Finite element error analysis of wave equations with dynamic boundary conditions: L2L^2 estimates

$L^2$ norm error estimates of semi- and full discretisations, using bulk--surface finite elements and Runge--Kutta methods, of wave equations with dynamic boundary conditions are studied. The analysis resides on an abstract formulation and error estimates, via energy techniques, within this abstract setting. Four prototypical linear wave equations with dynamic boundary conditions are analysed which fit into the abstract framework. For problems with velocity terms, or with acoustic boundary conditions we prove surprising results: for such problems the spatial convergence order is shown to be less than two. These can also be observed in the presented numerical experiments

Financing SMEs in EU and in Hungary, with special attention on venture capital

The financing of the SMEs is always a hard thing in the European countries. Especially is it a fateful question for a country that is so much dependent on SMEs like Hungary. Since Hungary is on the way of reorganization, every government take it a priority to facilitate the SMEs to reach capital, reach new markets, and Hungary tried hard to simplify the administrative burdens of small and medium sized enterprises. The accession to the European Union indicated new factors on this project, and since 2004, Hungary is based on EU regulation. This accession provided us new perspectives and new goals on globalized market, and force us to become more and more competitive not only with other EU countries, but with the whole world market. This short study is based upon the Hungarian government’s conception of development of SME’s, publicated in February of 2007, extended with the surveys and studies presented from the professionals of the subject.

Service-oriented Context-aware Framework

Location- and context-aware services are emerging technologies in mobile and desktop environments, however, most of them are difficult to use and do not seem to be beneficial enough. Our research focuses on designing and creating a service-oriented framework that helps location- and context-aware, client-service type application development and use. Location information is combined with other contexts such as the users' history, preferences and disabilities. The framework also handles the spatial model of the environment (e.g. map of a room or a building) as a context. The framework is built on a semantic backend where the ontologies are represented using the OWL description language. The use of ontologies enables the framework to run inference tasks and to easily adapt to new context types. The framework contains a compatibility layer for positioning devices, which hides the technical differences of positioning technologies and enables the combination of location data of various sources