EDP Sciences logo
Subscriber Authentication Point
Search
Menu
All issues ESAIM: M2AN, 46 2 (2012) 341-388 Article references

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:

This article has been cited by the following article(s):

A mathematical perspective on density functional perturbation theory

Eric Cancès and Nahia Mourad
Nonlinearity 27 (9) 1999 (2014)
DOI: 10.1088/0951-7715/27/9/1999
See this article

A posteriori error estimates for discontinuous Galerkin methods using non-polynomial basis functions. Part II: Eigenvalue problems

Lin Lin and Benjamin Stamm
ESAIM: Mathematical Modelling and Numerical Analysis 51 (5) 1733 (2017)
DOI: 10.1051/m2an/2016081
See this article

Discretization error cancellation in electronic structure calculation: toward a quantitative study

Eric Cancès and Geneviève Dusson
ESAIM: Mathematical Modelling and Numerical Analysis 51 (5) 1617 (2017)
DOI: 10.1051/m2an/2017035
See this article

Partial Differential Equations: Theory, Control and Approximation

Yvon Maday
Partial Differential Equations: Theory, Control and Approximation 349 (2014)
DOI: 10.1007/978-3-642-41401-5_14
See this article

Basis Sets in Computational Chemistry

Eric Cancès
Lecture Notes in Chemistry, Basis Sets in Computational Chemistry 107 103 (2021)
DOI: 10.1007/978-3-030-67262-1_4
See this article

Augmented Lagrangian formulation of orbital-free density functional theory

Phanish Suryanarayana and Deepa Phanish
Journal of Computational Physics 275 524 (2014)
DOI: 10.1016/j.jcp.2014.07.006
See this article

Error estimates for Hermite and even-tempered Gaussian approximations in quantum chemistry

Markus Bachmayr, Huajie Chen and Reinhold Schneider
Numerische Mathematik 128 (1) 137 (2014)
DOI: 10.1007/s00211-014-0605-5
See this article

h — P Finite element approximation for full-potential electronic structure calculations

Yvon Maday
Chinese Annals of Mathematics, Series B 35 (1) 1 (2014)
DOI: 10.1007/s11401-013-0819-3
See this article

Aposteriorianalysis of a nonlinear Gross–Pitaevskii-type eigenvalue problem

Geneviève Dusson and Yvon Maday
IMA Journal of Numerical Analysis 37 (1) 94 (2017)
DOI: 10.1093/imanum/drw001
See this article

A singularity-based eigenfunction decomposition for Kohn-Sham equations

Xin Zhang and Aihui Zhou
Science China Mathematics 59 (8) 1623 (2016)
DOI: 10.1007/s11425-016-0269-7
See this article

Multiscale Analysis and Computation for a Stationary Schrödinger--Poisson System in Heterogeneous Nanostructures

Lei Zhang, Liqun Cao and Jianlan Luo
Multiscale Modeling & Simulation 12 (4) 1561 (2014)
DOI: 10.1137/13091991X
See this article

Numerical analysis of augmented plane wave methods for full-potential electronic structure calculations

Huajie Chen and Reinhold Schneider
ESAIM: Mathematical Modelling and Numerical Analysis 49 (3) 755 (2015)
DOI: 10.1051/m2an/2014052
See this article

Spectral and High Order Methods for Partial Differential Equations ICOSAHOM 2014

Christoph Schwab
Lecture Notes in Computational Science and Engineering, Spectral and High Order Methods for Partial Differential Equations ICOSAHOM 2014 106 435 (2015)
DOI: 10.1007/978-3-319-19800-2_40
See this article

Numerical analysis of finite dimensional approximations of Kohn–Sham models

Huajie Chen, Xingao Gong, Lianhua He, Zhang Yang and Aihui Zhou
Advances in Computational Mathematics 38 (2) 225 (2013)
DOI: 10.1007/s10444-011-9235-y
See this article

Two-grid methods for a class of nonlinear elliptic eigenvalue problems

Eric Cancès, Rachida Chakir, Lianhua He and Yvon Maday
IMA Journal of Numerical Analysis 38 (2) 605 (2018)
DOI: 10.1093/imanum/drw053
See this article

Guaranteed a posteriori bounds for eigenvalues and eigenvectors: Multiplicities and clusters

Eric Cancès, Geneviève Dusson, Yvon Maday, Benjamin Stamm and Martin Vohralík
Mathematics of Computation 89 (326) 2563 (2020)
DOI: 10.1090/mcom/3549
See this article

Post-processing of the plane-wave approximation of Schrödinger equations. Part II: Kohn–Sham models

Geneviève Dusson
IMA Journal of Numerical Analysis 41 (4) 2456 (2021)
DOI: 10.1093/imanum/draa052
See this article

Adaptive Finite Element Approximations for Kohn--Sham Models

Huajie Chen, Xiaoying Dai, Xingao Gong, Lianhua He and Aihui Zhou
Multiscale Modeling & Simulation 12 (4) 1828 (2014)
DOI: 10.1137/130916096
See this article

A spectral scheme for Kohn–Sham density functional theory of clusters

Amartya S. Banerjee, Ryan S. Elliott and Richard D. James
Journal of Computational Physics 287 226 (2015)
DOI: 10.1016/j.jcp.2015.02.009
See this article

