Zobrazeno 1 - 10
of 47
pro vyhledávání: '"Huoyuan Duan"'
Publikováno v:
Numerical Methods for Partial Differential Equations.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::65d6c9e8168dfe53c0ac286a421d4a47
https://doi.org/10.1002/num.23026
https://doi.org/10.1002/num.23026
Publikováno v:
Journal of Scientific Computing. 93
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::99ee22f66533be80e3dcdf427b6a4597
https://doi.org/10.1007/s10915-022-02043-y
https://doi.org/10.1007/s10915-022-02043-y
Autor:
Huoyuan Duan1 hyduan.math@whu.edu.cn, Tan, Roger C. E.2 scitance@nus.edu.sg
Publikováno v:
Journal of Computational Mathematics. 2020, Vol. 38 Issue 2, p254-290. 37p.
Publikováno v:
SIAM Journal on Scientific Computing. 43:A3677-A3712
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 the electric fie...
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::03f67c380d79fbfaac5a1054b637325f
https://doi.org/10.1137/20m1350753
https://doi.org/10.1137/20m1350753
Autor:
Wei Liu, Huoyuan Duan
Publikováno v:
Computers & Mathematics with Applications. 79:1813-1832
In this paper, a virtual element method for the stochastic Stokes equations driven by an additive white noise is proposed and analyzed. The velocity is approximated by the lowest-order virtual element which is originally designed for the Poisson equa
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::25b4d27a7a383ca922fd505c1328a571
https://doi.org/10.1016/j.camwa.2019.10.005
https://doi.org/10.1016/j.camwa.2019.10.005
Publikováno v:
Journal of Computational and Applied Mathematics. 358:241-265
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 domain with reentrant corners. The proposed method allows the standard Lagran
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f0ff021ee16f931c704dc337f59a999a
https://doi.org/10.1016/j.cam.2019.03.022
https://doi.org/10.1016/j.cam.2019.03.022
Publikováno v:
Numerical Methods for Partial Differential Equations. 36:185-208
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::914c37380c31624bc41be46f4339ab7a
https://doi.org/10.1002/num.22425
https://doi.org/10.1002/num.22425
Publikováno v:
SIAM Journal on Numerical Analysis. 57:320-354
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 elements of any order on simplexes in two- and three-dimensional spaces can be
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::1e2d0bb3549eb30a9b225d5036cb41f7
https://doi.org/10.1137/18m1168054
https://doi.org/10.1137/18m1168054
Autor:
Huoyuan Duan1 hyduan.math@whu.edu.cn, Po-Wen Hsieh2 pwhsieh@nchu.edu.tw, Tan, Roger C.E.3 scitance@nus.edu.sg, Suh-Yuh Yang4,5 syyang@math.ncu.edu.tw
Publikováno v:
Journal of Computational Mathematics. 2018, Vol. 37 Issue 4, p488-524. 37p.
Publikováno v:
Journal of Computational and Applied Mathematics. 402:113787
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. The mixed variables are the electric field and a pseudo electr
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::aa67623c1e505454583894f7e96ca543
https://doi.org/10.1016/j.cam.2021.113787
https://doi.org/10.1016/j.cam.2021.113787