Thursday, July 25
Many applications in acoustic, elastic, electromagnetic, and seismic wave propagation involve the solution of a wave equation on an unbounded spatial domain. Engineers, mathematicians, and other scientists have proposed a variety of numerical methods for the efficient solution of these problems in both the time and frequency domains. Finite element and finite difference methods are applicable after the problem is reformulated on a truncated domain with suitable boundary conditions; boundary element and infinite element methods can be applied directly to the problem on the unbounded domain.
Numerical Methods for Wave Propagation on Unbounded Domains (Part I of II)
However, the speakers in this minisymposium will present some recent advances in the mathematical analysis of these problems and compare the computational efficiency and accuracy of different methods.
Organizer: Douglas B. Meade
University of South Carolina
- 8:30 Absorbing Boundaries in Three-Dimensional Elastodynamics with an Application to Engineering Seismology
- Jacobo Bielak and Richard C. MacCamy, Carnegie Mellon University
- 9:00 Exact and High-Order Boundary Conditions
- Thomas M. Hagstrom, University of New Mexico
- 9:30 New Dirichlet-to-Neumann (DtN) Type Schemes for Unbounded-Domain Problems
- Dan Givoli, Rensselaer Polytechnic Institute; and Igor Patlashenko, Technion-Israel Institute of Technology, Israel
- 10:00 Nonreflecting Boundary Conditions for Time Dependent Scattering
- Marcus J. Grote, Courant Institute of Mathematical Sciences, New York University; and Joseph B. Keller, Stanford University