Output Error Bounds for the Dirichlet-Neumann Reduced Basis Method
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.
KeywordsDomain Decomposition Dual Solution Reduce Basis Reduce Basis Approximation Model Order Reduction Method
Unable to display preview. Download preview PDF.
- 5.C. Prud’homme, D.V. Rovas, K. Veroy, L. Machiels, Y. Maday, A.T. Patera, G. Turinici, Reliable real-time solution of parametrized partial differential equations: reduced-basis output bound methods. J. Fluids Eng. 124, 70–80 (2002)Google Scholar
- 6.D. Rovas, Reduced basis output bound methods for parametrized PDE’s. PhD thesis, MIT, 2003Google Scholar