ISC Technical Reports Series

1994 • 1995 • 1996 • 1997 • 1998 • 1999 • 2000 • 2001 • 2002 • 2003 • 2004 • 2005 • 2006 • 2007 • 2008

 2009 • 2010 • 2011 • 2012 • 2013

2013

• ISC-Preprint-2013-01: G.M.M. Reddy, R.K. Sinha, Ritz-Volterra Reconstructions and A Posteriori Error Analysis of Finite Element Method for Parabolic Integro-differential Equations
  

2012

• ISC-Preprint-2012-04: Y. Efendiev, J. Galvis, M.S. Pauletti, Multiscale finite element methods for flows on rough surfaces
  
• ISC-Preprint-2012-03: B. Jin, R. Lazarov, Z. Zhou, Error estimates for a semidiscrete finite element method for fractional order parabolic equations
  
• ISC-Preprint-2012-02: Y. Efendiev, J. Galvis, P.S. Vassilevski, Multiscale spectral AMGe solvers for high-contrast flow problems
  
• ISC-Preprint-2012-01: V. Calo, Y. Efendiev, J. Galvis, Asymptotic expansions for high-contrast elliptic equations
  

2011

• ISC-Preprint-2011-06: Y. Efendiev, J. Galvis, F. Thomines, A systematic coarse-scale model reduction technique for parameter-dependent flows in highly heterogeneous media and its applications
  
• ISC-Preprint-2011-05: Y. Efendiev, J. Galvis, R.D. Lazarov, S. Margenov, J. Ren, Multiscale domain decomposition preconditioners for anisotropic high-contrast problems
  
• ISC-Preprint-2011-04: Y. Efendiev, J. Galvis, S. Ki Kang, R.D. Lazarov, Robust multiscale iterative solvers for nonlinear flows in highly heterogeneous media
  
• ISC-Preprint-2011-03: Y. Efendiev, J. Galvis, R. Lazarov, J. Willems, Robust solvers for symmetric positive definite operators and weighted Poincaré inequalities
• ISC-Preprint-2011-02: E.T. Chung, Y. Efendiev, R.L. Gibson, Jr., An energy-conserving discontinuous multiscale finite element method for the wave equation in heterogeneous media
  
• ISC-Preprint-2011-01: G. Chatzigeorgiou, Y. Efendiev, D.C. Lagoudas, Homogenization of aligned "fuzzy fiber" composites
  

2010

• ISC-10-05, O. Iliev, R. Lazarov, and J. Willems, Variational Multiscale Finite Element Method for Flows in Highly Porous Media
  
• ISC-10-04, A. Salgado, Approximation Techniques for Incompressible Flows with Heterogeneous Properties
  
• ISC-10-03, Chatzipantelidis, Lazarov R.D., and   Thomee V., Some Error Estimates for the Lumped Mass Finite
  Element Method for a Parabolic Problem
  
• ISC-10-02, Iliev, O. P.,  Lazarov, R. D.,  and  Willems, J., Fast Numerical Upscaling of Heat Equation for Fibrous Materials
  
• ISC-10-01, Iliev, O. P.,  Lazarov, R. D.,  and  Willems, J., Discontinuous Galerkin Subgrid Finite Element Method for Heterogeneous Brinkman’s Equations

  
  

2009

• ISC-09-05 Efendiev, Y., Galvis, J., and Wu, X.H., Multiscale finite element and domain decomposition methods for high-contrast problems using local spectral basis functions
  
• ISC-09-04 Galvis, and J. Efendiev, Y., Domain decomposition preconditioners for multiscale flows in high contrast media
  
• ISC-09-03  Galvis, J., and Efendiev, Y.,  Domain decomposition preconditioners for multiscale problems
  
• ISC-09-02  Galvis, J., and Efendiev, Y.,  A domain decomposition preconditioner for multiscale high-contrast problems
  
• ISC-09-01 Efendiev, Y.,  Galvis, J., and Vassilevski, P.S., Spectral element agglomerate algebraic multigrid methods for elliptic problems with high-contrast coefficients
  

2008

• ISC-08-06 Akella, S., Datta-Gupta, A., and Efendiev, Y.,  Coarse-scale constrained ensemble Kalman filter for subsurface characterization
  

• ISC-08-05 Jiang, L., and Douglas C.C.,  Analysis of 4D Variational Data Assimilation and Its Application
  

