On Discrete Shape Gradients of Boundary Type for PDE-constrained Shape Optimization
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Publication:4994417
DOI10.1137/20M1323898zbMath1466.49035OpenAlexW3166945918MaRDI QIDQ4994417
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Publication date: 18 June 2021
Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/20m1323898
finite elementshape optimizationboundary correctiona priori error estimateshape gradientboundary formulation
Numerical optimization and variational techniques (65K10) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Optimization of shapes other than minimal surfaces (49Q10) Algorithms for approximation of functions (65D15)
Related Items (10)
On Geometric Inverse Problems in Time-Fractional Subdiffusion ⋮ Electrostatic force computation with boundary element methods ⋮ \textit{A priori} error analysis of shape derivatives of linear functionals in structural topology optimization ⋮ Improved Discrete Boundary Type Shape Gradients for PDE-constrained Shape Optimization ⋮ Shape Optimization of the Stokes Eigenvalue Problem ⋮ On Finite Element Approximations to a Shape Gradient Flow in Shape Optimization of Elliptic Problems ⋮ Shape sensitivity analysis of an elastic contact problem: convergence of the Nitsche based finite element approximation ⋮ Optimal error estimates of the discrete shape gradients for shape optimizations governed by the Stokes-Brinkman equations ⋮ A Linear View on Shape Optimization ⋮ Pointwise error estimates for linear finite element approximation to elliptic Dirichlet problems in smooth domains
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