Main
Research
Team
Teaching
Resume
Publications
Grants
B. M. Riviere


CAAM technical reports are found here

Some selected publications

  1. V. Girault, G. Kanschat and B. Riviere. "On the coupling of incompressible Stokes or Navier-Stokes and Darcy flows through porous media". In book "Modelling and Simulation in Fluid Dynamics in Porous Media", ed. Ferreira, Barbeiro, Pena, Wheeler, Conference proceedings, 2012.
  2. J. Young and B. Riviere. "The development of a computational, poroelastic model of intestinal edema". Proceedings of the ECCOMAS Thematic International Conference on Simulation and Modeling of Biological Flows (SIMBIO 2011) September 21--23, 2011, VUB, Brussels, Belgium.
  3. B. Riviere, P. Chidyagwai, I. Mishev, "On the coupling of finite volume and discontinuous Galerkin for reservoir simulation problems". Proceedings of the SPE conference, 2011.
  4. Y. Epshteyn and B. Riviere, "Fully implicit discontinuous Galerkin scheme for two-phase flow". Proceedings of the MSRI workshop "The Legacy of Ladyzhenskaya and Oleinik", 2006.
  5. Y. Vodovotz et al. Mathematical simulations of sepsis and trauma, Proceedings of the 11th Congress of the European Shock Society, pp. 151-159, 2005.
  6. B. Riviere. "Numerical study of a discontinuous Galerkin method for incompressible two-phase flow", ECCOMAS Proceedings, 2004.
  7. M.F. Wheeler, M. Peszynska and B. Riviere. "Computational science issues in modeling oil and gas production". Proceedings of the 8th European Conference on the Mathematics of Oil Recovery- ECMOR VIII, publisher European Association of Geoscientists and Engineers (EAGE), 2002.
  8. M.F. Wheeler, S. Sun, O. Eslinger and B. Riviere, "Discontinuous Galerkin method for modeling flow and reactive transport in porous media". In Wendland (ed), Analysis and Simulation of Multifield Problem, Springer-Verlag, pp. 37-58.
  9. B. Riviere; E. Jenkins. "In Pursuit of Better Models and Simulations, Oil Industry Looks to the Math Sciences". SIAM News, January/February 2002.
  10. B. Riviere and M.F. Wheeler. "Miscible displacement in porous media". In Computational Methods in Water Resources, Developments in Water Science, Hassanizadeh S.M., Schotting R.J., Gray W.G., Pinder G.F. (eds), Elsevier, pp 907-914, 2002. postscript, pdf.
  11. M. Guillot, B. Riviere and M.F. Wheeler. "Discontinuous Galerkin methods for mass conservation equations for environmental modeling". In Computational Methods in Water Resources, Developments in Water Science, Hassanizadeh S.M., Schotting R.J., Gray W.G., Pinder G.F. (eds), Elsevier, pp 939-946, 2002. postscript, pdf.
  12. E. Jenkins; B. Riviere. "Geoscientists Meet in Colorado to Explore Increasingly Complex, Multidisciplinary Problems", SIAM News, 24 (9) November 2001.
  13. B. Riviere, M.F. Wheeler and E. Jenkins. "Locally conservative algorithms for flow". Proceedings of the Department of Defence User's Group Conference, 2001.
  14. C. Dawson; B. Riviere and M.F. Wheeler. "Discontinuous Galerkin Methods for Flow and Reactive Transport". Proceedings of the Department of Defense. User's Group Conference, Albuquerque, June 5-8, 2000 (available on CD-ROM).

Some technical reports

  1. S. Ozisik, B. Riviere and T. Warburton. "On the constants in inverse inequalities in L2", technical report TR10-19.
  2. A. Cesmelioglu and B. Riviere. "Analysis of weak solutions for the fully coupled Stokes-Darcy-Transport problem", technical report TR09-38.
  3. J. Proft and B. Riviere. "Analytical and numerical study of diffusive fluxes for transport equations with near-degenerate coefficients". TR-MATH 06-07, Pittsburgh, 2006.
  4. B. Riviere. "The DGIMPES Model in IPARS: Discontinuous Galerkin for Two-Phase Flow Integrated in a Reservoir Simulator Framework". TICAM Report 02-29, Austin 2002.
  5. M. Guillot, B. Riviere and M.F. Wheeler. "An Implementation of a Discontinuous Galerkin Discretization of the Mass Conservation Equations in CEQUAL-ICM". TICAM Report 02-13, Austin 2002.
  6. B. Riviere and M.F. Wheeler. "Discontinuous Finite Element Methods for Acoustic and Elastic Wave Problems. Part I: Semidiscrete Error Estimates", TICAM Report 01-02, Austin, 2001.
  7. B. Riviere and M.F. Wheeler. "Optimal Error Estimates for Discontinuous Galerkin Methods Applied to Linear Elasticity Problems", TICAM Report 00-30, Austin, 2000.
  8. B. Riviere; K. Banas and M.F. Wheeler. "hp 3D Flow Simulations with Discontinuous Galerkin Methods", TICAM Report 00-29, Austin, 2000.
  9. B. Riviere and M.F. Wheeler. "A Posteriori Error Estimates and Mesh Adaptation Strategy for Discontinuous Galerkin Methods Applied to Diffusion Problems", TICAM Report 00-10, Austin, 2000.
  10. B. Riviere; M.F. Wheeler and C. Baumann. "Part II. Discontinuous Galerkin Method Applied to a Single Phase Flow in Porous Media", TICAM Report 99-10, Austin, 1999.

View with abstract (not updated)