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  4. A numerical algorithm based on probing to find optimized transmission conditions
 
conference paper

A numerical algorithm based on probing to find optimized transmission conditions

Gander, Martin J.
•
Masson, Roland
•
Vanzan, Tommaso  
2023
Domain Decomposition Methods in Science and Engineering XXVI
26th International Domain Decomposition Conference (DD26)

Optimized Schwarz Methods (OSMs) are based on optimized transmission conditions along the interfaces between the subdomains. Optimized transmission conditions are derived at the theoretical level, using techniques developed in the last decades. The hypothesis behind these analyses are quite strong, so that the applicability of OSMs is still limited. In this manuscript, we present a numerical algorithm to obtain optimized transmission conditions for any given problem at hand. This algorithm requires few subdomain solves to be performed in an offline phase. This additional cost is usually negligible due to the resulting faster convergence, even in a single-query context.

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