Research interests / Forschungsinteressen
- a posteriori error estimation
- (quasi-optimal) convergence of adaptive non-standard finite element methods
Publications / Publikationen
Traktabilitätsindex und Eigenschaften von matrixwertigen Riccati-Typ Algebrodifferentialgleichungen
Hella Döring (2004), Diplomarbeit, Humboldt-Universität zu Berlin; Download als pdf.
New adaptive mixed finite element method (AMFEM)
Carsten Carstensen, Hella Rabus, 79th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), Bremen 2008 Young Researcher's Minisymposia Adaptive Finite Element Procedures; Volume 8 Issue 1, Pages 10049-10052 Published online: 25. Feb. 2009, DOI: 10.1002/pamm.200810049. Download als pdf.
An optimal adaptive mixed finite element method
Carsten Carstensen, Hella Rabus; Mathematics of Computation Volume 80, Number 274, April 2011, Pages 649-667. Download als pdf.
A natural adaptive nonconforming FEM of quasi-optimal complexity
Hella Rabus, CMAM Vol.10(2010), No. 3, pages 316-326. Download als pdf.
The adaptive nonconforming FEM for the pure displacement Problem in linear Elasticity is optimal and robust
Carsten Carstensen, Hella Rabus, SIAM J. Numer. Anal., 50(3), 1264-1283, 2012. Download als pdf.
Mixed finite element method for a degenerate convex variational problem from topology optimization
Carsten Carstensen, David Günther, Hella Rabus, SIAM J. Numer. Anal.; Vol. 50, No. 2, pages 522-543, 2012. Download als pdf.
Optimal Adaptive Nonconforming FEM for the Stokes Problem
Carsten Carstensen, Daniel Peterseim, Hella Rabus, Numerische Mathematik, 123:2, 291-308, 2013; DOI: 10.1007/s00211-012-0490-8. Download als pdf.
Optimal Mesh Refinement Strategies
Hella Rabus, Carsten Carstensen, Oberwolfach Reports No. 09/2012, 72-74; Mathematisches Forschungsinstitut Oberwolfach (MFO).
On the quasi-optimal convergence of adaptive nonconforming finite element methods in three examples
Hella Rabus, PhD thesis, Humboldt Universität zu Berlin, (submitted November 2013), June 2014. Download als pdf.
Quasi-optimal convergence of AFEM based on separate marking -- Part I
Hella Rabus, Journal of Numerical Mathematics 2015; 23(2):137-156. Download als pdf.
Quasi-optimal convergence of AFEM based on separate marking -- Part II
Hella Rabus, Journal of Numerical Mathematics 2015; 23(2):157-174. Download als pdf.
Axioms of adaptivity with separate marking for data resolution
Carsten Carstensen, Hella Rabus, SIAM J. Numer. Anal. 2017; 55(6):2644-2665. Download als pdf.