Complementary solutions of electrostatic field problems

A general error form the corresponds to mismatch in the constitutive relationship is used for systematic derivation of complementary solution formulations, and the associated bounds, in electrostatic field problems. A close kinship between the error-based treatment and a general theorem on well-posed boundary conditions is made use of to highlight the role of boundary specifications in determining the expression for the complementary functionals. A combination of complementary computational results, obtained using two-dimensional finite elements is shown to provide valuable insight into numerical behavior     

Conductivite ionique dans les verres AgPO3-AgX (X = I.Br.Cl)

The glass-forming regions in the systems AgPO₃- AgX with X = I.Br.Cl were determined and the study of the electrical conductivity of glasses belonging to these systems was carried out. The glass-forming region and conductivity increase with increasing halogen ion size. The conductivity reaches maxima values of the order of 10^?2, 10^?3, $\text{10}{}^{\mathrm{?4}}\text{(Ω ·}\text{cm}\text{)}{}^{\mathrm{?1}}$ with AgI, AgBr, AgCl respectively. The study of the electrical conductivity shows that the conduction is essentially ionic in nature and due to silver ions movements only.     

An error-based approach to complementary formulations of static field solutions

The constitutive relationship between fields in electromagnetic media is cast in error form. For well-posed static problems, the error splits systematically into complementary functionals. Error minimization provides a universal variational principle that generates complementary and dual solution formulations. The error, which is wholly attributed to the numerical constraints in approximate solutions, is always defined and computable locally and globally.     

Thermally conductive polymer nanocomposites for filament-based additive manufacturing

Journal of Materials Science - Thermal management is a crucial factor affecting the performance and lifetime in several applications, such as electronics, generators, and heat exchangers. Additive...