Computational Mathematics, Numerical Analysis and Applications

Eric Cancès
SEMA SIMAI Springer Series, Computational Mathematics, Numerical Analysis and Applications 13 61 (2017)
DOI: 10.1007/978-3-319-49631-3_2
See this article

Two-scale finite element discretizations for nonlinear eigenvalue problems in quantum physics

Pengyu Hou and Fang Liu
Advances in Computational Mathematics 47 (4) (2021)
DOI: 10.1007/s10444-021-09883-6
See this article

Exponential convergence in $$H^1$$ of hp-FEM for Gevrey regularity with isotropic singularities

M. Feischl and Ch. Schwab
Numerische Mathematik 144 (2) 323 (2020)
DOI: 10.1007/s00211-019-01085-z
See this article

A discontinuous Galerkin scheme for full-potential electronic structure calculations

Xiaoxu Li and Huajie Chen
Journal of Computational Physics 385 33 (2019)
DOI: 10.1016/j.jcp.2019.02.006
See this article

A perturbation-method-based post-processing for the planewave discretization of Kohn–Sham models

Eric Cancès, Geneviève Dusson, Yvon Maday, Benjamin Stamm and Martin Vohralík
Journal of Computational Physics 307 446 (2016)
DOI: 10.1016/j.jcp.2015.12.012
See this article

Encyclopedia of Applied and Computational Mathematics

Yvon Maday
Encyclopedia of Applied and Computational Mathematics 1042 (2015)
DOI: 10.1007/978-3-540-70529-1_258
See this article

A multilevel correction adaptive finite element method for Kohn–Sham equation

Guanghui Hu, Hehu Xie and Fei Xu
Journal of Computational Physics 355 436 (2018)
DOI: 10.1016/j.jcp.2017.11.024
See this article

A Cascadic Adaptive Finite Element Method for Nonlinear Eigenvalue Problems in Quantum Physics

Fei Xu
Multiscale Modeling & Simulation 18 (1) 198 (2020)
DOI: 10.1137/17M1155569
See this article

A posteriori error estimation for the non-self-consistent Kohn–Sham equations

Michael F. Herbst, Antoine Levitt and Eric Cancès
Faraday Discussions 224 227 (2020)
DOI: 10.1039/D0FD00048E
See this article

Numerical quadrature in the Brillouin zone for periodic Schrödinger operators

Éric Cancès, Virginie Ehrlacher, David Gontier, Antoine Levitt and Damiano Lombardi
Numerische Mathematik 144 (3) 479 (2020)
DOI: 10.1007/s00211-019-01096-w
See this article

Higher-order finite-difference formulation of periodic Orbital-free Density Functional Theory

Swarnava Ghosh and Phanish Suryanarayana
Journal of Computational Physics 307 634 (2016)
DOI: 10.1016/j.jcp.2015.12.027
See this article

Discretization Error Cancellation in the Plane-Wave Approximation of Periodic Hamiltonians with Coulomb Singularities

Mi-Song Dupuy
Journal of Scientific Computing 80 (2) 859 (2019)
DOI: 10.1007/s10915-019-00959-6
See this article

Convergence Analysis of Direct Minimization and Self-Consistent Iterations

Éric Cancès, Gaspard Kemlin and Antoine Levitt
SIAM Journal on Matrix Analysis and Applications 42 (1) 243 (2021)
DOI: 10.1137/20M1332864
See this article

Mesh independence of the generalized Davidson algorithm

C.T. Kelley, J. Bernholc, E.L. Briggs, et al.
Journal of Computational Physics 409 109322 (2020)
DOI: 10.1016/j.jcp.2020.109322
See this article

The spectral-Galerkin approximation of nonlinear eigenvalue problems

Jing An, Jie Shen and Zhimin Zhang
Applied Numerical Mathematics 131 1 (2018)
DOI: 10.1016/j.apnum.2018.04.012
See this article

Post-processing of the planewave approximation of Schrödinger equations. Part I: linear operators

Eric Cancès, Geneviève Dusson, Yvon Maday, Benjamin Stamm and Martin Vohralík
IMA Journal of Numerical Analysis 41 (4) 2423 (2021)
DOI: 10.1093/imanum/draa044
See this article

An Adaptive Planewave Method for Electronic Structure Calculations

Beilei Liu, Huajie Chen, Geneviève Dusson, Jun Fang and Xingyu Gao
Multiscale Modeling & Simulation 20 (1) 524 (2022)
DOI: 10.1137/21M1396241
See this article

Energy-adaptive Riemannian optimization on the Stiefel manifold

Robert Altmann, Daniel Peterseim and Tatjana Stykel
ESAIM: Mathematical Modelling and Numerical Analysis 56 (5) 1629 (2022)
DOI: 10.1051/m2an/2022036
See this article

Numerical analysis of multiple scattering theory for electronic structure calculations

Xiaoxu Li, Huajie Chen and Xingyu Gao
IMA Journal of Numerical Analysis (2022)
DOI: 10.1093/imanum/drac040
See this article

On accelerating a multilevel correction adaptive finite element method for Kohn-Sham equation

Guanghui Hu, Hehu Xie and Fei Xu
Journal of Computational Physics 472 111674 (2023)
DOI: 10.1016/j.jcp.2022.111674
See this article