Department of Mathematics
 Search | Help | Login | pdf version | printable version

Math @ Duke



Math HOME

.......................

Faculty

.......................

Publications of John A. Trangenstein    :chronological  combined  bibtex listing:

Books

  1. J. Trangenstein, Numerical Solution of Hyperbolic Partial Differential Equations (May, 2008), Cambridge University Press, ISBN 052187727X (http://www.cambridge.org/uk/catalogue/catalogue.asp?isbn=9780521877275.)  [abs]

Papers Published

  1. John Trangenstein, A Comparison of Two Numerical Methods for Shocks in One-Dimensional Elastic-Plastic Solids, Viscous Profiles and Numerical Methods for Shock Waves, Michael Shearer (editor), SIAM (1991).
  2. Trangenstein, JA, A Finite Element Method for the Tricomi Problem in the Elliptic Region, SIAM Journal on Numerical Analysis, vol. 14 no. 6 (December, 1977), pp. 1066-1077, Society for Industrial & Applied Mathematics (SIAM), ISSN 0036-1429 [Gateway.cgi], [doi]  [abs]
  3. Philip Colella and John Trangenstein, A Higher-Order Godunov Method for Modeling Finite Deformation in Elastic-Plastic Solids, Comm. Pure Appl. Math., vol. XLIV, (1991), pp. 41-100
  4. John B. Bell, Gregory R. Shubin and John Trangenstein, a Method for Reducing Numerical Dispersion in Two-Phase Black-Oil Reservoir Simulation, J. Comp. Phys., vol. 65, (1986), pp. 71-106
  5. Trangenstein, JA, A second-order algorithm for the dynamic response of soils, IMPACT of Computing in Science and Engineering, vol. 2 no. 1 (January, 1990), pp. 1-39, Elsevier BV [0899-8248(90)90002-R], [doi]  [abs]
  6. John Trangenstein, A Second-Order Algorithm for the Dynamic Response of Soils, IMPACT of Computing in Science and Engineering, vol. 2, (1990), pp. 1-39
  7. John Trangenstein, A Second-Order Godunov Algorithm for Two-Dimensional Solid Mechanics, Computational Mechanics, 13(1994) pp. 343-359.
  8. X. Garaizar and John Trangenstein, Adaptive Mesh Refinement and Front Tracking for shear bands in Granular Flow, SIAM Journal on Scientific Computing, vol. 20, (1999), pp. 750-779
  9. Garaizar, FX; Trangenstein, J, Adaptive mesh refinement and front-tracking for shear bands in an antiplane shear model, SIAM J. Sci. Comput. (USA), vol. 20 no. 2 (1998), pp. 750-779, Society for Industrial & Applied Mathematics (SIAM) [S1064827597319271], [doi]  [abs]
  10. Hornung, RD; Trangenstein, JA, Adaptive mesh refinement and multilevel iteration for flow in porous media, Journal of Computational Physics, vol. 136 no. 2 (September, 1997), pp. 522-545, Elsevier BV, ISSN 0021-9991 [Gateway.cgi], [doi]  [abs]
  11. R. Hornung, John Trangenstein, Adaptive Mesh Refinement and Multilevel Iteration for Flow in Porous Media, Journal of Computational Physics, 136, 522-545.
  12. Trangenstein, JA, Adaptive Mesh Refinement for Wave Propagation in Nonlinear Solids, SIAM Journal on Scientific Computing, vol. 16 no. 4 (July, 1995), pp. 819-839, Society for Industrial & Applied Mathematics (SIAM), ISSN 1064-8275 [Gateway.cgi], [doi]  [abs]
  13. John Trangenstein, Adaptive Mesh Refinement for Wave Propagation in Nonlinear Solids, SIAM J. Sci. Comput. 16(1995), 819-839.
  14. John Bell, Phillip Colella, John Trangenstein and Michael Welcome, Adaptive Methods for High Mach Number Reacting Flow, AIAA Eighth Computational Fluid Dynamics Conference, Honolulu, Hawaii, 1987.
