Adjoint consistency analysis of residual-based variational multiscale methods

We investigate the conditions under which residual-based variational multiscale methods are adjoint, or dual, consistent for model hyperbolic and elliptic partial differential equations. In particular, while many residual-based variational multiscale stabilizations are adjoint consistent for hyperbo...

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Veröffentlicht in:	Journal of computational physics 2013-12, Vol.255, p.396-406
Hauptverfasser:	Hicken, J.E., Li, J., Sahni, O., Oberai, A.A.
Format:	Artikel
Sprache:	eng
Schlagworte:	Adjoint consistency Adjoints Consistency Differentiate-then-discretize Discretize-then-differentiate Dual consistency Finite element method Functional superconvergence Mathematical analysis Mathematical models Multiscale methods Partial differential equations Stabilization Variational multiscale method
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Zusammenfassung:	We investigate the conditions under which residual-based variational multiscale methods are adjoint, or dual, consistent for model hyperbolic and elliptic partial differential equations. In particular, while many residual-based variational multiscale stabilizations are adjoint consistent for hyperbolic problems and finite-element spaces, only a few are adjoint consistent for elliptic problems.
ISSN:	0021-9991 1090-2716
DOI:	10.1016/j.jcp.2013.07.039