• ISC-08-04 Guermond, J-L., and Popov, B.,  An optimal L1 minimization algorithm for stationary
  Hamilton-Jacobi equations
  

• ISC-08-03 Ewing, R., Iliev, O., Lazarov, R., Rybak, I., and Willems, J.,  A simplified method for upscaling composite materials with high contrast of the conductivity
  

• ISC-08-02 Jiang, L., Efendiev, Y., and Mishev, I.,  Mixed multiscale finite element methods using
  approximate global information based on partial upscaling
  

• ISC-08-01 Efendiev, Y., Datta-Gupta, A., Ma, X., and Mallick, B.,  Efficient sampling techniques for uncertainty quantification in history matching
  

2007

• ISC-07-01-MATH Kanschat, G., Robust smoothers for high order discontinuous Galerkin discretizations of advection-diffusion problems
• ISC-07-02-MATH Dobrev, V., Lazarov, R. and Zikatanov, L., Preconditioning of symmetric interior penalty discontinuous Galerkin FEM for elliptic problems
• ISC-07-03-MATH Bangerth, W.,  A framework for the adaptive finite element solution of large inverse problems
• ISC-07-04-MATH Bangerth, W. and Kayser-Herold, O., Data structures and requirements for hp finite element software
• ISC-07-05-MATH Kanschat, G., Divergence-free discontinuous Galerkin schemes for the Stokes equations and the MAC scheme
  
• ISC-07-06-MATH Bangerth, W. and Joshi, A., Adaptive finite element methods for the solution of inverse problems in optical tomography
• ISC-07-07-MATH Dobrev, V., Preconditioning of discontinuous galerkin methods for second order elliptic problems
• ISC-07-08-MATH Chatzipantelidis, P. , Lazarov, R. and Thomee, V., Parabolic finite volume element equations in nonconvex polygonal domains
• ISC-07-09-MATH Hoppe, R., Kanschat, G. and Warburton, T., Convergence analysis of an adaptive Interior Penalty Discontinuous Galerkin method

2006

• ISC-06-01-MATH Santos, J. and Sheen, D., Finite element methods for the simulation of waves in composite saturated poroviscoelastic media
• ISC-06-02-MATH Bangerth, W., Hartmann, R. and Kanschat, G., deal.II-A general purpose object oriented finite element library
• ISC-06-03-MATH Santos, J. and Sheen, D., Derivation of a Darcy's law for composite porous solids using a homogenization procedure
• ISC-06-04-MATH Zyserman, F.I. and Santos, J., Analysis of the numerical dispersion of waves in saturated poroelastic media
• ISC-06-05-MATH Christov, I. and Popov, B., A Jiang–Tadmor Scheme on Unstructured Triangulations
  

2005

• ISC-05-01-MATH Guermond, J.-L., Nonstandard nonconforming approximation of the strokes problem, I: Periodic boundary conditions
• ISC-05-02-MATH Ern, A., and Guermond, J.-L., Discontinous galerkin methods for Friedrichs' symmetric systems. I. General Therory
• ISC-05-03-MATH Sinha, R.K., Ewing, R.E., and Lazarov, R.D., Mixed finite element approximations of parabolic integro-differential equations with nonsmooth initial data
• ISC-05-04-MATH Lazarov, R.D., and Ye, X., Stabilized discontinuous finite element approximations for Stokes equations
• ISC-05-05-MATH Santos, J., Efendiev, Y., Guarracino, L., Hydraulic conductivity estimation in partially saturated soils using the adjoint method
• ISC-05-06-MATH Fadimba, K. B., Error analysis for a Galerkin finite element method applied to a coupled nonlinear degenerate system of advection-diffusion equations
• ISC-05-07-MATH Ern, A., Guermond, J.-L., and Caplain, G., An intrinsic criterion for the bijectivity of Hilbert operators related to Friedrichs' systems
• ISC-05-08-MATH Ern, A. and Guermond, J.-L., Discontinuous Galerkin methods for Friedrichs' systems. Part II. Second-order elliptic PDE's
• ISC-05-09-MATH Efendiev, Y., Jiang, L., and Pankov, A., Individual homogenization of nonlinear parabolic operators

