Topological derivatives for networks of elastic strings

Leugering G, Sokolowski J (2011)

Publication Type: Journal article

Publication year: 2011

Journal

ZAMM - Zeitschrift für angewandte Mathematik und Mechanik Wiley-VCH Verlag

Publisher: Wiley-VCH Verlag

Book Volume: 91

Pages Range: 926--943

Volume: 91

Issue: 12

Journal Issue: 12

DOI: 10.1002/zamm.201000067

Abstract

We consider linear second order differential equations on metric graphs under given boundary and nodal conditions. We are interested in the problem of changing the topology of the underlying graph in that we replace a multiple node by a subgraph or concentrate a subgraph to a single node. We wish to do so in an optimal fashion. More precisely, given a cost function we may look for its sensitivity with respect to these operations in order to find an optimal topology of the graph. Thus, in essence, we are looking for the topological gradient for linear second order problems on metric graphs.

Authors with CRIS profile

Günter Leugering Lehrstuhl für Angewandte Mathematik

Additional Organisation(s)

Exzellenz-Cluster Engineering of Advanced Materials (EAM)

Involved external institutions

Université de Lorraine FR France (FR)

How to cite

APA:

Leugering, G., & Sokolowski, J. (2011). Topological derivatives for networks of elastic strings. ZAMM - Zeitschrift für angewandte Mathematik und Mechanik, 91(12), 926--943. https://doi.org/10.1002/zamm.201000067

MLA:

Leugering, Günter, and J. Sokolowski. "Topological derivatives for networks of elastic strings." ZAMM - Zeitschrift für angewandte Mathematik und Mechanik 91.12 (2011): 926--943.

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