An adaptive multilevel approach to the minimal compliance problem in topology optimization

By Roman Stainko. 2005

105 citations recorded by the source corpus.

Subfields: Civil and Structural Engineering, Computational Theory and Mathematics, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/cb73ae78df8b97a2041eb312eda7f0c9a32d539f

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Civil and Structural Engineering

In Computational Theory and Mathematics

In Mechanics of Materials

Citations in the corpus

Improving multiresolution topology optimization via multiple discretizations (2012, methodology): “Additionally, Stainko [25] used a slightly different approach in which the mesh is refined only on the material boundary.”
A new algorithm for topology optimization using a level-set method (2006, methodology): “In our computations, we performed simply a uniform mesh reﬁnement although some kind of adaptivity might be proﬁtable (see e.g. [29]).”
A survey of structural and multidisciplinary continuum topology optimization: post 2000 (2014, methodology): “A number of other adaptive mesh refinement techniques for densitybased topology optimization have also been demonstrated in the literature (Kim et al. 2003; Stainko 2006; Guest and Genut 2010).”
Reducing dimensionality in topology optimization using adaptive design variable fields (2010, methodology): “Stainko [13] refines only regions around the solid–void interface and uses filters to achieve mesh independency of solutions.”
A multi-resolution method for 3D multi-material topology optimization (2015, unknown): “In this approach, the voids are represented by coarser mesh while the solids by relatively finer mesh during the process [37,40–42].”
Adaptive topology optimization with independent error control for separated displacement and density fields (2014, unknown): “Stainko [18] performed the refinements only along the interfaces between the fully solid and void phases.”
Structural topology optimization based on non-local Shepard interpolation of density field (2011, background): “It is often desirable in a topology design problem to resolve accurate boundary shape in some local areas of interest [48,49].”
Structural topology optimization for multiple load cases using a dynamic aggregation technique (2009, background): “One of the main purposes of this and other mesh-refinement techniques used in topology optimization (Stainko 2006) is to generate smooth material surfaces.”