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 CiteMulti-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 CiteUpscaling Tensorial Permeability Fields Based on {G}Gaussian Markov Random Field Models and the Hybrid Mixed Finite Element Method
Journal Article SPE Journal · 2002 Link to item CiteRecent Grants
Multiscale Modeling and Simulation in Scientific Inference: Hierarchical Methods for Parameter Estimation in Porous Flow
ResearchPrincipal Investigator · Awarded by National Science Foundation · 1999 - 2002Application of Distributed Adaptive Mesh Refinement Techniques to Problems Involving Diffusion
ResearchCo-Principal Investigator · Awarded by National Science Foundation · 1998 - 2001Multidimensional Problems in Dynamic Plasticity
ResearchCo-Principal Investigator · Awarded by National Science Foundation · 1995 - 1999View All Grants
Education, Training & Certifications
Cornell University ·
1975
Ph.D.
The University of Chicago ·
1972
B.S.