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Dr. rer. nat. Hella Rabus (she/her)

Institut für Mathematik, Humboldt-Universität zu Berlin

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Research interests / Forschungsinteressen

• a posteriori error estimation
• (quasi-optimal) convergence of adaptive non-standard finite element methods

for nonlinear PDEs

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Publications / Publikationen

• Hella Döring:
  Traktabilitätsindex und Eigenschaften von matrixwertigen Riccati-Typ Algebrodifferentialgleichungen
  (2004), Diplomarbeit, Humboldt-Universität zu Berlin
• Carsten Carstensen, Hella Rabus:
  New adaptive mixed finite element method (AMFEM)
  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.
• Carsten Carstensen, Hella Rabus:
  An optimal adaptive mixed finite element method
  Mathematics of Computation Volume 80, Number 274, April 2011, Pages 649-667.
• Hella Rabus:
  A natural adaptive nonconforming FEM of quasi-optimal complexity
  CMAM Vol.10(2010), No. 3, pages 316-326.
• Carsten Carstensen, Hella Rabus:
  The adaptive nonconforming FEM for the pure displacement Problem in linear Elasticity is optimal and robust
  SIAM J. Numer. Anal., 50(3), 1264-1283, 2012
• Carsten Carstensen, David Günther, Hella Rabus:
  Mixed finite element method for a degenerate convex variational problem from topology optimization
  SIAM J. Numer. Anal.; Vol. 50, No. 2, pages 522-543, 2012
• Carsten Carstensen and Daniel Peterseim and Hella Rabus
  Optimal Adaptive Nonconforming FEM for the Stokes Problem
  Numerische Mathematik, 123:2, 291-308, 2013; DOI: 10.1007/s00211-012-0490-8
• Hella Rabus and Carsten Carstensen
  Optimal Mesh Refinement Strategies
  Oberwolfach Reports No. 09/2012, 72-74; Mathematisches Forschungsinstitut Oberwolfach (MFO)
• Hella Rabus
  On the quasi-optimal convergence of adaptive nonconforming finite element methods in three examples
  PhD thesis, Humboldt Universität zu Berlin, (submitted November 2013), June 2014
• Hella Rabus
  Quasi-optimal convergence of AFEM based on separate marking -- Part I
  Journal of Numerical Mathematics 2015; 23(2):137-156
• Hella Rabus
  Quasi-optimal convergence of AFEM based on separate marking -- Part II
  Journal of Numerical Mathematics 2015; 23(2):157-174
• Carsten Carstensen and Hella Rabus
  Axioms of adaptivity with separate marking for data resolution
  SIAM J. Numer. Anal. 2017; 55(6):2644-2665