Special ACM Seminar
Tom Hagstrom is a Professor of Mathematics and Director of the Center for Research Computing at Southern Methodist University. He received his Ph.D. in Applied Mathematics from Caltech in 1983 and also taught for nineteen years at the University of New Mexico. Tom’s research is focused on the development and application of fast, robust, and general algorithms for simulating wave propagation. For more details about his research visit https://orcid.org/0000-0002-9775-2051.
Efficient time-domain solvers for wave propagation problems must include three crucial components:
i. Robust high-resolution volume discretizations applicable in complex geometry (i.e. on grids that can be generated efficiently) - we believe that high-resolution methods enabling accurate simulations with minimal dofs-per-wavelength are necessary to solve difficult 3 + 1-dimensional problems with the possibility of error control.
ii. Radiation boundary conditions which provide arbitrary accuracy at small cost (spectral convergence, weak dependence on the simulation time and wavelength)
iii. Algorithms for directly propagating the solution to remote locations - avoid sampling the wave whenever possible.
In this talk we will discuss recent developments in all three areas, including our own work on on high-order energy stable volume discretization methods and the construction of optimal local radiation boundary conditions.