industrial & Applied Mathematics (SIAM)

# publications[].label
1ST-ORDER SYSTEM LEAST-SQUARES FOR 2ND-ORDER PARTIAL-DIFFERENTIAL EQUATIONS .1.

# publications[].publisher
Society for Industrial & Applied Mathematics (SIAM)

# publications[].label
PRECONDITIONING HETEROGENEOUS H(div) PROBLEMS BY ADDITIVE SCHUR COMPLEMENT APPROXIMATION AND APPLICATIONS

# publications[].publisher
Society for Industrial & Applied Mathematics (SIAM)

# publications[].label
Postprocessing and improved accuracy of the lowest-order mixed finite element approximation for biharmonic eigenvalues

# publications[].label
A simple finite element method for boundary value problems with a Riemann-Liouville derivative

# publications[].label
Least-squares for second-order elliptic problems

# publications[].label
Least squares approach for initial data recovery in dynamic data-driven applications simulations

# publications[].label
ESTIMATES OF THE RATE OF CONVERGENCE OF DIFFERENCE-SCHEMES FOR FOURTH-ORDER ELLIPTIC-EQUATIONS

# publications[].label
LOCAL REFINEMENT VIA DOMAIN DECOMPOSITION TECHNIQUES FOR MIXED FINITE-ELEMENT METHODS WITH RECTANGULAR RAVIART-THOMAS ELEMENTS

# publications[].label
Mortar finite volume element approximations of second order elliptic problems

# publications[].label
Dynamic data driven simulations in stochastic environments

# publications[].label
HOMOGENEOUS DIFFERENCE SCHEMES FOR ONE-DIMENSIONAL PROBLEMS WITH GENERALIZED SOLUTIONS

# publications[].label
Superconvergence of the gradient for quadratic triangular finite elements

# publications[].label
Natural and postprocessed superconvergence in semilinear problems

# publications[].label
Parabolic Finite Volume Element Equations in Nonconvex Polygonal Domains

# publications[].label
Multiscale HDG model reduction method for flows in heterogeneous porous media

# publications[].label
UNIFIED HYBRIDIZATION OF DISCONTINUOUS GALERKIN, MIXED, AND CONTINUOUS GALERKIN METHODS FOR SECOND ORDER ELLIPTIC PROBLEMS

# publications[].publisher
Society for Industrial & Applied Mathematics (SIAM)

# publications[].label
A Modified Finite Volume Approximation of Second-Order Elliptic Equations with Discontinuous Coefficients

# publications[].publisher
Society for Industrial & Applied Mathematics (SIAM)

# publications[].label
Stabilized discontinuous finite element approximations for Stokes equations

# publications[].label
ADAPTIVE TECHNIQUES FOR TIME-DEPENDENT PROBLEMS

# publications[].label
CONVERGENCE OF FINITE-DIFFERENCE SCHEMES FOR GENERALIZED SOLUTIONS OF POISSONS-EQUATION

# publications[].label
Multiplier spaces for the mortar finite element method in three dimensions

# publications[].publisher
Society for Industrial & Applied Mathematics (SIAM)

# publications[].label
Parabolic finite element equations in nonconvex polygonal domains

# publications[].label
ORDER OF CONVERGENCE OF FINITE-DIFFERENCE SCHEMES FOR WEAK SOLUTIONS OF THE HEAT-CONDUCTION EQUATION FOR AN ANISOTROPIC NONUNIFORM MEDIUM

# publications[].label
Galerkin FEM for Fractional Order Parabolic Equations with Initial Data in H-s, 0 <= s <= 1

# publications[].label
EVALUATION OF CONVERGENCE OF DIFFERENTIAL SCHEMES FOR PARABOLIC EQUATIONS WITH GENERALIZED SOLUTIONS

# publications[].label
A note on data-driven contaminant simulation

# publications[].label
VARIATIONAL FORMULATION OF PROBLEMS INVOLVING FRACTIONAL ORDER DIFFERENTIAL OPERATORS

# publications[].label
A least-squares approach based on a discrete minus one inner product for first order systems

# publications[].label
Application of the method of splitting for solving the axisymmetric problem of mesometeorology.

# publications[].label
PRECONDITIONING INDEFINITE SYSTEMS ARISING FROM MIXED FINITE-ELEMENT DISCRETIZATION OF 2ND-ORDER ELLIPTIC PROBLEMS

