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Domain Decomposition Methodology for Solving Maxwell's Equations

In recent years, domain decomposition (DD) methods have enjoyed considerable success in solving large multi-scale EM problems. These methods feature divide-and-conquerin solution algorithms (applying the most suitable solution strategy to solve each sub-problem) and plug-in-play in software architectures (integrating individual EM solvers into a portable and extensible solution suite). They also result in highly efficient and naturally parallelizable algorithms on distributed memory many-core parallel computing systems. We have been investigating novel DD algorithms for differential equations, integral equations, transient EM analysis, and reduced order modeling. 

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