  15. Trangenstein, J.A., Analysis of a model and sequential numerical method for thermal reservoir simulation, Proceedings of the Conference on the Mathematics of Oil Recovery (1992), pp. 359 -, Cambridge, Engl
  16. John Trangenstein, Analysis of a Model and Sequential numerical Method for Thermal Reservoir Simulation, Second European Conference on the Mathematics of Oil Recovery, P.R. King (ed.), Institute for Mathematics and Its Applications, Cambridge University, 1989
  17. Khan, S.A. and Trangenstein, J.A. and Horning, R.D. and Holing, Kent and Schilling, B.E.R., Application of adaptive mesh-refinement with a new higher-order method in simulation of a north sea micellar/polymer flood, Proceedings of the SPE Symposium on Reservoir Simulation (1994), pp. 531 - 543, San Antonio, TX, USA  [abs]
  18. S. A. Khan, K. Holing, R.D. Hornung, B.E.R. Schilling, John Trangenstein, Application of Adaptive Mesh-Refinement with a New Higher-Order Method in Simulation of a North Sea Micellar/Polymer Flood, SPE 29145, Proceedings of the SPE Symposium on Reservoir Simulation
  19. Bell, JB; Trangenstein, JA; Shubin, GR, Conservation Laws of Mixed Type Describing Three-Phase Flow in Porous Media, SIAM Journal on Applied Mathematics, vol. 46 no. 6 (December, 1986), pp. 1000-1017, Society for Industrial & Applied Mathematics (SIAM), ISSN 0036-1399 [Gateway.cgi], [doi]  [abs]
  20. John B. Bell, Gregory R. Shubin and John Trangenstein, Conservation Laws of Mixed Type Describing Three-Phase Flow in Porous Media, SIAM J. Applied Math., vol. 46, (1986), pp. 1000-1017
  21. Trangenstein, JA, Customized minimization techniques for phase equilibrium computations in reservoir simulation, Chemical Engineering Science, vol. 42 no. 12 (January, 1987), pp. 2847-2863, Elsevier BV, ISSN 0009-2509 [Gateway.cgi], [doi]  [abs]
  22. John Trangenstein, Customized Minimization Techniques for Phase Equilibrium Computations in Reservoir Simulation, Chemical Engineering Science, vol.42, (1987), pp. 2847-2863
  23. Glass, I.I. and Kaca, J. and Zhang, D.L. and Glaz, H.M. and Bell, J.B. and Trangenstein, J.A. and Collins, J.P., Diffraction of planar shock waves over half-diamond and semicircular cylinders: an experimental and numerical comparison, AIP Conf. Proc. (USA) no. 208 (1990), pp. 246 - 51, Bethlehem, PA, USA  [abs]
  24. I.I. Glass, J. Kaca, D.L. Zhang, H.M. Glaz, J. Trangenstein, J.B. Bell and, Diffraction of Planar Shock Waves over Half-Diamond and Semicircular Cyliners: an Experimental and Numerical Comparisond, Proceedings of the Seventeenth International Symposium on Shock Waves and Shock Tubes, July 17-21, 1989.
  25. Subramanian, G; Trangenstein, JA; Mochizuki, S; Shen, EIC, EFFICIENT FLUID BEHAVIOR COMPUTATIONS IN A SEQUENTIAL COMPOSITIONAL RESERVOIR SIMULATOR., Society of Petroleum Engineers of AIME, (Paper) SPE (1987), pp. 321-327, San Antonio, TX, USA  [abs]
  26. John Trangenstein, Finite Element Method for the Tricomi Problem in the Elliptic Region, SIAM J. Num. Anal., vol. 14, (1977), pp. 1066-1077
  27. Garaizar, FX; Trangenstein, J, Front Tracking for Shear Bands in an Antiplane Shear Model, Journal of Computational Physics, vol. 131 no. 1 (1997), pp. 54, Elsevier BV [5456], [doi]
  28. F. X. Garaizar and John Trangenstein, Front Tracking for Shear Bands in an Antiplane Shear Model, J. Comp. Phys., vol.131, (1998), pp. 54-69
