Domain Decomposition for Distributed Parameter Systems on 2-D Networks

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


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.


Spatial Domain Variational Equation Domain Decomposition Elliptic System Edge Condition 
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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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