A COMPLEX HOMOGRAPHIC BEST APPROXIMATION PROBLEM. APPLICATION TO OPTIMIZED ROBIN-SCHWARZ ALGORITHMS, AND OPTIMAL CONTROL PROBLEMS

被引：1

作者：

Delourme, Berangere ^{[1
]}

Halpern, Laurence ^{[1
]}

机构：

[1] Univ Sorbonne Paris Nord, LAGA, F-93430 Villetaneuse, France

来源：

SIAM JOURNAL ON NUMERICAL ANALYSIS | 2021年 / 59卷 / 03期

关键词：

complex best approximation; domain decomposition; Schwarz algorithms; optimal control; DOMAIN DECOMPOSITION METHOD; WAVE-FORM RELAXATION; TRANSMISSION CONDITIONS; SYSTEMS;

D O I：

10.1137/20M1335789

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：1769 / 1810

页数：42

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