# publications[].label
Postprocessing and higher order convergence of the mixed finite element approximations of biharmonic eigenvalue problems

# publications[].label
Least-squares streamline diffusion finite element approximations to singularly perturbed convection-diffusion problems

# publications[].label
Adaptive finite volume element method for convection-diffusion-reaction problems in 3-D

# publications[].label
APPLICATION OF EXACT DIFFERENCE-SCHEMES TO THE CONSTRUCTION AND STUDY OF DIFFERENCE-SCHEMES FOR GENERALIZED SOLUTIONS

# publications[].label
Domain decomposition algorithms for mixed methods for second order elliptic problems

# publications[].label
LOCAL REFINEMENT TECHNIQUES FOR ELLIPTIC PROBLEMS ON CELL-CENTERED GRIDS .1. ERROR ANALYSIS

# publications[].label
A PETROV-GALERKIN FINITE ELEMENT METHOD FOR FRACTIONAL CONVECTION-DIFFUSION EQUATIONS

# publications[].publisher
Society for Industrial & Applied Mathematics (SIAM)

# publications[].label
Generalized multiscale finite element method. Symmetric interior penalty coupling

# publications[].label
ERROR-ESTIMATES OF FINITE-DIFFERENCE SCHEMES IN LP-METRICS FOR PARABOLIC BOUNDARY-VALUE-PROBLEMS

# publications[].label
A MULTISCALE HDG METHOD FOR SECOND ORDER ELLIPTIC EQUATIONS. PART I. POLYNOMIAL AND HOMOGENIZATION-BASED MULTISCALE SPACES

# publications[].publisher
Society for Industrial & Applied Mathematics (SIAM)

# publications[].label
Almost optimal interior penalty discontinuous approximations of symmetric elliptic problems on non-matching grids

# publications[].label
On convergence of certain finite volume difference discretizations for 1D poroelasticity interface problems

# publications[].label
Difference schemes for the second boundary value problem of elasticity theory for domains with curvilinear boundaries

# publications[].label
Error analysis of semidiscrete finite element methods for inhomogeneous time-fractional diffusion

# publications[].label
THE CALCULATION OF LOGARITHMIC POTENTIAL

# publications[].label
CBS constants for multilevel splitting of graph-Laplacian and application to preconditioning of discontinuous Galerkin systems

# publications[].label
Some Error Estimates for the Finite Volume Element Method for a Parabolic Problem

# publications[].label
First-order system least squares for second-order partial differential equations: Part I

# publications[].label
APPROXIMATION OF PARABOLIC PROBLEMS ON GRIDS LOCALLY REFINED IN TIME AND SPACE

# publications[].label
On the balancing principle for some problems of Numerical Analysis

# publications[].label
Comparison Analysis of Two Numerical Methods for Fractional Diffusion Problems Based on the Best Rational Approximations of t on [0, 1]

# publications[].label
CONVERGENCE OF DIFFERENCE-SCHEMES FOR SOME AXISYMMETRIC PROBLEMS OF MATHEMATICAL PHYSICS IN CLASSES OF GENERALIZED SOLUTIONS

# publications[].label
FINITE-DIFFERENCES SCHEMES ON GRIDS WITH LOCAL REFINEMENT IN TIME AND SPACE FOR PARABOLIC PROBLEMS .1. DERIVATION, STABILITY, AND ERROR ANALYSIS

# publications[].label
A NUMERICAL STUDY OF THE HOMOGENEOUS ELLIPTIC EQUATION WITH FRACTIONAL BOUNDARY CONDITIONS

# publications[].label
Finite volume element approximations of nonlocal reactive flows in porous media

# publications[].label
FINITE-VOLUME METHODS WITH LOCAL REFINEMENT FOR CONVECTION-DIFFUSION PROBLEMS

# publications[].label
DIFFERENCE METHOD OF 2ND-ORDER ACCURACY FOR AXISYMMETRICAL PROBLEMS OF ELASTICITY

# publications[].label
DOMAIN DECOMPOSITION TYPE ITERATIVE TECHNIQUES FOR PARABOLIC PROBLEMS ON LOCALLY REFINED GRIDS

# publications[].publisher
Society for Industrial & Applied Mathematics (SIAM)

# publications[].label
BOUNDARY ELEMENT METHOD FOR 2D PROBLEMS OF IDEAL FLUID-FLOWS WITH FREE BOUNDARIES

# publications[].label
Finite volume methods for convection-diffusion problems

# publications[].publisher
Society for Industrial & Applied Mathematics (SIAM)

# publications[].label
Iterative solution of a coupled mixed and standard Galerkin discretization method for elliptic problems

