An Interior Penalty Method with C0 Finite Elements for the Approximation of the Maxwell Equations in Heterogeneous Media: Convergence Analysis with Minimal Regularity
ESAIM: M2AN, 50 5 (2016) 1457-1489
Published online: 2016-09-08
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):
Asymptotic optimality of the edge finite element approximation of the time-harmonic Maxwell’s equations
Théophile Chaumont-Frelet and Alexandre ErnComptes Rendus. Mathématique 363 (G11) 1083 (2025)
https://doi.org/10.5802/crmath.757
The VEM for time-harmonic Maxwell equations in inhomogeneous media with Lipschitz interface
Chunyu Chen, Ruchi Guo and Huayi WeiMathematical Models and Methods in Applied Sciences 35 (08) 1717 (2025)
https://doi.org/10.1142/S0218202525500289
Spectral Correctness of the Simplicial Discontinuous Galerkin Approximation of the First-Order Form of Maxwell’s Equations with Discontinuous Coefficients
Alexandre Ern and Jean-Luc GuermondSIAM Journal on Numerical Analysis 63 (2) 661 (2025)
https://doi.org/10.1137/24M1638331
Magnetic field based finite element method for magneto-static problems with discontinuous electric potential distributions
Sabrina Bénard, Loic Cappanera, Wietze Herreman and Caroline NoreComptes Rendus. Mécanique 351 (S1) 53 (2024)
https://doi.org/10.5802/crmeca.184
A Bochev‐Dohrmann‐Gunzburger stabilized method for Maxwell eigenproblem
Zhijie Du, Huoyuan Duan, Can Wang and Qiuyu ZhangNumerical Methods for Partial Differential Equations 39 (5) 3811 (2023)
https://doi.org/10.1002/num.23026
A stabilized finite element method on nonaffine grids for time-harmonic Maxwell’s equations
Zhijie Du and Huoyuan DuanBIT Numerical Mathematics 63 (4) (2023)
https://doi.org/10.1007/s10543-023-00988-6
An arbitrarily high-order finite element method on arbitrarily shaped domains with automatic mesh generation
Chen Zhiming and Liu YongSCIENTIA SINICA Mathematica (2023)
https://doi.org/10.1360/SSM-2023-0042
2329 113 (2023)
https://doi.org/10.1007/978-3-031-29670-3_4
Analysis of a mixed discontinuous Galerkin method for the time-harmonic Maxwell equations with minimal smoothness requirements
Kaifang Liu, Dietmar Gallistl, Matthias Schlottbom and J J W van der VegtIMA Journal of Numerical Analysis 43 (4) 2320 (2023)
https://doi.org/10.1093/imanum/drac044
Approximation of singular solutions and singular data for Maxwell’s equations by Lagrange elements
Huoyuan Duan, Jiwei Cao, Ping Lin and Roger C E TanIMA Journal of Numerical Analysis 42 (1) 771 (2022)
https://doi.org/10.1093/imanum/draa090
Quasi-optimal Nonconforming Approximation of Elliptic PDEs with Contrasted Coefficients and $$H^{1+{r}}$$, $${r}>0$$, Regularity
Alexandre Ern and Jean-Luc GuermondFoundations of Computational Mathematics 22 (5) 1273 (2022)
https://doi.org/10.1007/s10208-021-09527-7
Developing and Analyzing New Unconditionally Stable Finite Element Schemes for Maxwell’s Equations in Complex Media
Yunqing Huang, Meng Chen and Jichun LiJournal of Scientific Computing 86 (3) (2021)
https://doi.org/10.1007/s10915-020-01406-7
Mixed Finite Element Method with Gauss's Law Enforced for the Maxwell Eigenproblem
Huoyuan Duan, Junhua Ma and Jun ZouSIAM Journal on Scientific Computing 43 (6) A3677 (2021)
https://doi.org/10.1137/20M1350753
Two new finite element schemes and their analysis for modeling of wave propagation in graphene
Jichun LiResults in Applied Mathematics 9 100136 (2021)
https://doi.org/10.1016/j.rinam.2020.100136
A Mixed Method for Maxwell Eigenproblem
Zhijie Du and Huoyuan DuanJournal of Scientific Computing 82 (1) (2020)
https://doi.org/10.1007/s10915-019-01111-0
New Mixed Elements for Maxwell Equations
Huoyuan Duan, Zhijie Du, Wei Liu and Shangyou ZhangSIAM Journal on Numerical Analysis 57 (1) 320 (2019)
https://doi.org/10.1137/18M1168054
Virtual Element approximations of the Vector Potential Formulation of Magnetostatic problems
Lourenço Beirão da Veiga, Franco Brezzi, L. Donatella Marini and Alessandro RussoThe SMAI Journal of computational mathematics 4 399 (2018)
https://doi.org/10.5802/smai-jcm.40
A Mixed $H^1$-Conforming Finite Element Method for Solving Maxwell's Equations with Non-$H^1$ Solution
Huo-Yuan Duan, Roger C. E. Tan, Suh-Yuh Yang and Cheng-Shu YouSIAM Journal on Scientific Computing 40 (1) A224 (2018)
https://doi.org/10.1137/16M1078082