A spectral element method based on the hierarchical Poincaré-Steklov scheme and its application to modelling non-equilibrium atmospheric-pressure plasmas

The project is aimed at the construction of a robust solver for elliptic partial differential equations on adaptive unstructured meshes. The project combines different approaches such as domain decomposition techniques and the use of advanced elliptic solvers such as the hierarchical Poincaré-Steklov (HPS) scheme. In addition, the algorithms for operating with non-conformal triangular meshes are developed. The developed solver is intended to be applied for simulating different types of atmospheric pressure discharges such as pin-to-pin, pin-to-plane discharges and non-equilibrium atmospheric pressure plasma jets.

Funded by the German Research Foundation (Deutsche Forschungsgemeinschaft, DFG), project number 504701852, https://gepris.dfg.de/gepris/projekt/504701852