On the analysis of a kind of nonlinear Sobolev equation through locally applied pseudo‐spectral meshfree radial point interpolation

In this study, we develop an approximate formulation for two‐dimensional nonlinear Sobolev problems by focusing on pseudospectral meshless radial point interpolation (PSMRPI) which is a kind of locally applied radial basis function interpolation and truthfully a meshless approach. In the PSMRPI method, the nodal points do not need to be regularly distributed and can even be quite arbitrary. It is easy to have high order derivatives of unknowns in terms of the values at nodal points by constructing operational matrices. The convergence and stability of the technique in some sense are studied via some examples to show the validity and trustworthiness of the PSMRPI technique.     

Supraleitung von schmelzmetallurgisch hergestellten NbGa-Legierungen mit A15-Struktur

In the system Nb—Ga the temperature-dependent homogeneity range of the A15-phases extends only up to 19–22.5 at-% Ga and merely at eutectic temperature it reaches nearly the stoichiometric composition. Owing to the formation of phase boundary lines in the system Nb—Ga the maximum transition temperatures of meltproduced specimens are not reached with a composition corresponding to a single-phase A15 material but with approximately eutectic composition, since in this case the A15 phase is formed with a maximum Ga content. The influence of a homogenizing and tempering treatment is investigated.