Shape sensitivity for the Laplace--Beltrami operator with singularities.

DOI10.1016/j.jde.2003.07.008zbMath1039.49036OpenAlexW2082584173MaRDI QIDQ1428259

Jean-Paul Zolésio, Jamel Ferchichi

Publication date: 14 March 2004

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2003.07.008

zbMATH Keywords

fractureLaplace-Beltrami operatorflowshape derivativeoriented distancecompactivor propertyHidden regularityKuratowski continuitymin-max derivationtangential extractor

Mathematics Subject Classification ID

Brittle fracture (74R10) Theories of fracture and damage (74A45) Optimization of shapes other than minimal surfaces (49Q10) Sensitivity analysis for optimization problems on manifolds (49Q12) Bounds for solutions of equilibrium problems in solid mechanics (74G45)

Related Items (5)

Generalized solvability and optimization of a parabolic system with a discontinuous solution ⋮ Approximate method for solving the boundary value problem for a parabolic equation with inhomogeneous transmission conditions of nonideal contact type ⋮ A structure theorem for shape functions defined on submanifolds ⋮ Distributed and boundary expressions of first and second order shape derivatives in nonsmooth domains ⋮ RECONSTRUCTION OF SINGULAR SURFACES BY SHAPE SENSITIVITY ANALYSIS AND LEVEL SET METHOD

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• Edge Behavior of the Solution of an Elliptic Problem
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