Scholars@Duke

• Background
• 

  Education, Training, & Certifications

  • Ph.D., Cornell University 1975
  • B.S., The University of Chicago 1972
• 

  Previous Appointments & Affiliations

  • Professor with Tenure, Mathematics, Trinity College of Arts & Sciences 1994 - 2012
  • Professor of Civil and Environmental Engineering, Civil and Environmental Engineering, Pratt School of Engineering 2003 - 2006
  • Associate Professor with Tenure, Mathematics, Trinity College of Arts & Sciences 1991 - 1994
• Research
• 

  Selected Grants

  • Multiscale Modeling and Simulation in Scientific Inference: Hierarchical Methods for Parameter Estimation in Porous Flow awarded by  National Science Foundation 1999 - 2002
  • Application of Distributed Adaptive Mesh Refinement Techniques to Problems Involving Diffusion awarded by  National Science Foundation 1998 - 2001
  • Multidimensional Problems in Dynamic Plasticity awarded by  National Science Foundation 1995 - 1999
  • High Resolution 3D Simulation for Surfactant Enhanced Aquifer Remediation awarded by Army Research Office 1995 - 1999
  • High Resolution 3D Simulation for Surfactant Enhanced Aquifer Remediation awarded by Army Research Office 1995 - 1998
  • Mathematical Sciences Computing Research Environments awarded by  National Science Foundation 1995 - 1997
  • High Resoulution 3D Simulation for Surfactant Enhanced Aquifer Remediation awarded by Army Research Office 1996 - 1997
  • Adaptive Local Grid Refinement for Compositional Reservoir Simulation awarded by  National Science Foundation 1994 - 1996
  • High Resolution Numerical Methods for Compressible Multi-phase Flow in Hierarchial Porous Media awarded by  National Science Foundation 1992 - 1996
  • High Resolution Numerical Methods Compressible Multi-phase Flow in Hierarchial Porous Media awarded by Department of Energy 1992 - 1995
  • High Resolution Numerical Methods for Compressible Multi-Phase Flow in Hierarchial Porus Media awarded by Department of Energy 1992 - 1995
  • High Resolution Numerical Methods for Compressible Multi-Phase Flow in Hierarchical Porous Media awarded by Department of Energy 1992 - 1995
  • High Resolution Numerical Methods for Compressible Multi-phase Flow in Hierarchial Porus Media awarded by  National Science Foundation 1992 - 1995
• Publications & Artistic Works
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  Selected Publications

