Research

My current projects are aimed at producing radiation/absorbing boundary conditions for elastic waves. In particular, we would like to be able to anisotropic media with backward propagating modes in a systematic manner.

Publications

Double Absorbing Boundaries for Finite Difference Time Domain Electromagnetics. (2016)
John LaGrone, Thomas Hagstrom. Journal of Computational Physics. In Press.

Radiation Boundary Condition Pack Library --- rbcpack.org (2015)
Responsible for all code related to FDTD/Yee and second order finite difference interfaces along with the corresponding documentation and examples. This work was done in collaboration with HyPerComp, Inc.

Selected Presentations

High Order Radiation Boundary Conditions for Elastic Waves.
ICOSAHOM 2016, July 2016, Rio de Janeiro, Brazil.

Applications of Complete Radiation Boundary Conditions,
RTG Seminar, January 2016, Rensselaer Polytechnic Institute

Double Absorbing Boundaries for Finite-Difference Time-Domain Electromagnetics,
Applied Math Seminar, November 2015, University of New Mexico

Double Absorbing Boundaries for Finite Difference Time Domain Electromagnetics.
Thomas Hagstrom, John LaGrone.
Extended Abstract & Presentation. The 12th International Conference on Mathematical and Numerical Aspects of Wave Propagation, 2015, Karlsruhe, Germany

Stable Implementation of Complete Radiation Boundary Conditions in Finite Difference Time Domain Solvers for Maxwell's Equations
T. Hagstrom, J. LaGrone, F. Juhnke
Poster, SIAM Annual Meeting, 2014, Chicago