Topological derivatives for networks of elastic strings

DOI10.1002/zamm.201000067zbMath1298.74198OpenAlexW2092975388MaRDI QIDQ3103938

Jan Sokolowski, Günter R. Leugering

Publication date: 19 December 2011

Published in: ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/zamm.201000067

zbMATH Keywords

differential equations on metric graphsself-adjoint nodal conditionsSteklov-Poincaré operators on graphstopological sensitivities

Mathematics Subject Classification ID

Planar graphs; geometric and topological aspects of graph theory (05C10) Topological methods for optimization problems in solid mechanics (74P15) Strings (74K05) Sensitivity analysis for optimization problems on manifolds (49Q12)

Related Items (2)

Adaptive refinement based on asymptotic expansions of finite element solutions for node insertion in 1d ⋮ Partial Differential Equations on Metric Graphs: A Survey of Results on Optimization, Control, and Stabilizability Problems with Special Focus on Shape and Topological Sensitivity Problems

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