Accelerated Schwarz iterations for Helmholtz equation
Nabila Nagid, Hassan Belhadj, Mohamed Ridouan Amattouch · AIP conference proceedings · 2017
In this paper, the Restricted additive Schwarz (RAS) method is applied to solve Helmholtz equation. To accelerate the RAS iterations, we propose to apply the vector ε−algorithm. Some convergence analysis of the proposed method is presented, and applied succeffully to Helmholtz problem. The obtained results show the efficiency of the proposed approach. Moreover, the algorithm yields much faster convergence than the classical Schwarz iterations.