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John A. Trangenstein

Professor Emeritus of Mathematics
Mathematics
Box 90320, Durham, NC 27708-0320
24D Physics Building, Durham, NC 27708

Overview


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

Current Appointments & Affiliations


Professor Emeritus of Mathematics · 2012 - Present Mathematics, Trinity College of Arts & Sciences

Recent Publications


Operator splitting and adaptive mesh refinement for the Luo-Rudy I model

Journal Article Journal of Computational Physics · May 20, 2004 We apply second-order operator splitting to the Luo-Rudy I model for electrical wave propagation in the heart. The purpose of the operator splitting is to separate the nonlinear but local reaction computations from the linear but globally coupled diffusion ... Full text Cite

Multi-scale iterative techniques and adaptive mesh refinement for flow in porous media

Journal Article Advances in Water Resources · August 1, 2002 Multi-component flow in porous media involves localized phenomena that could be due to several features, such as concentration fronts, wells or geometry of the media. Our approach to treating the localized phenomena is to use high-resolution discretization ... Full text Cite
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Recent Grants


Multiscale Modeling and Simulation in Scientific Inference: Hierarchical Methods for Parameter Estimation in Porous Flow

ResearchPrincipal Investigator · Awarded by National Science Foundation · 1999 - 2002

Application of Distributed Adaptive Mesh Refinement Techniques to Problems Involving Diffusion

ResearchCo-Principal Investigator · Awarded by National Science Foundation · 1998 - 2001

Multidimensional Problems in Dynamic Plasticity

ResearchCo-Principal Investigator · Awarded by National Science Foundation · 1995 - 1999

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Education, Training & Certifications


Cornell University · 1975 Ph.D.
The University of Chicago · 1972 B.S.