Time domain adjoint sensitivity analysis of electromagnetic problems with nonlinear media

Electromagnetic Fields in Linear and Nonlinear Chiral Media: a Time-domain Analysis

We present several recent and novel results on the formulation and the analysis of the equations governing the evolution of electromagnetic fields in chiral media in the time domain. In particular, we present results concerning the well-posedness and the solvability of the problem for linear, time-dependent, and nonlocal media, and results concerning the validity of the local approximation of t...

Adjoint-based space-time adaptive solution algorithms for sensitivity analysis and inverse problems

Time-domain electromagnetic migration in the solution of inverse problems

Time-domain electromagnetic (TDEM) migration is based on downward extrapolation of the observed field in reverse time. In fact, the migrated EM field is the solution of the boundary-value problem for the adjoint Maxwell's equations. The important question is how this imaging technique can be related to the solution of the geoelectrical inverse problem. In this paper we introduce a new formulati...

Domain decomposition strategies for nonlinear flow problems in porous media

Domain decomposition (DD) methods, such as the additive Schwarz method, are almost exclusively applied to a linearised equations. In the context of non-linear problems, these linear systems appear as part of a Newton iteration. However, applying DD methods directly to the original non-linear problem has some attractive features, most notably that the Newton iterations now solve local problems, ...

Domain Sensitivity Analysis for Acoustic Scattering Problems

We consider scattering problems described by the Dirichlet boundary value problem for the scalar Helmholtz equation in exterior domains := IR 2 n i : Such problems include the scattering of acoustic waves from a sound-soft obstacle or the scattering of electromagnetic waves from perfectly conducting cylinders. The paper concerns with the characterization of the G^ ateaux derivative of the far-e...