  29. J. Bell, P. Colella, John Trangenstein and M. Welcome, Godunov Methods and Adaptive Algorithms for Unsteady Fluid Dynamics, Eleventh International Conference on Numerical Methods in Fluid Dynamics, Williamsburg, Virginia, 1988.
  30. John B. Bell, Philip Colella and John Trangenstein, Higher-Order Godunov Methods for General Systems of Hyperbolic Conservation Laws, J. Comp. Phys., vol.82, (1989), pp. 362-397
  31. TRANGENSTEIN, J. A. and READ, H. E., INELASTIC RESPONSE CHARACTERISTICS OF THE NEW ENDOCHRONIC THEORY WITH SINGULAR KERNEL., vol. 18 no. 11 (1982), pp. 947 - 956  [abs]
  32. Michael Shearer and John Trangenstein, Loss of Real Characteristics for Models of Three-Phase Flow in a Porous Medium, Transport in Porous Media, vol. 4, (1989), pp. 499-525
  33. Trangenstein, JA; Bell, JB, Mathematical Structure of Compositional Reservoir Simulation, SIAM Journal on Scientific and Statistical Computing, vol. 10 no. 5 (September, 1989), pp. 817-845, Society for Industrial & Applied Mathematics (SIAM), ISSN 0196-5204 [Gateway.cgi], [doi]  [abs]
  34. John B. Bell and John Trangenstein, Mathematical Structure of Compositional Reservoir Simulation, SIAM J. Sci. Stat. Comput., vol. 10, (1989), pp. 817-845
  35. John B. Bell and John Trangenstein, Mathematical Structure of the Black-Oil Model for Petroleum Reservoir Simulation, SIAM J. Appl. Math., vol.49, (1989), pp. 749-783
  36. S. A. Khan, G.A. Pope, John Trangenstein, Micellar/Polymer Physical Property Models for Contaminant Cleanup Problems and Enhanced Oil Recovery, Transport in Porous Media 24(1996), 35-79.
  37. Khan Sameer, A; Pope Gary, A; Trangenstein John, A, Micellar/polymer physical-property models for contaminant cleanup problems and enhanced oil recovery, Transport in Porous Media, vol. 24 no. 1 (1996), pp. 35-79, Springer Nature, ISSN 0169-3913 [Gateway.cgi], [doi]  [abs]
  38. John Trangenstein, Minimization of Gibbs Free Energy in Compositional Reservoir Simulation, Eighth SPE Symposium on Reservoir Simulation, SPE 13520, Dallas, 1985
  39. Trangenstein John, A, MINIMIZATION OF GIBBS FREE ENERGY IN COMPOSITIONAL RESERVOIR SIMULATION., Society of Petroleum Engineers of AIME, (Paper) SPE (1985), pp. 233-246, Dallas, TX, USA  [abs]
  40. Trangenstein, JA, Multi-scale iterative techniques and adaptive mesh refinement for flow in porous media, Advances in Water Resources, vol. 25 no. 8-12 (August, 2002), pp. 1175-1213, Elsevier BV, ISSN 0309-1708 [Gateway.cgi], [doi]  [abs]
  41. Trangenstein, John A. and Bi, Zhuoxin, Multi-Scale Iterative Techniques and Adaptive Mesh Refinement for Miscible Displacement Simulation, Proceedings - SPE Symposium on Improved Oil Recovery (2002), pp. 924 - 936, Tulsa, OK, United States  [abs]
  42. Miller, CT; Christakos, G; Imhoff, PT; McBride, JF; Pedit, JA; Trangenstein, JA, Multiphase flow and transport modeling in heterogeneous porous media: Challenges and approaches, Advances in Water Resources, vol. 21 no. 2 (1998), pp. 77-120, Elsevier BV, ISSN 0309-1708 [Gateway.cgi], [doi]  [abs]
  43. Myron B. Allen, Alda Behie and John Trangenstein, Multiphase Flow in Porous Media: Mechanics, Mathematics and Numerics, Springer-Verlag Lecture Notes in Engineering 34, (1988)
  44. G. Christakos, P.T. Imhoff, John F. McBride, C.T. Miller, Joseph A. Pedit, John Trangenstein, Multiple Flow and Transport Modeling in Heterogeneous Porous Media: Challenges and Approaches, Advances in Water Resources 21(1998), 77-120.
