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A Multi‐Model Approach for the Efficient Solution of Differential‐Algebraic Boundary Value Problems
Author(s) -
Callies R.
Publication year - 2003
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200310548
Subject(s) - boundary value problem , hierarchy , algebraic number , finite element method , coupling (piping) , mathematics , mathematical optimization , algebraic equation , differential (mechanical device) , partial differential equation , computer science , value (mathematics) , mathematical analysis , engineering , physics , nonlinear system , structural engineering , quantum mechanics , mechanical engineering , economics , market economy , statistics , aerospace engineering
A multi‐model approach is presented which allows the efficient and stable coupling between high precision algorithms for DAE boundary value problems arising from constrained optimal control problems and model data obtained with rather low accuracy from finite element solutions of PDEs. A model hierarchy with increasing approximation accuracy serves as an intermediate layer. Numerical efficiency is demonstrated for an example from flight mechanics.