Computational methods for nonsmooth acoustic systems. (English) Zbl 1125.35300
Summary: We consider numerical techniques for a nonsmooth acoustic pressure system arising in electromagnetic interrogation of dielectric materials. We first describe several formulations of coupled electromagnetic/acoustic systems that arise naturally when traveling acoustic interfaces are used as reflectors for pulsed microwave input signals for dielectric property and geometry identification. We then develop fully Galerkin schemes in a somewhat nonstandard variational formulation of only the acoustic system with distributional inputs. Sample computational findings using the resulting large algebraic system are given.
MSC:
35A05 | General existence and uniqueness theorems (PDE) (MSC2000) |
35L05 | Wave equation |
35Q60 | PDEs in connection with optics and electromagnetic theory |
65M60 | Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs |