Journal
SIAM JOURNAL ON NUMERICAL ANALYSIS
Volume 59, Issue 3, Pages 1769-1810Publisher
SIAM PUBLICATIONS
DOI: 10.1137/20M1335789
Keywords
complex best approximation; domain decomposition; Schwarz algorithms; optimal control
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Homographic complex best approximation is a crucial tool for designing high-performance domain decomposition Robin-Schwarz algorithms, with the introduction of a new alternation property to solve complex problems and apply them to control issues.
Homographic complex best approximation has emerged in recent years as an essential tool for the design of new, performant domain decomposition Robin--Schwarz algorithms. We present and analyze a fully complex problem, introducing a new alternation property. We give operational formulas for the solution and apply them to a control problem.
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