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:

Stochastic Homogenization and Geometric Singularities: A Study on Corners

Marc Josien, Claudia Raithel and Mathias Schäffner
SIAM Journal on Mathematical Analysis 56 (2) 2395 (2024)
https://doi.org/10.1137/23M1559361

A Symmetric Interior Penalty Method for an Elliptic Distributed Optimal Control Problem with Pointwise State Constraints

Susanne C. Brenner, Joscha Gedicke and Li-Yeng Sung
Computational Methods in Applied Mathematics 23 (3) 565 (2023)
https://doi.org/10.1515/cmam-2022-0148

Singular solutions of the Poisson equation at edges of three‐dimensional domains and their treatment with a predictor–corrector finite element method

Boniface Nkemzi and Michael Jung
Numerical Methods for Partial Differential Equations 37 (1) 836 (2021)
https://doi.org/10.1002/num.22555

Distributed and boundary expressions of first and second order shape derivatives in nonsmooth domains

Antoine Laurain
Journal de Mathématiques Pures et Appliquées 134 328 (2020)
https://doi.org/10.1016/j.matpur.2019.09.002

Predictor–corrector p- and hp-versions of the finite element method for Poisson’s equation in polygonal domains

B. Nkemzi and S. Tanekou
Computer Methods in Applied Mechanics and Engineering 333 74 (2018)
https://doi.org/10.1016/j.cma.2018.01.027

Exponential convergence of the h–p version BEM for mixed boundary value problems on polyhedrons

H. Holm, M. Maischak and E. P. Stephan
Mathematical Methods in the Applied Sciences 31 (17) 2069 (2008)
https://doi.org/10.1002/mma.1009

Numerical study of a new global minimizer for the Mumford-Shah functional in R3

Benoît Merlet
ESAIM: Control, Optimisation and Calculus of Variations 13 (3) 553 (2007)
https://doi.org/10.1051/cocv:2007026

A Quasi-Dual Function Method for Extracting Edge Stress Intensity Functions

Martin Costabel, Monique Dauge and Zohar Yosibash
SIAM Journal on Mathematical Analysis 35 (5) 1177 (2004)
https://doi.org/10.1137/S0036141002404863

Regularity estimates for elliptic boundary value problems with smooth data on polygonal domains

C. Bacuta, J. H. Bramble and J. Xu
Journal of Numerical Mathematics 11 (2) (2003)
https://doi.org/10.1515/156939503766614117

Integral equations for elliptic problems with edge singularities and applications to the fourier-boundary element method

Jean M.-S. Lubuma, Serge Nicaise and Luc Paquet
Numerical Functional Analysis and Optimization 21 (5-6) 743 (2000)
https://doi.org/10.1080/01630560008816983

Multigrid methods for the computation of singular solutions and stress intensity factors II: Crack singularities

S. C. Brenner and L. -Y. Sung
BIT Numerical Mathematics 37 (3) 623 (1997)
https://doi.org/10.1007/BF02510243

On the sharpness of 𝐿²-error estimates of 𝐻¹₀-projections onto subspaces of piecewise, high-order polynomials

Weimin Han and Søren Jensen
Mathematics of Computation 64 (209) 51 (1995)
https://doi.org/10.1090/S0025-5718-1995-1270620-X

Coefficients of the Singularities for Elliptic Boundary Value Problems on Domains with Conical Points. III: Finite Element Methods on Polygonal Domains

Maryse Bourlard, Monique Dauge, Mbaro-Saman Lubuma and Serge Nicaise
SIAM Journal on Numerical Analysis 29 (1) 136 (1992)
https://doi.org/10.1137/0729009

Coefficients of singularities and mixed methods for the mixed Dirichlet-Neumann problem for the Stokes operator on a polygon

Mahieddine Chettab and Mbaro-Saman Lubuma
Journal of Computational and Applied Mathematics 35 (1-3) 139 (1991)
https://doi.org/10.1016/0377-0427(91)90203-V