Research Interests:Adaptive mesh refinement, Multigrid preconditioners
Adaptive mesh refinement for flow in porous media
Adaptive mesh refinement for reaction-diffusion problems
Keywords:
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
Current Ph.D. Students
Matt Bowen
Postdocs Mentored
Chisup Kim (2001/09-2003/05)
Hwanho Kim (1999/09-1999/12)
Zhuoxin Bi (1999/08-2002/07)
Ilya Mishev (1996/09-1997/05)
Recent Publications
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]
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, 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]
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]
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]