A Domain Decomposition Scheme with an Efficient Multitrace Multiresolution Preconditioner for the Simulation of Complex Composite Problems

Abstract

In this work we present a multitrace method including an automatic and multilevel quasi-Helmholtz decomposition integrated with the domain decomposition method for the solution of arbitrary complex geometries composed of piecewise homogeneous composite objects. A numerical experiment demonstrates the flexibility of the proposed approach for the solution of large multi-scale objects composed of multiple materials.