2004

• ISC-04-01-MATH Y. Wang, Overlapping Schwarz preconditioner for the mixed formulation of plane elasticity
• ISC-04-02-MATH J.E. Santos, C.L. Ravazzoli, P.M. Gauzellino, and J.M. Carcione, Numerical simulation of ultrasonic waves in reservoir rocks with patchy saturation and fractal petrophysical properties
• ISC-04-03-MATH J.Geiser, R3T: Radioactive-retardation-reaction-transport-program for the simulation of radioactive waste disposals
• ISC-04-04-MATH A.B. Andreev, R.D. Lazarov, and M.R. Racheva, Postprocessing and higher order convergence of mixed finite element approximations of biharmonic eigenvalue problems
• ISC-04-05-MATH C.L. Ravazzoli and J.E. Santos, A theory for wave propagation in porous rocks saturated by two-phase fluids under variable pressure conditions
• ISC-04-06-MATH P. Chatzipantelidis, V. Ginting, and R.D. Lazarov, A finite volume element method for a nonlinear elliptic problemA theory for wave propagation in porous rocks saturated by two-phase fluids under variable pressure conditions
• ISC-04-07-MATH V. Ginting, Computational upscaled modeling of heterogeneous porous media flow utilizing finite volume method
• ISC-04-08-MATH T. Kolev, Least-squares methods for computational electromagnetics
• ISC-04-09-MATH Y. Wang, Preconditioning for the mixed formulation of linear plane elasticity
• ISC-04-10-MATH G. Bencheva, Parallel implementation of a generalized marching algorithm
• ISC-04-11-MATH J. Santos, J. Geiser, and C.L. Ravazzoli, On the static and dynamic behavior of fluid saturated composite porous solids, a homogenization approach
• ISC-04-12-MATH A. Ern and J.-L. Guermond, Evaluation of the condition number in linear systems arising in finite element approximations
• ISC-04-13-MATH J.-L. Guermond, P. Minev, and J. Shen, An overview of projection methods for incompressible flows
• ISC-04-14-MATH J.-L. Guermond and S. Prudhomme, A definition for large-eddy-simulation approximations of the Navier-Stokes equations
• ISC-04-15-MATH R.D. Lazarov and L.T. Zikatanov, An exponential fitting scheme for general convection-diffusion equations on tetrahedral meshes
• ISC-04-16-MATH R.K. Sinha, R.E. Ewing, and R.D. Lazarov, Some new error estimates of a semidiscrete finite volume element method for parabolic integro-differential equation with nonsmooth initial data

2003

• ISC-03-01-MATH J.H. Bramble and J.E. Pasciak, A new approximation technique for DIV-CURL systems
• ISC-03-02-MATH G. Bencheva, Parallel performance comparison of three direct separable elliptic solvers
• ISC-03-03-MATH P. Chatzipantelidis, R.D. Lazarov, and V.Thomee, Error estimates for the finite volume element method for parabolic equations in convex polygonal domains
• ISC-03-04-MATH P. Chatzipantelidis and R.D. Lazarov, Error estimates for the finite volume element method for elliptic PDE's in nonconvex polygonal domains
• ISC-03-05-MATH V. Ginting, R. Ewing, Y. Efendiev, and R. Lazarov, Upscaled modeling in multiphase flow applications
• ISC-03-06-MATH V. Ginting, Analyis of two-scale finite volume element method for elliptic problem

2002

• ISC-02-01-MATH R.D. Lazarov and P.S. Vassilevski, Numerical methods for convection-diffusion problems on general grids
• ISC-02-02-MATH S.Z. Tomov, Adaptive methods for finite volume approximations
• ISC-02-03-MATH T. Chernogorova, R.E. Ewing, O. Iliev, and R. Lazarov, On finite volume descretization of elliptic interface problems
• ISC-02-04-MATH J. Pasciak and J. Zhao, Overlapping Schwarz methods in H(curl) on polyhedral domains
• ISC-02-05-MATH J. Zhao, Analysis of Finite Element Approximation and Iterative Methods for Time-Dependent Maxwell Problems
• ISC-02-06-MATH R.D. Lazarov and S.D. Margenov, On a two-level parallel MIC(0) preconditioning of Crouzeix-Raviart non-conforming FEM systems
• ISC-02-07-MATH V. Dobrev, R.E. Ewing, R.D. Lazarov and J. Pasciak, Numerical study of the performance of preconditioners based on algebraic multigrid method and approximate sparse inverses

