Friday, November 17, 2023 - 09:45 in V2-210/216
Localized implicit time-stepping for the acoustic wave equation
A talk in the BI.discrete Workshop series by
Roland Maier from Karlsruhe
| Abstract: |
This talk is about locally computing solutions to the acoustic wave equation with possibly highly oscillatory coefficients. We rigorously prove that the localized (and especially parallel) computation on multiple overlapping subdomains is reasonable, making use of exponentially decaying entries of the global system matrices and an appropriate partition of unity. Moreover, a re-start is introduced after a certain amount of time steps to maintain a moderate overlap of the subdomains. Overall, the approach may be understood as a domain decomposition strategy (in space and time) that completely avoids inner iterations. Numerical experiments are presented that confirm the theoretical findings.
Within the CRC this talk is associated to the project(s): A7, B3, B7 |
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