Analysis of a Chimera method

Abstract Chimera is a variant of Schwarz' algorithm which is used in CFD to avoid meshing complicated objects. In a previous publication [3] we proposed an implementation for which convergence could be shown except that ellipticity was not proved for the discretized bilinear form with quadrature rules. Here we prove that the bilinear form of the discrete problem is strongly elliptic without compatibility condition for the mesh of the subdomains in their region of intersection.