2001

• ISC-01-01-MATH C. Bacuta, Interpolation between subspaces of Hilbert spaces and applications to shift theorems for elliptic boundary value problems and finite element methods
• ISC-01-02-MATH T. Kostova, An explicit third-order numerical method for size-structured population equations
• ISC-01-03-MATH C. Kim, On iteration and approximation methods for anisotropic problems
• ISC-01-04-MATH A. Kunoth and A. Kurdila, Wavelet techniques for saddle point problems in optimal control
• ISC-01-05-MATH R.D. Lazarov, J.E. Pasciak, J. Schoberl, and P.S. Vassilevski, Almost optimal interior penalty discontinuous approximations of symmetric elliptic problems on non-matching grids
• ISC-01-06-MATH R. Ewing, A. Ibragimov, and R.D. Lazarov, Domain decomposition algorithm and analytical simulation of coupled flow in reservoir/well system
• ISC-01-07-MATH R.D. Lazarov and S.Z. Tomov, A posteriori error estimates for finite volume element approximations of convection-diffusion-reaction equations
• ISC-01-08-MATH J.H. Bramble, J.E. Pasciak, and C. Bacuta, Using finite element tools in proving shift theorems for elliptic boundary value problems
• ISC-01-09-MATH C. Bacuta, J.H. Bramble, and J.E. Pasciak, New interpolation results and applications to finite element methods for elliptic boundary value problems
• ISC-01-10-MATH J. Schoberl, Commuting quasi-interpolation operators for mixed finite elements
• ISC-01-11-MATH R.E. Ewing, Y. Lin, P. Luo, J. Wang, and S. Zhang, L<infinity>-error estimates and superconvergence in maximum norm or mixed finite element methods for nonfickian flows in porous media

2000

• ISC-00-01-MATH I.S. Akhundov, Limit theorems on ordered random vectors
• ISC-00-02-MATH R.D. Lazarov and S.Z. Tomov, Adaptive finite volume element method for convection-diffusion-reaction problems in 3-D
• ISC-00-03-MATH T. Chernogorova, R.E. Ewing, O. Iliev, and R.D. Lazarov, On the discretization of interface problems with perfect and imperfect contact
• ISC-00-04-MATH R.D. Lazarov, S.Z. Tomov and P.S. Vassilevski, Interior penalty discontinuous approximations of elliptic problems
• ISC-00-05-MATH A. Ibragimov and P. Valko, On productivity index in pseudo-steady and boundary-dominated flow regimes
• ISC-00-06-MATH R.E. Ewing, Y. Lin, T. Sun, J. Wang, and S. Zhang, Sharp L²-error estimates and superconvergence of mixed finite element methods for nonFickian flows in porous media
• ISC-00-07-MATH C. Kim, R.D. Lazarov, J. Pasciak, and P. Vassilevski, Multiplier spaces for the mortar finite element method in three dimensions
• ISC-00-08-MATH R.E. Ewing, T. Lin, and Y. Lin, On the accuracy of the finite volume element method based on piecewise linear polynomials
• ISC-00-09-MATH R.E. Ewing, R.D. Lazarov, H. Djidjev, M. Vardi, and S. Tomov, Final Report: Partitioning algorithms and their application to massively parallel computations of multiphase fluid flows in porous media, EPA Grant # R 825207
• ISC-00-10-MATH S.Z. Tomov, Tool-box for parallel adaptive computations of 3-D convection-diffusion problems using domain decomposition

