Research Interests for John A. Trangenstein

• Hierarchical Methods for Parameter Estimation in Porous Flow I am directing a multi-disciplinary project for estimating permeability and porosity in porous media from tracer flow and geological data: see KDI Project Web Page
  
• Adaptive mesh refinement for flow in porous media I am developing multiplicative and additive domain decomposition preconditioners for use in solving elliptic systems on dynamically adaptive grids for miscible displacement and surfactant flooding.
• Adaptive mesh refinement for reaction-diffusion problems I am working on multigrid preconditioners for parabolic systems arising in reaction-diffusion models for electrical wave propagation in the heart.

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, 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]