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BibTeX
Port reduction in parametrized component static condensation: approximation and a posteriori error estimation
International journal for numerical methods in engineering, 2013-11, Vol.96 (5), p.269-302
Eftang, Jens L.
Patera, Anthony T.
2013
Details
Autor(en) / Beteiligte
Eftang, Jens L.
Patera, Anthony T.
Titel
Port reduction in parametrized component static condensation: approximation and a posteriori error estimation
Ist Teil von
International journal for numerical methods in engineering, 2013-11, Vol.96 (5), p.269-302
Ort / Verlag
Chichester: Blackwell Publishing Ltd
Erscheinungsjahr
2013
Link zum Volltext
Quelle
Alma/SFX Local Collection
Beschreibungen/Notizen
SUMMARYWe introduce a port (interface) approximation and a posteriori error bound framework for a general component‐based static condensation method in the context of parameter‐dependent linear elliptic partial differential equations. The key ingredients are as follows: (i) efficient empirical port approximation spaces—the dimensions of these spaces may be chosen small to reduce the computational cost associated with formation and solution of the static condensation system; and (ii) a computationally tractable a posteriori error bound realized through a non‐conforming approximation and associated conditioner—the error in the global system approximation, or in a scalar output quantity, may be bounded relatively sharply with respect to the underlying finite element discretization.Our approximation and a posteriori error bound framework is of particular computational relevance for the static condensation reduced basis element (SCRBE) method. We provide several numerical examples within the SCRBE context, which serve to demonstrate the convergence rate of our port approximation procedure as well as the efficacy of our port reduction error bounds. Copyright © 2013 John Wiley & Sons, Ltd.
Sprache
Englisch
Identifikatoren
ISSN: 0029-5981
eISSN: 1097-0207
DOI: 10.1002/nme.4543
Titel-ID: cdi_proquest_miscellaneous_1448747240
Format
–
Schlagworte
a posteriori error estimation
,
Approximation
,
component synthesis
,
Computational efficiency
,
Condensing
,
domain decomposition
,
Errors
,
Exact sciences and technology
,
Fundamental areas of phenomenology (including applications)
,
interface reduction
,
Mathematical analysis
,
Mathematical models
,
Mathematics
,
Methods of scientific computing (including symbolic computation, algebraic computation)
,
non-conforming methods
,
Numerical analysis. Scientific computation
,
Physics
,
port reduction
,
Ports
,
reduced basis element method
,
Reduction
,
Sciences and techniques of general use
,
Solid mechanics
,
static condensation
,
Structural and continuum mechanics
,
Vibration, mechanical wave, dynamic stability (aeroelasticity, vibration control...)
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