A short note on plain convergence of adaptive least-squares finite element methods
Thomas Führer,
Dirk Praetorius
Abstract:We show that adaptive least-squares finite element methods driven by the canonical least-squares functional converge under weak conditions on PDE operator, meshrefinement, and marking strategy. Contrary to prior works, our plain convergence does neither rely on sufficiently fine initial meshes nor on severe restrictions on marking parameters. Finally, we prove that convergence is still valid if a contractive iterative solver is used to obtain the approximate solutions (e.g., the preconditioned conjugate gradie… Show more
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