Numerical reduction of self‐consistent field models of macromolecular systems. Issue 1 (October 2016)

• Record Type: Journal Article
• Authors: Disterhoft, Alexej; Raasch, Thorsten; Schmid, Friederike
• Is Part Of: Proceedings in applied mathematics and mechanics. Volume 16:Issue 1(2016)
• Page Start: 915
• Page End: 916
• Publication Date: 2016-10
• Subjects: Applied mathematics -- Periodicals; Engineering mathematics -- Periodicals; Mathematical physics -- Periodicals; 519
• DOI: 10.1002/pamm.201610446
• Languages: English
• ISSNs: 1617-7061

Abstract

Abstract: We report on the first application of model reduction techniques to the numerical simulation of self‐consistent field (SCF) models for polymer melts at equilibrium. As a complement to the classical SCF iteration, the parametric reaction‐diffusion equations for the chain propagators are treated by a reduced basis (RB) approximation from spaces of bandlimited functions. Numerical examples in a spatially one‐dimensional, periodic setting show that the approach is feasible, although not all requirements of an orthodox RB scheme are satisfied. (© 2016 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)