Metal nanoshells and nanotubes with dielectric cores are useful structures to change the surface plasmon frequencies in wide range. Here, our localized theory derived random phase approximation at high frequency condition is applied investigate excitations for metal cores, which embedded dielectrics. Assuming that local functions metals dielectrics have step function shapes interfaces quasi-sta...

A posteriori error estimators based on quasi-norm gradient recovery are established for the finite element approximation of the p-Laplacian on unstructured meshes. The new a posteriori error estimators provide both upper and lower bounds in the quasi-norm for the discretization error. The main tools for the proofs of reliability are approximation error estimates for a local approximation operat...

We used our previously implemented GW approximation (GWA) based on the all-electron full-potential projector augmented wave (PAW) method to study the optical properties of small, medium and large-band-gap semiconductors: The aim being to study the size of both local-field (LF) and the quasi-particle (QP) corrections to the calculated dielectric function obtained using the local density approxim...

We perform simulations of the Kelvin-Helmholtz cooling phase proto-neutron stars with a new numerical code in spherical symmetry and using quasi-static approximation. use for first time full set charged-current neutrino-nucleon reactions, including neutron decay modified Urca processes, together energy-dependent representation inclusion nuclear correlations random-phase Moreover, convective mot...