Dual Variational Formulation of the Electrostatic Problem in an Inhomogeneous Anisotropic Dielectric / V. S. Zarubin, G. N. Kuvyrkin, and I. Yu. Savel'eva. // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika. 2017. № 3. P. 8-16 [Moscow Univ. Math. Bulletin. Vol. 72, N 2, 2017. P. 94-101].

The use of developed prospective dielectric materials in various modern electrotechnical and electrophysical devices requires reliable forecast of attainability of the required level of final characteristics depending on properties of those materials. Such forecast is based (among others) on solution of electrostatic problems in an inhomogeneous anisotropic medium allowing one to estimate the ability to satisfy the qualifying standards for effective characteristics of created materials. A dual variational formulation of an electrostatic problem in an inhomogeneous anisotropic dielectric is used to solve these problems.

Key words: problem of electrostatics, anisotropic dielectric, tensor dielectric constant.