Teaching
The course webpage for Math 105 (Section 211) is here.
Sarah Louise Mitchell
- Position:
- Postdoctoral Fellow in Applied Mathematics
- Address:
- Department of Mathematical Sciences
1984 Mathematics Road
University of British Columbia
Vancouver, BC
V6T 1Z2
Canada - Telephone Number:
- +1 604 827 3018
- Fax:
- +1 604 822 5485
- Email:
- sarah@iam.ubc.ca
Research Details
A copy of my current and future research interests is available here.
I am currently doing a postdoc at the University of British Columbia with Professors Rachel Kuske and Anthony Peirce. We are researching mathematical and numerical modelling of hydraulic fractures in rocks. Some more details about this work can be found here. At present we have two papers on this topic:
- "An Asymptotic Framework for finite hydraulic fractures including leak-off", which has been submitted to SIAM Journal on Applied Mathematics and is currently in review. A preprint is available to download here).
- "An asymptotic framework the analysis of hydraulic fractures: the impermeable case", which has been submitted to the Journal of Applied Mechanics (in October 2005). A preprint is available to download here.
I am also working with Professor Uri Ascher from the department of Computer Science at UBC. We are researching numerical methods for solving shallow water wave equations which exhibit a multi-symplectic structure, namely the Boussinesq equations.
In June 2003 I completed my PhD entitled "Coupling Transport and Chemistry: Numerics, Analysis and Applications" under the supervision of Professors A. Spence and K. W. Morton at the University of Bath in the U.K. My abstract can be found here.
Current work related to my PhD include:- "Analysis of box schemes for reactive flow problems" (paper accepted to SIAM Journal of Scientific Computing in Jan 2005 and it is available to download here). This is based on work from my thesis which shows that key properties of the box scheme are advantageous in modelling systems of differential equations that describe the transport of chemicals in groundwater flow.
- A comparison of the box scheme and splitting methods for coupling transport and chemistry in groundwater flow. We are applying our work to other reaction-transport systems which also exhibit a reduced speed and have promising results which show an improvement on existing numerical schemes, in terms of stability, accuracy and computation time.
In September 2003 Dick ten Bosch and I submitted a paper entitled "On Fluid-fluid Displacement in Eccentric Annular Configurations" to the Journal of Non-Newtonian Fluid Mechanics. This is based on work I did for Shell Global Solutions in Amsterdam in the summer of 1998.
Seminars
Pictures of trips
Here are some pictures of hikes and trips I've been on since arriving in Vancouver. It is by no means complete yet...