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Domain Decomposition for Distributed Parameter Systems on 2-D Networks

  • John E. Lagnese
  • Günter Leugering
Chapter
Part of the ISNM International Series of Numerical Mathematics book series (ISNM, volume 148)

Abstract

This chapter is mainly concerned with domain decomposition in optimal final value control of hyperbolic systems on two-dimensional polygonal networks \( \mathcal{P} \) in ℝ N . However, in order to fix the ideas in the context of a somewhat simpler problem we shall begin by considering a domain decomposition procedure for the calculation of the solutions of elliptic systems on such networks.

Keywords

Spatial Domain Variational Equation Domain Decomposition Elliptic System Edge Condition 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Basel AG 2004

Authors and Affiliations

  • John E. Lagnese
    • 1
  • Günter Leugering
    • 2
  1. 1.Department of MathematicsGeorgetown UniversityUSA
  2. 2.Angewandte Mathematik IIUniversität Erlangen NürnbergErlangenGermany

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