On the evaluation of finite element sensitivities to nodal coordinates

zbMath1171.65080MaRDI QIDQ836825

Peter K. Jimack, René Schneider

Publication date: 8 September 2009

Published in: ETNA. Electronic Transactions on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/130644

zbMATH Keywords

finite element methodsensitivity analysisnumerical examplesderivativesFEMmoving finite elementsmoving nodesadjointmoving meshdifferentiationshape derivativediscrete adjointnodal coordinatesnode movementnode positions

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Optimization of shapes other than minimal surfaces (49Q10) Sensitivity analysis for optimization problems on manifolds (49Q12)

Related Items

FEINS: Finite Element Solver for Shape Optimization with Adjoint Equations ⋮ First and Second Order Shape Optimization Based on Restricted Mesh Deformations

Uses Software

• FEINS
• FastDer++