# publications[].label
INVESTIGATION OF TEMPERATURE-FIELDS OF STEEL METALLURGICAL BLOCK BY THE FINAL ELEMENTS METHOD

# publications[].label
Multiscale direction-splitting algorithms for parabolic equations with highly heterogeneous coefficients

# publications[].label
CONVERGENCE OF THE NET METHOD AND STRAIGHT-LINE METHOD FOR MULTIDIMENSIONAL PROBLEMS OF THE MATHEMATICAL PHYSICS IN CLASSES OF GENERALIZED SOLUTIONS

# publications[].label
FINITE-DIFFERENCE SCHEMES ON GRIDS WITH LOCAL REFINEMENT IN TIME AND IN SPACE FOR PARABOLIC PROBLEMS - OPTIMAL ORDER 2-GRID ITERATIVE METHODS

# publications[].label
Robust Two-level Domain Decomposition Preconditioners for High-contrast Anisotropic Flows in Multiscale Media

# publications[].label
Robust Multiscale Iterative Solvers for Nonlinear Flows in Highly Heterogeneous Media

# publications[].label
Some new error estimates of a semidiscrete finite volume element method for a parabolic integro-differential equation with nonsmooth initial data

# publications[].publisher
Society for Industrial & Applied Mathematics (SIAM)

# publications[].label
Fast numerical upscaling of heat equation for fibrous materials

# publications[].label
PREOPERATIVE RADIOCHEMOTHERAPY WITH CAPECITABINE VERSUS RADIOTHERAPY ALONE IN PATIENTS WITH LOCALLY ADVANCED RECTAL CANCER

# publications[].label
FINITE-DIFFERENCE SCHEME FOR PARABOLIC PROBLEMS ON COMPOSITE GRIDS WITH REFINEMENT IN TIME AND SPACE

# publications[].publisher
Society for Industrial & Applied Mathematics (SIAM)

# publications[].label
FINITE-DIFFERENCE NUMERICAL-SOLUTION OF SOME AXIALLY-SYMMETRIC PROBLEMS IN THE MATHEMATICAL-THEORY OF ELASTICITY

# researcherOn[].label
Subgrid Discontinous Galerkin Approximations of Brinkman Equation With Highly Heterogeneous Coefficients

# researcherOn[].awardedBy.label
National Science Foundation - (Arlington, Virginia, United States)

# researcherOn[].label
Advanced Discretization Techniques and Applications (ADTA)

# researcherOn[].awardedBy.label
National Science Foundation - (Arlington, Virginia, United States)

# researcherOn[].label
Adaptive Multiscale Simulation Framework for Reduced-Order Modeling in Perforated Domains

# researcherOn[].awardedBy.label
National Science Foundation - (Arlington, Virginia, United States)

# streetAddress
Texas A&M University; Mathematics; 3368 TAMU

# etdChairOf[].label
Ginting, Victor Eralingga (2005-08). Computational upscaled modeling of heterogeneous porous media flow utilizing finite volume method. Doctoral Dissertation.

# etdChairOf[].label
Dobrev, Veselin Asenov (2009-05). Preconditioning of discontinuous Galerkin methods for second order elliptic problems. Doctoral Dissertation.

# etdChairOf[].label
Zhou, Zhi (2015-07). Numerical Analysis of Fractional-Order Differential Equations with Nonsmooth Data. Doctoral Dissertation.

# etdChairOf[].label
Mao, Youli (2014-06). Geometric Multigrid Methods for Flow Problems in Highly Heterogeneous Porous Media. Doctoral Dissertation.

# etdChairOf[].label
Moon, Minam (2015-06). Generalized Discontinuous Multiscale Methods for Flows in Highly Heterogeneous Porous Media. Doctoral Dissertation.

# etdChairOf[].label
Kang, Seul Ki (2012-10). Multiscale Simulation and Uncertainty Quantification Techniques for Richards' Equation in Heterogeneous Media. Doctoral Dissertation.