A priorierror estimates for finite element discretizations of a shape optimization problem

Author:

Kiniger Bernhard,Vexler Boris

Publisher

EDP Sciences

Subject

Applied Mathematics,Modeling and Simulation,Numerical Analysis,Analysis,Computational Mathematics

Reference27 articles.

1. Gascoigne: The finite element toolkit. http://www.gascoigne.uni-hd.de/

2. Rodobo: A c++ library for optimization with stationary and nonstationary pdes. http://rodobo.uni-hd.de/

3. Alkhutov Y.A. and Kondratev V.A., Solvability of the Dirichlet problem for second-order elliptic equations in a convex domain.Differentsial′nye Uravneniya28(1992) 806–818, 917.

4. A. Ambrosetti and G. Prodi, A Primer of Nonlinear Analysis, vol. 34,Cambridge Studies in Advanced Mathematics. Cambridge University Press, Cambridge (1993).

5. D. Braess,Finite Elemente, Springer-Verlag (2007).

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1. Convergent evolving finite element approximations of boundary evolution under shape gradient flow;IMA Journal of Numerical Analysis;2023-10-27

2. On mixed finite element approximations of shape gradients in shape optimization with the  Navier–Stokes equation;Numerical Methods for Partial Differential Equations;2022-11-14

3. A priori error estimates for finite element approximations to transient convection-diffusion-reaction equations in fluidized beds;International Journal of Nonlinear Sciences and Numerical Simulation;2021-11-30

4. Shape optimization in elliptic problem with nonlinear boundary conditions;Proceedings of the Institute of Applied Mathematics and Mechanics NAS of Ukraine;2021-10-25

5. A Continuous Perspective on Shape Optimization via Domain Transformations;SIAM Journal on Scientific Computing;2021-01

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