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Research Interests for John Trangenstein

Research Interests: Adaptive mesh refinement, Multigrid preconditioners

  • Adaptive mesh refinement for flow in porous media
  • Adaptive mesh refinement for reaction-diffusion problems

Recent Publications
  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]
  2. 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]
  3. 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]
  4. 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 (Submitted, 2002) [ps]
  5. 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]

 

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Mathematics Department
Duke University, Box 90320
Durham, NC 27708-0320