Convergence analysis of mixed finite element approximations to shape gradients in the Stokes equation
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Publication:1986443
DOI10.1016/j.cma.2018.08.024zbMath1440.76093OpenAlexW2889553507MaRDI QIDQ1986443
Publication date: 8 April 2020
Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cma.2018.08.024
Stokes and related (Oseen, etc.) flows (76D07) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element methods applied to problems in fluid mechanics (76M10)
Related Items (18)
\textit{A priori} error analysis of shape derivatives of linear functionals in structural topology optimization ⋮ On Distributed $H^1$ Shape Gradient Flows in Optimal Shape Design of Stokes Flows: Convergence Analysis and Numerical Applications ⋮ A high-order mixed polygonal finite element for incompressible Stokes flow analysis ⋮ Improved Discrete Boundary Type Shape Gradients for PDE-constrained Shape Optimization ⋮ Shape Optimization of the Stokes Eigenvalue Problem ⋮ Modelling, analysis, and numerical methods for a geometric inverse source problem in variable-order time-fractional subdiffusion ⋮ On Finite Element Approximations to a Shape Gradient Flow in Shape Optimization of Elliptic Problems ⋮ On mixed finite element approximations of shape gradients in shape optimization with the <scp>Navier–Stokes</scp> equation ⋮ Convergence analysis of Galerkin finite element approximations to shape gradients in eigenvalue optimization ⋮ Numerical reconstruction of a discontinuous diffusive coefficient in variable-order time-fractional subdiffusion ⋮ Shape optimization of Stokes flows by a penalty method ⋮ 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 ⋮ Numerical Shape Reconstruction for a Semi-Linear Elliptic Interface Inverse Problem ⋮ Shape identification in Stokes flow with distributed shape gradients ⋮ On Discrete Shape Gradients of Boundary Type for PDE-constrained Shape Optimization ⋮ Shape optimization of Navier-Stokes flows by a two-grid method ⋮ On accuracy of approximate boundary and distributed \(H^1\) shape gradient flows for eigenvalue optimization
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