Articles citing this article

The Citing articles tool gives a list of articles citing the current article.
The citing articles come from EDP Sciences database, as well as other publishers participating in CrossRef Cited-by Linking Program. You can set up your personal account to receive an email alert each time this article is cited by a new article (see the menu on the right-hand side of the abstract page).

Cited article:

A Discretize-then-Optimize Approach to PDE-Constrained Shape Optimization

Roland Herzog and Estefanía Loayza-Romero
ESAIM: Control, Optimisation and Calculus of Variations 30 11 (2024)
https://doi.org/10.1051/cocv/2023071

Numerical solution to the exterior Bernoulli problem using the Dirichlet-Robin energy gap cost functional approach in two and three dimensions

Julius Fergy T. Rabago
Numerical Algorithms 94 (1) 175 (2023)
https://doi.org/10.1007/s11075-023-01497-x

Handbook of Mathematical Models and Algorithms in Computer Vision and Imaging

Caroline Geiersbach, Estefania Loayza-Romero and Kathrin Welker
Handbook of Mathematical Models and Algorithms in Computer Vision and Imaging 1585 (2023)
https://doi.org/10.1007/978-3-030-98661-2_120

Handbook of Mathematical Models and Algorithms in Computer Vision and Imaging

Caroline Geiersbach, Estefania Loayza-Romero and Kathrin Welker
Handbook of Mathematical Models and Algorithms in Computer Vision and Imaging 1 (2022)
https://doi.org/10.1007/978-3-030-03009-4_120-1

First and Second Order Shape Optimization Based on Restricted Mesh Deformations

Tommy Etling, Roland Herzog, Estefanía Loayza and Gerd Wachsmuth
SIAM Journal on Scientific Computing 42 (2) A1200 (2020)
https://doi.org/10.1137/19M1241465

Shape Optimization of a Polymer Distributor Using an Eulerian Residence Time Model

Raphael Hohmann and Christian Leithäuser
SIAM Journal on Scientific Computing 41 (4) B625 (2019)
https://doi.org/10.1137/18M1225847

Biomembrane modeling with isogeometric analysis

Andrea Bartezzaghi, Luca Dedè and Alfio Quarteroni
Computer Methods in Applied Mechanics and Engineering 347 103 (2019)
https://doi.org/10.1016/j.cma.2018.12.025

Modeling and optimization of hourglass-shaped aquaporins

Matthieu Bonnivard, Florian Omnès and Yannick Privat
Mathematical Models and Methods in Applied Sciences 28 (08) 1529 (2018)
https://doi.org/10.1142/S0218202518500422

Shape optimization of conductive-media interfaces using an IGA-BEM solver

K.V. Kostas, M.M. Fyrillas, C.G. Politis, A.I. Ginnis and P.D. Kaklis
Computer Methods in Applied Mechanics and Engineering 340 600 (2018)
https://doi.org/10.1016/j.cma.2018.06.019

A posteriori modeling error estimates in the optimization of two-scale elastic composite materials

Sergio Conti, Benedict Geihe, Martin Lenz and Martin Rumpf
ESAIM: Mathematical Modelling and Numerical Analysis 52 (4) 1457 (2018)
https://doi.org/10.1051/m2an/2017004

An Equilibrated Fluxes Approach to the Certified Descent Algorithm for Shape Optimization Using Conforming Finite Element and Discontinuous Galerkin Discretizations

Matteo Giacomini
Journal of Scientific Computing 75 (1) 560 (2018)
https://doi.org/10.1007/s10915-017-0545-1

On the virtual element method for topology optimization on polygonal meshes: A numerical study

P.F. Antonietti, M. Bruggi, S. Scacchi and M. Verani
Computers & Mathematics with Applications 74 (5) 1091 (2017)
https://doi.org/10.1016/j.camwa.2017.05.025

Certified Descent Algorithm for shape optimization driven by fully-computable a posteriori error estimators

Matteo Giacomini, Olivier Pantz and Karim Trabelsi
ESAIM: Control, Optimisation and Calculus of Variations 23 (3) 977 (2017)
https://doi.org/10.1051/cocv/2016021

On structural shape optimization using an embedding domain discretization technique

Stefan Riehl and Paul Steinmann
International Journal for Numerical Methods in Engineering 109 (9) 1315 (2017)
https://doi.org/10.1002/nme.5326

Optimum interfaces that maximize the heat transfer rate between two conforming conductive media

Marios M. Fyrillas, Theodoros Leontiou and Konstantinos V. Kostas
International Journal of Thermal Sciences 121 381 (2017)
https://doi.org/10.1016/j.ijthermalsci.2017.07.020

A posteriori error estimates for sequential laminates in shape optimization

Martin Rumpf and Benedict Geihe
Discrete and Continuous Dynamical Systems - Series S 9 (5) 1377 (2016)
https://doi.org/10.3934/dcdss.2016055

Shape Optimization for Stokes flows: a finite element convergence analysis

Ivan Fumagalli, Nicola Parolini and Marco Verani
ESAIM: Mathematical Modelling and Numerical Analysis 49 (4) 921 (2015)
https://doi.org/10.1051/m2an/2014060

Numerical Mathematics and Advanced Applications - ENUMATH 2013

P. F. Antonietti, Nadia Bigoni and Marco Verani
Lecture Notes in Computational Science and Engineering, Numerical Mathematics and Advanced Applications - ENUMATH 2013 103 125 (2015)
https://doi.org/10.1007/978-3-319-10705-9_12

Optimization with PDE Constraints

Maurizio Falcone and Marco Verani
Lecture Notes in Computational Science and Engineering, Optimization with PDE Constraints 101 65 (2014)
https://doi.org/10.1007/978-3-319-08025-3_3

Mimetic finite differences for nonlinear and control problems

P. F. Antonietti, L. Beirão da Veiga, N. Bigoni and M. Verani
Mathematical Models and Methods in Applied Sciences 24 (08) 1457 (2014)
https://doi.org/10.1142/S0218202514400016

An integrated approach to shape optimization and mesh adaptivity based on material residual forces

Stefan Riehl and Paul Steinmann
Computer Methods in Applied Mechanics and Engineering 278 640 (2014)
https://doi.org/10.1016/j.cma.2014.06.010

Multigrid Shape Optimization Governed by Elliptic PDEs

Paola F. Antonietti, Alfio Borzì and Marco Verani
SIAM Journal on Control and Optimization 51 (2) 1417 (2013)
https://doi.org/10.1137/110860525