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Mode superposition with submodeling
Author(s) -
Jakobsson Håkan,
Larson Mats G.
Publication year - 2012
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.3340
Subject(s) - superposition principle , subspace topology , modal , mode (computer interface) , finite element method , set (abstract data type) , domain (mathematical analysis) , computer science , space (punctuation) , algorithm , mathematical optimization , mathematics , mathematical analysis , artificial intelligence , engineering , structural engineering , chemistry , polymer chemistry , programming language , operating system
SUMMARY We investigate a new approach for local enhancement of mode superpositions, which builds on the concept of submodeling. To this end, we impose a multiscale split on the reduced solution into a global part defined by the mode superposition method and a local part defined by a patch problem solved in a subspace of the finite element space associated with a subdomain around some region of interest. The patch problem yields a local correction on the modal approximation. We describe the basics of this approach and evaluate the accuracy of the approximation in elastostatic numerical examples. We also demonstrate how the submodeling technique may be applied as a post‐processing operation on a set of reduced solutions, for example, from dynamics simulation, to enhance accuracy in some domain of interest. Copyright © 2012 John Wiley & Sons, Ltd.