The article addresses the solution of systems of linear algebraic equations arising in static and steady-state vibration problems solved by the finite element method. A block-sparse matrix format based on the CSR (Compressed Sparse Row) format is presented, along with its GPU implementation using CUDA. A stabilized biconjugate gradient method is implemented and applied to model problems of varying dimensions; a comparison with a reference implementation in MATLAB is also conducted.
Keywords: sparse matrices, finite element method, block matrices, GPU, parallel computing, systems of linear algebraic equations, biconjugate gradient method
The article is devoted to solving the problem of energy saving in housing stock and communal services of the municipality by creating a model of housing stock with the help of modern geographic information systems.
Spatial model of energy efficiency, presented in this paper, built in the software environment of ArcGIS. This model allows to monitor and comprehensive evaluation of energy consumption in the building stock of Rostov-on-Don, as well as to solve the problems associated with increasing the energy efficiency of residential buildings.
Keywords: energy conservation, improvement of the energy efficiency, the reconstruction of urban development, urban development, housing stock