We determine simple analytical conditions for combined radiative and thermal equilibrium between the X-ray emitting plasma and cold reprocessor in active galactic nuclei (AGN) and galactic black holes (GBH). These conditions determine the pressure at the transition zone, which is not arbitrary in the static situation. The conditions for static solution are derived analytically for different for...

We introduce a port (interface) approximation and a posteriori error bound framework for a general component–based static condensation method in the context of parameter–dependent elliptic partial differential equations. The key ingredients are i) efficient empirical port approximation spaces — the dimensions of these spaces may be chosen small in order to reduce the computational cost associat...

In this paper, we introduce a domain-specific language (DSL) for concisely expressing localized linear algebra on finite element tensors and its integration within a code-generation framework. This DSL is general enough to facilitate the automatic generation of element-based dense linear algebra kernels necessary for the implementation of static condensation methods and local solvers for a vari...

We introduce a port (interface) approximation and a posteriori error bound framework for a general component-based static condensation method in the context of parameter-dependent linear elliptic partial differential equations. The key ingredients are i) efficient empirical port approximation spaces — the dimensions of these spaces may be chosen small in order to reduce the computational cost a...

We describe several experimental studies of Bose-Einstein condensation in a dilute gas of sodium atoms. These include studies of static and dynamic behavior of the condensate, and of its coherence properties.

We present a new approach for fast, flexible and reliable simulations of parameterdependent parabolic problems with a component-based geometry. The static condensation reduced basis element (SCRBE) is a domain decomposition method with reduced basis (RB) approximation at the intradomain level to populate a Schur complement at the interdomain level. In the Offline stage, for a library of archety...

This study investigates structural similarities in polyfluorosilicone (PFSi) gels made by different cross-linking procedures, using small-angle neutron scattering (SANS). The scattering properties of gels prepared from long and short precursor chains and of the un-cross-linked polymer solutions are reported. The gel samples were cross-linked by two methods, hydrosilylation, and condensation cur...