  45. Trangenstein, JA; Pember, RB, Numerical algorithms for strong discontinuities in elastic-plastic solids, Journal of Computational Physics, vol. 103 no. 1 (January, 1992), pp. 63-89, Elsevier BV, ISSN 0021-9991 [Gateway.cgi], [doi]  [abs]
  46. Richard Pember and John Trangenstein, Numerical Algorithms for Strong Discontinuities in Elastic-Plastic Solids, J. Comp. Phys., vol. 103, (1992), pp. 63-89
  47. W.B. Gragg, R.J. LeVeque and John Trangenstein, Numerically Stable Methods for Updating Regressions, J. American Statistical Association, vol. 74, (1979), pp. 161-168
  48. More, JJ; Trangenstein, JA, On the global convergence of Broyden's method, Math. Comput. (USA), vol. 30 no. 135 (1976), pp. 523-540, American Mathematical Society (AMS) [doi]  [abs]
  49. J. J. More and John Trangenstein, On the Global Convergence of Broyden's Method, Mathematics of Computation, vol. 30, (1976), pp. 523-540
  50. Trangenstein, JA; Kim, C, Operator splitting and adaptive mesh refinement for the Luo-Rudy I model, Journal of Computational Physics, vol. 196 no. 2 (May, 2004), pp. 645-679, Elsevier BV, ISSN 0021-9991 [Gateway.cgi], [doi]  [abs]
  51. with John A. Trangenstein and Chisup Kim, Operator Splitting and Adaptive Mesh Refinement for the Luo-Rudy I Model, Journal of Computational Physics, vol. 196 (2004), pp. 645-679, Elsevier  [abs]
  52. Trangenstein John, A, Second-order Godunov algorithm for two-dimensional solid mechanics, Computational Mechanics, vol. 13 no. 5 (1994), pp. 343-359, Springer Nature [doi]  [abs]
  53. H.E. Read and John Trangenstein, The Inelastic Response Characteristics of the New Endochronic Theory with Singular Kernel, International Journal of Solids and Structures, vol. 18, (1982), pp. 947-956
  54. Trangenstein, JA; Pember, RB, The Riemann Problem for Longitudinal Motion in an Elastic-Plastic Bar, SIAM Journal on Scientific and Statistical Computing, vol. 12 no. 1 (January, 1991), pp. 180-207, Society for Industrial & Applied Mathematics (SIAM), ISSN 0196-5204 [Gateway.cgi], [doi]  [abs]
  55. Richard Pember and John Trangenstein, The Riemann Problem for Longitudinal Motion in an Elastic-Plastic Bar, SIAM J. Sci. Stat. Comput., vol. 12, (1991), pp. 180-207
  56. Kent Holing, Birgitte Schilling and John Trangenstein, The Use of Second-Order Godunov-Type Methods for Simulating EOR Processes in Realistic Reservoir Models, Second European Conference on the Mathematics of Oil Recovery, E. Guerillot and O. Guillon (ed.) (1990), 101-111
  57. John Trangenstein, Three-Phase Flow with Gravity, Contemporary Mathematics, vol.100, (1989), pp. 147-160
  58. F. Xabier Garaizar, John Trangenstein,, Tracking of Shear Bands in an Antiplane Shear Model, Proceedings of the International Conference on Hyperbolic Equations, SUNY Stony Brook.
  59. Bi, Z; Higdon, D; Lee, H; Trangenstein, J, Upscaling Tensorial Permeability Fields Based on {G}Gaussian Markov Random Field Models and the Hybrid Mixed Finite Element Method, SPE Journal (2002) [ps]

Preprints

  1. John Trangenstein and Zhuoxin Bi, Multi_Scale Iterative Techniques and Adaptive Mesh Refinement for Miscible Displacement Simulation , preprint 2001 [ps]  [abs]
  2. Bill Allard, John Trangenstein, On the Performance of a Distributed Object Oriented Adaptive Mesh Refinement Code , preprint 1998

 

dept@math.duke.edu
ph: 919.660.2800
fax: 919.660.2821

Mathematics Department
Duke University, Box 90320
Durham, NC 27708-0320
Mathematics Home | Arts & Sciences | Duke University