Math @ Duke
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Books
- J. Trangenstein, Numerical Solution of Hyperbolic Partial Differential Equations
(May, 2008), Cambridge University Press, ISBN 052187727X [abs]
Papers Published
- 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]
- 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]
- J. Trangenstein and Zhuoxin Bi, Multi-Scale Iterative Techniques and Adaptive Mesh Refinement for Flow in Porous Media,
Advances in Water Resources, vol. 25
(2002),
pp. 1175--1213 [ps]
- Miller, Cass T. and Christakos, George and Imhoff, Paul T. and McBride, John F. and Pedit, Joseph A. and Trangenstein, John A., Multiphase flow and transport modeling in heterogeneous porous media: Challenges and approaches,
Advances in Water Resources, vol. 21 no. 2
(1998),
pp. 77 - 120 [S0309-1708(96)00036-X] [abs]
- Garaizar, F.X. and 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 - 79 [S1064827597319271] [abs]
- Garaizar, F. X. and Trangenstein, J., Front Tracking for Shear Bands in an Antiplane Shear Model,
Journal of Computational Physics, vol. 131 no. 1
(1997),
pp. 54 - [5456]
- Hornung, R. D. and Trangenstein, J. A., Adaptive Mesh Refinement and Multilevel Iteration for Flow in Porous Media,
Journal of Computational Physics, vol. 136 no. 2
(1997),
pp. 522 - [5779]
- Khan, Sameer A. and Pope, Gary A. and 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 [abs]
- Trangenstein, J.A., Adaptive mesh refinement for wave propagation in nonlinear solids,
SIAM J. Sci. Comput. (USA), vol. 16 no. 4
(1995),
pp. 819 - 39 [abs]
- 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]
- Trangenstein, John A., Second-order Godunov algorithm for two-dimensional solid mechanics,
Computational Mechanics, vol. 13 no. 5
(1994),
pp. 343 - 359 [abs]
- Trangenstein, J.A. and Pember, R.B., Numerical algorithms for strong discontinuities in elastic-plastic solids,
J. Comput. Phys. (USA), vol. 103 no. 1
(1992),
pp. 63 - 89 [0021-9991(92)90326-T] [abs]
- 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
- Trangenstein, J.A. and Pember, R.B., The Riemann problem for longitudinal motion in an elastic-plastic bar,
SIAM J. Sci. Stat. Comput. (USA), vol. 12 no. 1
(1991),
pp. 180 - 207 [abs]
- 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]
- Trangenstein, J.A., A second-order algorithm for the dynamic response of soils,
Impact Comput. Sci. Eng. (USA), vol. 2 no. 1
(1990),
pp. 1 - 39 [0899-8248(90)90002-R] [abs]
- Subramanian, G. and Trangenstein, J. A. and Mochizuki, S. and Shen, E. I-C., 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]
- Trangenstein, John A., CUSTOMIZED MINIMIZATION TECHNIQUES FOR PHASE EQUILIBRIUM COMPUTATIONS IN RESERVOIR SIMULATION.,
Chemical Engineering Science, vol. 42 no. 12
(1987),
pp. 2847 - 2863 [0009-2509(87)87051-3] [abs]
- Bell, John B. and Trangenstein, John A. and Shubin, Gregory R., CONSERVATION LAWS OF MIXED TYPE DESCRIBING THREE-PHASE FLOW IN POROUS MEDIA.,
SIAM Journal on Applied Mathematics, vol. 46 no. 6
(1986),
pp. 1000 - 1017 [abs]
- 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]
- 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]
- Trangenstein, J.A., A finite element method for the Tricomi problem in the elliptic region,
SIAM J. Numer. Anal. (USA), vol. 14 no. 6
(1977),
pp. 1066 - 77 [abs]
- More, J.J. and Trangenstein, J.A., On the global convergence of Broyden's method,
Math. Comput. (USA), vol. 30 no. 135
(1976),
pp. 523 - 40 [abs]
- 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
- 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.
- 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
- R. Hornung, John Trangenstein, Adaptive Mesh Refinement and Multilevel Iteration for Flow in Porous Media,
Journal of Computational Physics, 136, 522-545.
- 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.
- John Trangenstein, Adaptive Mesh Refinement for Wave Propagation in Nonlinear Solids,
SIAM J. Sci. Comput. 16(1995), 819-839.
- 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.
- 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
- John Trangenstein, A Second-Order Godunov Algorithm for Two-Dimensional Solid Mechanics,
Computational Mechanics, 13(1994) pp. 343-359.
- Richard Pember and John Trangenstein, Numerical Algorithms for Strong Discontinuities in Elastic-Plastic Solids,
J. Comp. Phys., vol. 103, (1992), pp. 63-89
- 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
- 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
- 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).
- 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
- 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
- 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
- John B. Bell and John Trangenstein, Mathematical Structure of Compositional Reservoir Simulation,
SIAM J. Sci. Stat. Comput., vol. 10, (1989), pp. 817-845
- 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
- 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
- John Trangenstein, Three-Phase Flow with Gravity,
Contemporary Mathematics, vol.100, (1989), pp. 147-160
- 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
- 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.
- 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)
- 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.
- John Trangenstein, Customized Minimization Techniques for Phase Equilibrium Computations in Reservoir Simulation,
Chemical Engineering Science, vol.42, (1987), pp. 2847-2863
- 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.
- 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
- 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
- John Trangenstein, Minimization of Gibbs Free Energy in Compositional Reservoir Simulation,
Eighth SPE Symposium on Reservoir Simulation, SPE 13520, Dallas, 1985
- 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
- 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
- John Trangenstein, Finite Element Method for the Tricomi Problem in the Elliptic Region,
SIAM J. Num. Anal., vol. 14, (1977), pp. 1066-1077
- J. J. More and John Trangenstein, On the Global Convergence of Broyden's Method,
Mathematics of Computation, vol. 30, (1976), pp. 523-540
- Trangenstein, J.A. and Bell, J.B., Mathematical structure of compositional reservoir simulation,
SIAM J. Sci. Stat. Comput. (USA), vol. 10 no. 5
,
pp. 817 - 45 [abs]
Papers Accepted
- J. Trangenstein and Chisup Kim, Operator Splitting and Adaptive Mesh Refinement for the Luo-Rudy I Model,
J. Comp. Phys.
(2003) [ps]
Papers Submitted
- Zhuoxin Bi, 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,
SPE Journal
(2002) [ps]
Preprints
- John Trangenstein and Zhuoxin Bi, Multi_Scale Iterative Techniques and Adaptive Mesh Refinement for Miscible Displacement Simulation
, preprint 2001 [ps] [abs]
- Bill Allard, John Trangenstein, On the Performance of a Distributed Object Oriented Adaptive Mesh Refinement Code
, preprint 1998
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dept@math.duke.edu
ph: 919.660.2800
fax: 919.660.2821
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Mathematics Department
Duke University, Box 90320
Durham, NC 27708-0320
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