Dr. Donna Calhoun's current research interests are in finite-volume methods for solving hyperbolic, parabolic and elliptic PDEs in complex geometry. In particular, she is interested in methods for structured quadrilateral and hexahedral meshes, uniform Cartesian cut-cell (embedded geometry) methods, and numerical methods for solving PDEs on non-Euclidean surfaces. Application areas in which she has been involved include modeling of combustion processes, pattern formation in biology, crystal growth, and modeling of atmospheric flows on the sphere. Dr. Calhoun has a Ph.D. in Applied Mathematics from the University of Washington. She was a Research Scientist at the Commissariat a l'Energie Atomique in France from 2005 through 2010. In 2011 she joined the Mathematics faculty at Boise State University.
Articles
Logically Rectangular Finite Volume Methods with Adaptive Refinement on the Sphere (with Marsha J. Berger, Christiane Helzel, and Randall J. LeVeque), Philosophical Transactions of the Royal Society A (2009)
The logically rectangular finite volume grids for two-dimensional partial differential equations on a sphere and...
A Finite Volume Method for Solving Parabolic Equations on Logically Cartesian Curved Surface Meshes (with Christiane Helzel), SIAM Journal on Scientific Computing (2009)
We present a second-order, finite-volume scheme for the constant-coefficient diffusion equation on curved, parametric surfaces...