Output Error Bounds for the Dirichlet-Neumann Reduced Basis Method

  • Immanuel MartiniEmail author
  • Bernard Haasdonk
Conference paper
Part of the Lecture Notes in Computational Science and Engineering book series (LNCSE, volume 103)


The Dirichlet-Neumann reduced basis method is a model order reduction method for homogeneous domain decomposition of elliptic PDEs on a-priori known geometries. It is based on an iterative scheme with full offline-online decomposition and rigorous a-posteriori error estimates. We show that the primal-dual framework for non-compliant output quantities can be transferred to this method. The results are validated by numerical experiments with a thermal block model.


Domain Decomposition Dual Solution Reduce Basis Reduce Basis Approximation Model Order Reduction Method 
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Copyright information

© Springer International Publishing Switzerland 2015

Authors and Affiliations

  1. 1.Institut of Applied Analysis and Numerical SimulationUniversity of StuttgartStuttgartGermany

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