Model Order Reduction for Magneto-Quasistatic Equations. Issue 1 (2015)

• Record Type: Journal Article
• Authors: Kerler, Johanna; Stykel, Tatjana
• Is Part Of: IFAC-PapersOnLine. Volume 48:Issue 1(2015)
• Page Start: 240
• Page End: 241
• Publication Date: 2015
• Subjects: Magneto-quasistatic equations -- model reduction -- differential-algebraic equations -- balanced truncation -- proper orthogonal decomposition -- discrete empirical interpolation; Automatic control -- Periodicals; 629.805
• DOI: 10.1016/j.ifacol.2015.05.126
• Languages: English
• ISSNs: 2405-8963

Abstract

Abstract: We consider model reduction of Maxwell's equations arising in magneto-quasistatic problems. A finite element discretization of such equations leads to large-scale differential- algebraic equations of special structure. For model reduction of linear systems, we employ a balanced truncation approach, whereas nonlinear systems are reduced using a proper orthogonal decomposition method combined with a discrete empirical interpolation technique. We will exploit the special structure of the underlying problem to improve the performance of the model reduction algorithms.