[图书][B] Finite elements II

A Ern, JL Guermond - 2021 - Springer
The mathematization of all sciences, the fading of traditional scientific boundaries, the
impact of computer technology, the growing importance of computer modelling and the …

New mixed elements for Maxwell equations

H Duan, Z Du, W Liu, S Zhang - SIAM Journal on Numerical Analysis, 2019 - SIAM
New inf-sup stable mixed elements are proposed and analyzed for solving the Maxwell
equations in terms of electric field and Lagrange multiplier. Nodal-continuous Lagrange …

Mixed Finite Element Method with Gauss's Law Enforced for the Maxwell Eigenproblem

H Duan, J Ma, J Zou - SIAM Journal on Scientific Computing, 2021 - SIAM
A mixed finite element method is proposed for the Maxwell eigenproblem under the general
setting. The method is based on a modification of the Kikuchi mixed formulation in terms of …

[PDF][PDF] CONVERGENCE ANALYSIS OF NITSCHE EXTENDED FINITE ELEMENT METHODS FOR H (CURL)-ELLIPTIC INTERFACE PROBLEMS.

N Wang, J Chen - International Journal of Numerical Analysis & …, 2022 - math.ualberta.ca
An H (curl)-conforming Nitsche extended finite element method is proposed for H (curl)-
elliptic interface problems in three dimensional Lipschitz domains with smooth interfaces …

Weak Galerkin finite element methods for H (curl; Ω) and H (curl, div; Ω)-elliptic problems

R Kumar, B Deka - Computers & Mathematics with Applications, 2023 - Elsevier
Weak Galerkin finite element methods (WG-FEMs) for H (curl; Ω) and H (curl, div; Ω)-elliptic
problems are investigated in this paper. The WG method as applied to curl-curl and grad-div …

Analysis of a direct discretization of the Maxwell eigenproblem

Z Du, H Duan - Applied Mathematics Letters, 2024 - Elsevier
A direct discretization is analyzed for the computation of the eigenvalues of the Maxwell
eigenproblem, where the finite element space (P k) d+∇ P k+ 1 with the pair of the k th order …

[HTML][HTML] A family of optimal Lagrange elements for Maxwell's equations

H Duan, W Liu, J Ma, RCE Tan, S Zhang - Journal of Computational and …, 2019 - Elsevier
In this paper we propose and study a new Lagrange finite element method for the two-
dimensional Maxwell's equations. Its solution may be singular because of the nonsmooth …

A mixed method for Maxwell eigenproblem

Z Du, H Duan - Journal of Scientific Computing, 2020 - Springer
We propose a mixed method for the computation of the eigenvalues of the Maxwell
eigenproblem, in terms of the electric field and a multiplier. The method allows the Lagrange …

A coercive mixed formulation for the generalized Maxwell problem

H Duan, J Ma, RCE Tan, C Wang - Journal of Computational and Applied …, 2022 - Elsevier
A coercive mixed variational formulation on H 0 (curl; Ω)× H (div; Ω) is proposed for the
generalized Maxwell problem which typically arises from computational electromagnetism …

An unfitted finite element method with direct extension stabilization for time-harmonic Maxwell problems on smooth domains

F Yang, X Xie - Advances in Computational Mathematics, 2024 - Springer
We propose an unfitted finite element method for numerically solving the time-harmonic
Maxwell equations on a smooth domain. The embedded boundary of the domain is allowed …