Abstract

This paper presents a new scalable asynchronous domain decomposition method which significantly outperforms the recent two-level asynchronous restricted additive Schwarz (RAS) method. The novel approach consists of considering the classical primal Schur complement framework and solving the interface problem using a multisplitting relaxation based on a weighted additive Schwarz preconditioner. The computational model does not require any significant implementation effort compared to an asynchronous RAS solver. Experiments were conducted on a linear elasticity test case, and the results clearly show the practical superiority of the new asynchronous method, which is even competitive with its conjugate gradient counterpart.

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