On the stability of finite-element discretizations of convection-diffusion-reaction equations

A priori error estimates for the local projection (LP) stabilization applied to convection-diffusion-reaction equations are generally based on the coercivity of the underlying bilinear form with respect to the LP norm. We show that the bilinear form of the LP stabilization satisfies an inf-sup condi...

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Veröffentlicht in:	IMA journal of numerical analysis 2011, Vol.31 (1), p.147-164
Hauptverfasser:	KNOBLOCH, Petr, TOBISKA, Lutz
Format:	Artikel
Sprache:	eng
Schlagworte:	Discretization Equivalence Estimates Exact sciences and technology Galerkin methods Mathematical analysis Mathematics Norms Numerical analysis Numerical analysis. Scientific computation Partial differential equations Projection Sciences and techniques of general use Stabilization
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