Topological derivative

Known as: Topological gradient 
The topological derivative is, conceptually, a derivative of a shape functional with respect to infinitesimal changes in its topology, such as adding… (More)
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2015
2015
Topological derivative has been employed for image segmentation and restoration. The topological derivative-based segmentation… (More)
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2013
2013
A comprehensive treatment of the topological derivative for anisotropic elasticity is presented, with both the background… (More)
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2009
2009
In the paper the topological derivative for arbitrary shape functional is deened. Examples are provided for elliptic equations… (More)
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2009
2009
The form of topological derivatives for integral shape functional is derived for a class of semilinear elliptic equations. The… (More)
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Highly Cited
2005
Highly Cited
2005
A numerical coupling of two recent methods in shape and topology optimization of structures is proposed. On the one hand, the… (More)
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Highly Cited
2004
Highly Cited
2004
The aim of this paper is to investigate the use of topological derivatives in combination with the level set method for shape… (More)
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2004
2004
HAL is a multi-disciplinary open access archive for the deposit and dissemination of scientific research documents, whether they… (More)
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2004
2004
HAL is a multi-disciplinary open access archive for the deposit and dissemination of scientific research documents, whether they… (More)
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1999
1999
The topological derivative is introduced for the extremal values of cost functionals for control problems. The optimal control… (More)
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Highly Cited
1998
Highly Cited
1998
A large variety of spacetimes—including the BTZ black holes—can be obtained by identifying points in 2+1 dimensional anti-de… (More)
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