PHYSICS: Staying Single and Coupled

Photoacoustic and Coupled Physics Imaging

There exist various reconstruction formulas and back-projection algorithms for photoacoustic imaging (see the survey [4] and the references therein). Also different measurement devices for the ultrasound pressure have been suggested. Most common are small detectors based on materials, which exhibit a strong piezoelectric effect and can be immersed safely in water (i.e. polymers such as PVDF). I...

Single molecule physics and chemistry.

New experiments using scanning probe microcopies and advanced optical methods allow us to study molecules as individuals, not just as populations. The findings of these studies not only include the confirmation of results expected from studies of bulk matter, but also give substantially new information concerning the complexity of biomolecules or molecules in a structured environment. The techn...

Coupled Coincidence and Common Fixed Point Theorems for Single-Valued and Fuzzy Mappings

In this paper, we study the existence of coupled coincidence andcoupled common fixed points for single-valued and fuzzy mappingsunder a contractive condition in metric space. Presented theoremsextend and improve the main results of Abbas and$acute{C}$iri$acute{c}$ {itshape et al.} [M. Abbas, L.$acute{C}$iri$acute{c}$, {itshape et al.}, Coupled coincidenceand common fixed point theorems for hybr...

Single and Coupled Nanobeam Cavities

Block Preconditioners for Coupled Physics Problems

Finite element discretizations of multiphysics problems frequently give rise to blockstructured linear algebra problems that require effective preconditioners. We build two classes of preconditioners in the spirit of well-known block factorizations [21, 16] and apply these to the diffusive portion of the bidomain equations and the Bénard convection problem. An abstract generalized eigenvalue pr...