Domain Decomposition Methods in Optimal Control of Partial Differential Equations
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Beschreibung
While domain decomposition methods have a long history dating back well over one hundred years, it is only during the last decade that they have
become a major tool in numerical analysis of partial differential equations.
This monograph considers problems of optimal control for partial differential equations of elliptic and, more importantly, of hyperbolic types on networked domains. The main goal is to describe, develop and analyze iterative space and time domain decompositions of such problems on the infinite dimensional level.
Emphasis is to put domain decomposition methods in the context of so-called virtual optimal control problems and, more importantly, to treat optimal control problems for partial differential equations and their decompositions by an all-at-once approach Development of a general theory for systems of partial differential equations on multi-linked or networked domains
Autor*in
John E. Lagnese
Themen in »Domain Decomposition Methods in Optimal Control of Partial Differential Equations«
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