1999

• ISC-99-01-MATH R.E. Ewing, O. Iliev, and R.D. Lazarov, A modified finite volume approximation of second-order elliptic equations with discontinuous coefficients
• ISC-99-02-MATH R.D. Lazarov and P.S. Vassilevski, Least-squares streamline diffusion finite element approximations to singularly perturbed convection-diffusion problems
• ISC-99-03-MATH R.D. Lazarov, J.E. Pasciak and P.S. Vassilevski, Iterative solution of a combined mixed and standard Galerkin discretization method for elliptic problems
• ISC-99-04-MATH R.E. Lazarov, J.E. Pasciak, and S.Z. Tomov, Error control, local grid refinement, and efficient solution algorithms for sinularly perturbed problems
• ISC-99-05-MATH  J. H. Bramble, R. D. Lazarov, and J. E. Pasciak, Least squares methods for linear elasticity based on a discrete minus one inner product
• ISC-99-06-MATH H. Lu, Stair matrices and their generalizations with applications to iterative methods II: Iteration arithmetic and preconditionings
• ISC-99-07-MATH  R. D. Lazarov, J. E. Pasciak, and P. S. Vassilevski, Coupling mixed and finite volume discretizations of convection-diffusion-reaction equations on non-matching grids
• ISC-99-08-MATH  R. E. Ewing, R. D. Lazarov, T. Lin, and Y. Lin, Mortar finite volume element approximations of second-order elliptic problems 
• ISC-99-09-MATH  R. E. Ewing, H. Djidjev, R. D. Lazarov, and M. Vardi, Partitioning algorithms and their application to massively parallel computations of mixed finite fluid flows in porous media 

1998

1997

1996

1995

1994

• ISC-94-01-MATH J.G. Wade, An inverse problem from petroleum and hydrology applications (in preparation) 
• ISC-94-02-MATH R.E. Ewing, Y.A. Kuznetsov, R.D. Lazarov, and S. Maliassov, Substructuring preconditioning for finite element approximations of second order elliptic problems. I. Nonconforming linear elements for the Poisson equation in a parallelepiped 
• ISC-94-03-MATH R.D. Lazarov, I.D. Mishev, and P.S. Vassilevski, Finite volume methods for convection-diffusion problems 
• ISC-94-04-MATH H. Chen, R.E. Ewing, and R.D. Lazarov, Superconvergence of the mixed finite element approximations to parabolic equations 
• ISC-94-05-MATH R.E. Ewing, Y.A. Kuznetsov, R.D. Lazarov, and S. Maliassov, Preconditioning of nonconforming finite element approximations of second order elliptic problems 
• ISC-94-06-MATH Z. Chen, R.E. Ewing, and R.D. Lazarov, Domain decomposition algorithms for mixed methods for second order elliptic problems 
• ISC-94-07-MATH Z. Chen, R.E. Ewing, and M. Espedal, Multiphase flow simulation with various boundary conditons 
• ISC-94-08-MATH H. Chen, R.E. Ewing, and R.D. Lazarov, Superconvergence of mixed finite element methods for parabolic problems with nonsmooth initial data 
• ISC-94-09-MATH J.H. Bramble, J.E. Pasciak, and A.T. Vassilev, Analysis of the inexact Uzawa algorithm for saddle point problems 
• ISC-94-10-MATH Z. Chen and R.E. Ewing, Stability and convergence of a finite element method for reactive transport in groundwater 
• ISC-94-11-MATH Z. Chen, M. Espedal, and R.E. Ewing, Continuous-time finie element analysis of multiphase flow in groundwater hydrology 
• ISC-94-12-MATH I.D. Mishev, Preconditioning cell-centered finite difference equations on grids with local refinement 
• ISC-94-13-MATH J. Shen, Mixed finite element methods on distorted rectangular grids 
• ISC-94-14-MATH Z. Chen, R.E. Ewing, Y.A. Kuznetsov, R.D. Lazarov, and S. Maliassov, Multilevel precondtioners for mixed methods for second order elliptic problems 
• ISC-94-15-MATH Z.. Chen, Expanded mixed finite element methods for quasilinear second order elliptic problems II 
• ISC-94-16-MATH P.F. Stiller, C.A. Asmuth, and C.S. Wan, A general theory of single view recognition-the afine case-with applications ot indexing image databases for content based retrieval 
• ISC-94-17-MATH Z. Chen, D.Y. Kwak, and Y.J. Yon, Multigrid algorithms for nonconforming and mixed methods for symmetric and nonsymmetric problems 
• ISC-94-18-MATH J.H. Bramble, R.D. Lazarov, and J.E. Pasciak, A least-squares approach based on a discrete minus one inner product for first order systems 
• ISC-94-19-MATH S. Maliassov, Substructuring preconditioning for finite element approximations of second order elliptic problems. II. Mixed method for an elliptic operator with scalar tensor 
• ISC-94-20-MATH J.H. Bramble and X. Zhang, Multigrid methods for the biharmonic problem discretized by conformingC¹ finite elements on nonnested meshes

For more information and preprint submission, please contact - Kristy Delvo-Vela (kristy@math.tamu.edu)