Domain decomposition methods in nite element applied aerodynamics provides a real speed-up of the convergence and good parallel scalability, even with the minimum overlap approach used here. Furthermore, a new variant of Restricted Additive Schwarz procedure is tested and shows a very attractive scalability property.

In this report, we discuss the alternating Schwarz method as the classical domain decomposition method for solving partial differential equations, which we then use to couple particle and continuum models.

We introduce an adaptive element-based domain decomposition (DD) method for solving saddle point problems defined as a block two by matrix. The algorithm does not require any knowledge of the constrained space. assume that all sub matrices are sparse and diagonal blocks spectrally equivalent to sum positive semi definite matrices. latter assumption enables design coarse space DD methods extends...