A short note on plain convergence of adaptive least-squares finite element methods

We show that adaptive least-squares finite element methods driven by the canonical least-squares functional converge under weak conditions on PDE operator, mesh-refinement, and marking strategy. Contrary to prior works, our plain convergence does neither rely on sufficiently fine initial meshes nor...

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Veröffentlicht in:	Computers & mathematics with applications (1987) 2020-09, Vol.80 (6), p.1619-1632
Hauptverfasser:	Führer, Thomas, Praetorius, Dirk
Format:	Artikel
Sprache:	eng
Schlagworte:	Adaptive algorithm Conjugate gradient method Convergence Finite element method Iterative methods Least squares Least squares finite element methods Marking
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