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- Hella Rabus
- Comput. Meth. in Appl. Math.
- 2010

- Carsten Carstensen, Daniel Peterseim, Hella Rabus
- Numerische Mathematik
- 2013

This paper presents an optimal nonconforming adaptive finite element algorithm and proves its quasi-optimal complexity for the Stokes equations with respect to natural approximation classes. The proof does not explicitly involve the pressure variable and follows from a novel discrete Helmholtz decomposition of deviatoric functions. Mathematics Subject… (More)

- Carsten Carstensen, Hella Rabus
- SIAM J. Numerical Analysis
- 2012

- Carsten Carstensen, Hella Rabus
- Math. Comput.
- 2011

Various applications in fluid dynamics and computational continuum mechanics motivate the development of reliable and efficient adaptive algorithms for mixed finite element methods. In order to save degrees of freedom, not all but just a selection of finite element domains are refined. Hence the fundamental question of convergence as well as the question of… (More)

- Carsten Carstensen, David Günther, Hella Rabus
- SIAM J. Numerical Analysis
- 2012

The optimal design task of this paper seeks the distribution of two materials of prescribed amounts for maximal torsion stiffness of an infinite bar of given cross section. This example of relaxation in topology optimisation leads to a degenerate convex minimisation problem

- Hella Rabus
- J. Num. Math.
- 2015

- Hella Rabus
- J. Num. Math.
- 2015

- HELLA RABUS
- 2012

The optimal design task of this paper seeks the distribution of two materials of prescribed amounts for maximal torsion stiffness of an infinite bar of a given cross section. This example of relaxation in topology optimization leads to a degenerate convex minimization problem E (v) := ∫ Ω φ0 (|∇v|) dx− ∫ Ω fv dx for v ∈ V := H1 0 (Ω) with possibly multiple… (More)

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