A Posteriori Error Analysis of Component Mode Synthesis for the\n Frequency Response Problem

2012/06/24 by Håkan Jakobsson, Jakobsson, Håkan, Mats G. Larson +1
Decision Sciences · Engineering · Materials Science · Physics and Astronomy · #FOS: Mathematics #Magnetic Properties and Applications #Model Reduction and Neural Networks #Numerical Analysis (math.NA) #Probabilistic and Robust Engineering Design #Structural Health Monitoring Techniques

paper · pdf · doi:10.48550/arxiv.1206.5479

openalex publication_date 2012/06/24 · openalex created_date 2022/10/01 · openalex updated_date 2026/07/28

Abstract

We consider the frequency response problem and derive a posteriori error\nestimates for the discrete error in a reduced finite element model obtained\nusing the component mode synthesis (CMS) method. We provide estimates in a\nlinear quantity of interest and the energy norm. The estimates reflect to what\ndegree each CMS subspace influence the overall error in the reduced solution.\nThis enables automatic error control through adaptive algorithms that determine\nsuitable dimensions of each subspace. We illustrate the theoretical results by\nincluding several numerical examples.\n

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