41 citations · 369 across the 28 of their papers we have counts for
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math.NA2018★ 5 cited
Optimal additive Schwarz preconditioning for adaptive 2D IGA boundary element methods
Thomas Führer, Gregor Gantner, Dirk Praetorius +1
We define and analyze (local) multilevel diagonal preconditioners for isogeometric boundary elements on locally refined meshes in two dimensions. Hypersingular and weakly-singular…
math.NA2018★ 14 cited
Optimal convergence behavior of adaptive FEM driven by simple (h-h/2)-type error estimators
Christoph Erath, Gregor Gantner, Dirk Praetorius
For some Poisson-type model problem, we prove that adaptive FEM driven by the (h-h/2)-type error estimators from [Ferraz-Leite, Ortner, Praetorius, Numer. Math. 116 (2010)] leads t…