  • Academic Articles

    • Trangenstein, J. A., and C. Kim. “Operator splitting and adaptive mesh refinement for the Luo-Rudy I model.” Journal of Computational Physics 196, no. 2 (May 20, 2004): 645–79. https://doi.org/10.1016/j.jcp.2003.11.014.
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    • Trangenstein, J. A. “Multi-scale iterative techniques and adaptive mesh refinement for flow in porous media.” Advances in Water Resources 25, no. 8–12 (August 1, 2002): 1175–1213. https://doi.org/10.1016/S0309-1708(02)00053-2.
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    • Bi, Zhuoxin, David Higdon, Herbert Lee, and J. Trangenstein. “Upscaling Tensorial Permeability Fields Based on {G}Gaussian Markov Random Field Models and the Hybrid Mixed Finite Element Method (Submitted).” Spe Journal, 2002.
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    • Miller, Cass T., George Christakos, Paul T. Imhoff, John F. McBride, Joseph A. Pedit, and John A. Trangenstein. “Multiphase flow and transport modeling in heterogeneous porous media: Challenges and approaches.” Advances in Water Resources 21, no. 2 (1998): 77–120. https://doi.org/10.1016/S0309-1708(96)00036-X.
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    • Garaizar, F. X., and J. Trangenstein. “Adaptive mesh refinement and front-tracking for shear bands in an antiplane shear model.” Siam J. Sci. Comput. (Usa) 20, no. 2 (1998): 750–79. https://doi.org/10.1137/S1064827597319271.
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    • Hornung, R. D., and J. A. Trangenstein. “Adaptive mesh refinement and multilevel iteration for flow in porous media.” Journal of Computational Physics 136, no. 2 (September 15, 1997): 522–45. https://doi.org/10.1006/jcph.1997.5779.
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    • Garaizar, F. X., and J. Trangenstein. “Front Tracking for Shear Bands in an Antiplane Shear Model.” Journal of Computational Physics 131, no. 1 (1997): 54. https://doi.org/10.1006/jcph.1996.5456.
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    • Khan Sameer, A., A. Pope Gary, and A. Trangenstein John. “Micellar/polymer physical-property models for contaminant cleanup problems and enhanced oil recovery.” Transport in Porous Media 24, no. 1 (1996): 35–79.
    • Trangenstein, John A. “Adaptive Mesh Refinement for Wave Propagation in Nonlinear Solids.” Siam Journal on Scientific Computing 16, no. 4 (July 1995): 819–39. https://doi.org/10.1137/0916048.
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    • Trangenstein John, A. “Second-order Godunov algorithm for two-dimensional solid mechanics.” Computational Mechanics 13, no. 5 (1994): 343–59.
    • Trangenstein, J. A., and R. B. Pember. “Numerical algorithms for strong discontinuities in elastic-plastic solids.” Journal of Computational Physics 103, no. 1 (January 1, 1992): 63–89. https://doi.org/10.1016/0021-9991(92)90326-T.
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    • Trangenstein, John A., and Richard B. Pember. “The Riemann Problem for Longitudinal Motion in an Elastic-Plastic Bar.” Siam Journal on Scientific and Statistical Computing 12, no. 1 (January 1991): 180–207. https://doi.org/10.1137/0912010.
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    • Trangenstein, J. A. “A second-order algorithm for the dynamic response of soils.” Impact of Computing in Science and Engineering 2, no. 1 (January 1, 1990): 1–39. https://doi.org/10.1016/0899-8248(90)90002-R.
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    • Trangenstein, John A., and John B. Bell. “Mathematical Structure of Compositional Reservoir Simulation.” Siam Journal on Scientific and Statistical Computing 10, no. 5 (September 1989): 817–45. https://doi.org/10.1137/0910049.
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    • Trangenstein, J. A. “Customized minimization techniques for phase equilibrium computations in reservoir simulation.” Chemical Engineering Science 42, no. 12 (January 1, 1987): 2847–63. https://doi.org/10.1016/0009-2509(87)87051-3.
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    • Subramanian, G., J. A. Trangenstein, S. Mochizuki, and E. I. C. Shen. “EFFICIENT FLUID BEHAVIOR COMPUTATIONS IN A SEQUENTIAL COMPOSITIONAL RESERVOIR SIMULATOR.” Society of Petroleum Engineers of Aime, (Paper) Spe, 1987, 321–27.
    • Bell, John B., John A. Trangenstein, and Gregory R. Shubin. “Conservation Laws of Mixed Type Describing Three-Phase Flow in Porous Media.” Siam Journal on Applied Mathematics 46, no. 6 (December 1986): 1000–1017. https://doi.org/10.1137/0146059.
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    • Trangenstein John, A. “MINIMIZATION OF GIBBS FREE ENERGY IN COMPOSITIONAL RESERVOIR SIMULATION.” Society of Petroleum Engineers of Aime, (Paper) Spe, 1985, 233–46.
    • Trangenstein, John A. “A Finite Element Method for the Tricomi Problem in the Elliptic Region.” Siam Journal on Numerical Analysis 14, no. 6 (December 1977): 1066–77. https://doi.org/10.1137/0714073.
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    • More, J. J., and J. A. Trangenstein. “On the global convergence of Broyden's method.” Math. Comput. (Usa) 30, no. 135 (1976): 523–40.
• Scholarly, Clinical, & Service Activities
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  Service to the Profession

  • panel member : NSF CDI II-6. February 14, 2008  2008

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