3D-1D coupling on non conforming meshes via a three-field optimization based domain decomposition

A new numerical approach is proposed for the simulation of coupled three-dimensional and one-dimensional elliptic equations (3D-1D coupling) arising from dimensionality reduction 3D-3D problems with thin inclusions. The method based on a well posed mathematical formulation results in scheme high flexibility handling geometrical complexities. This achieved by means three-field to split 1D bulk 3D problem, then resorting minimization properly designed functional impose matching conditions at interfaces. Thanks structure functional, allows use independent meshes various subdomains.