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Research Interests for John A. Trangenstein

Research Interests: Adaptive mesh refinement, Multigrid preconditioners

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

Approximation theory, Computational complexity, Equations of motion, Equations of state, Finite differences, Finite element method, Granular flow, Granular materials, Mass transfer, Mechanics, Oil wells, Plasticity, Solids
Recent Publications
  1. J. Trangenstein, Numerical Solution of Hyperbolic Partial Differential Equations (May, 2008), Cambridge University Press, ISBN 052187727X ( [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, 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]
  4. 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]
  5. 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]
ph: 919.660.2800
fax: 919.660.2821

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