The fast nearfield method, when combined with time-space decomposition, is a rapid and accurate approach for calculating transient nearfield pressures generated by ultrasound transducers. However, the standard time-space decomposition approach is only applicable to certain analytical representations of the temporal transducer surface velocity that, when applied to the fast nearfield method, are...

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for k = 1,2, . . . and i = 1, . . . ,n, where Ωi ⊂ Ω are non-overlapping subdomains, Γi j = ∂Ωi ∩Ω j is the interface between Ωi and an adjacent subdomain Ω j, j �= i, and pi j > 0 are Robin parameters along Γi j. In [7], the powerful technique of energy estimates is used to show convergence of (2) for η = 0 under very general settings. Similar techniques have been used to prove convergence res...

Optimized Schwarz methods are domain decomposition methods in which a largescale PDE problem is solved by subdividing it into smaller subdomain problems, solving the subproblems in parallel, and iterating until one obtains a global solution that is consistent across subdomain boundaries. Fast convergence can be obtained if Robin conditions are used along subdomain boundaries, provided that the ...