TheR-function method in boundary-value problems with geometric and physical symmetry
VL Rvachev, TI Sheiko, V Shapiro - Journal of Mathematical Sciences, 1999 - Springer
VL Rvachev, TI Sheiko, V Shapiro
Journal of Mathematical Sciences, 1999•SpringerThis paper is devoted to developing constructive methods of the theory of R-functions. It
gives the first discussion of methods of constructing the equations of loci with symmetry of
translation type for duplicated domains not separated by lines and with point symmetry of
cyclic type for regions both possessing and lacking axial symmetry. The possible
applications are illustrated by numerous examples carried out using the POLE system,
including solutions of boundary-value problems involving the influence of cyclically located …
gives the first discussion of methods of constructing the equations of loci with symmetry of
translation type for duplicated domains not separated by lines and with point symmetry of
cyclic type for regions both possessing and lacking axial symmetry. The possible
applications are illustrated by numerous examples carried out using the POLE system,
including solutions of boundary-value problems involving the influence of cyclically located …
Abstract
This paper is devoted to developing constructive methods of the theory of R-functions. It gives the first discussion of methods of constructing the equations of loci with symmetry of translation type for duplicated domains not separated by lines and with point symmetry of cyclic type for regions both possessing and lacking axial symmetry. The possible applications are illustrated by numerous examples carried out using the POLE system, including solutions of boundary-value problems involving the influence of cyclically located circular and star-shaped insulators on an electric field.
Springer