I. Maier a · B. Haasdonk a Output error bounds for the Dirichlet-Neumann reduced basis method Stuttgart, June 2014 a Institute of Applied Analysis and Numerical Simulation, University of Stuttgart, Pfaﬀenwaldring 57, 70569 Stuttgart/ Germany {immanuel.maier,haasdonk}@mathematik.uni-stuttgart.de http://www.mathematik.uni-stuttgart.de/fak8/ians/lehrstuhl/agh/index.html Abstract The Dirichlet-Neumann reduced basis method is a model order reduction method for ho- mogeneous domain decomposition of elliptic PDE’s 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. Keywords Reduced basis method · Domain decomposition · Dual solution · Output error · Error estimation Stuttgart Research Centre for Simulation Technology (SRC SimTech) SimTech – Cluster of Excellence Pfaﬀenwaldring 5a 70569 Stuttgart publications@simtech.uni-stuttgart.de www.simtech.uni-stuttgart.de