Discretization Methods for Indefinite Wave Propagation Problems

Organizers of this minisymposium are

Time-harmonic wave propagation problems are important in a large number of applications including acoustics, electrodynamics, and elastodynamics. When the computational domain spans many wavelength or when it contains non-classical metamaterials, the propagation of waves is modeled by an “indefinite” boundary value problem, which means that the associated sesquilinear form is not coercive. The minisymposium focuses on both computational techniques and analytic results that address the issues arising from this lack of coercivity. Typical examples include the use of high-order or multiscale shape functions for high-frequency problems, the design of symmetrized meshes around metamaterial interfaces, and boundary integral equations.