Approximate Radiation Boundary Conditions for Time-Dependent Waves
Tuesday, May 17, 2011
3:30PM – 5PM
Thomas Hagstrom, Department of Mathematics, Southern Methodist University
As most interesting problems in wave propagation are posed on effectively unbounded domains, their efficient numerical solution requires the imposi- tion of accurate near-field radiation boundary conditions. We will present our recent work on optimal local radiation boundary condition sequences for models which are homogeneous and isotropic outside of the computational domain. Here we have found that the key requirement to obtain long-time accuracy is to construct conditions which are accurate for both the propagating and the evanescent spectrum. We will also discuss the difficulties which arise when trying to treat more complex systems which are anisotropic or inhomogeneous and suggest some approaches which we believe hold promise.
Hosted by L. Demkowicz